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900 lines
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Internet Engineering Task Force (IETF) D. M'Raihi
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Request for Comments: 6238 Verisign, Inc.
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Category: Informational S. Machani
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ISSN: 2070-1721 Diversinet Corp.
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M. Pei
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Symantec
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J. Rydell
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Portwise, Inc.
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May 2011
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TOTP: Time-Based One-Time Password Algorithm
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Abstract
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This document describes an extension of the One-Time Password (OTP)
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algorithm, namely the HMAC-based One-Time Password (HOTP) algorithm,
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as defined in RFC 4226, to support the time-based moving factor. The
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HOTP algorithm specifies an event-based OTP algorithm, where the
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moving factor is an event counter. The present work bases the moving
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factor on a time value. A time-based variant of the OTP algorithm
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provides short-lived OTP values, which are desirable for enhanced
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security.
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The proposed algorithm can be used across a wide range of network
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applications, from remote Virtual Private Network (VPN) access and
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Wi-Fi network logon to transaction-oriented Web applications. The
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authors believe that a common and shared algorithm will facilitate
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adoption of two-factor authentication on the Internet by enabling
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interoperability across commercial and open-source implementations.
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Status of This Memo
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This document is not an Internet Standards Track specification; it is
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published for informational purposes.
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This document is a product of the Internet Engineering Task Force
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(IETF). It represents the consensus of the IETF community. It has
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received public review and has been approved for publication by the
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Internet Engineering Steering Group (IESG). Not all documents
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approved by the IESG are a candidate for any level of Internet
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Standard; see Section 2 of RFC 5741.
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Information about the current status of this document, any errata,
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and how to provide feedback on it may be obtained at
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http://www.rfc-editor.org/info/rfc6238.
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M'Raihi, et al. Informational [Page 1]
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RFC 6238 HOTPTimeBased May 2011
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Copyright Notice
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Copyright (c) 2011 IETF Trust and the persons identified as the
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document authors. All rights reserved.
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This document is subject to BCP 78 and the IETF Trust's Legal
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Provisions Relating to IETF Documents
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(http://trustee.ietf.org/license-info) in effect on the date of
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publication of this document. Please review these documents
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carefully, as they describe your rights and restrictions with respect
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to this document. Code Components extracted from this document must
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include Simplified BSD License text as described in Section 4.e of
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the Trust Legal Provisions and are provided without warranty as
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described in the Simplified BSD License.
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Table of Contents
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1. Introduction ....................................................2
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1.1. Scope ......................................................2
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1.2. Background .................................................3
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2. Notation and Terminology ........................................3
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3. Algorithm Requirements ..........................................3
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4. TOTP Algorithm ..................................................4
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4.1. Notations ..................................................4
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4.2. Description ................................................4
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5. Security Considerations .........................................5
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5.1. General ....................................................5
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5.2. Validation and Time-Step Size ..............................6
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6. Resynchronization ...............................................7
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7. Acknowledgements ................................................7
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8. References ......................................................8
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8.1. Normative References .......................................8
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8.2. Informative References .....................................8
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Appendix A. TOTP Algorithm: Reference Implementation ...............9
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Appendix B. Test Vectors ..........................................14
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1. Introduction
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1.1. Scope
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This document describes an extension of the One-Time Password (OTP)
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algorithm, namely the HMAC-based One-Time Password (HOTP) algorithm,
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as defined in [RFC4226], to support the time-based moving factor.
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M'Raihi, et al. Informational [Page 2]
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RFC 6238 HOTPTimeBased May 2011
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1.2. Background
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As defined in [RFC4226], the HOTP algorithm is based on the
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HMAC-SHA-1 algorithm (as specified in [RFC2104]) and applied to an
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increasing counter value representing the message in the HMAC
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computation.
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Basically, the output of the HMAC-SHA-1 calculation is truncated to
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obtain user-friendly values:
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HOTP(K,C) = Truncate(HMAC-SHA-1(K,C))
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where Truncate represents the function that can convert an HMAC-SHA-1
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value into an HOTP value. K and C represent the shared secret and
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counter value; see [RFC4226] for detailed definitions.
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TOTP is the time-based variant of this algorithm, where a value T,
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derived from a time reference and a time step, replaces the counter C
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in the HOTP computation.
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TOTP implementations MAY use HMAC-SHA-256 or HMAC-SHA-512 functions,
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based on SHA-256 or SHA-512 [SHA2] hash functions, instead of the
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HMAC-SHA-1 function that has been specified for the HOTP computation
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in [RFC4226].
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2. Notation and Terminology
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The key words "MUST", "MUST NOT", "REQUIRED", "SHALL", "SHALL NOT",
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"SHOULD", "SHOULD NOT", "RECOMMENDED", "MAY", and "OPTIONAL" in this
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document are to be interpreted as described in [RFC2119].
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3. Algorithm Requirements
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This section summarizes the requirements taken into account for
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designing the TOTP algorithm.
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R1: The prover (e.g., token, soft token) and verifier (authentication
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or validation server) MUST know or be able to derive the current
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Unix time (i.e., the number of seconds elapsed since midnight UTC
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of January 1, 1970) for OTP generation. See [UT] for a more
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detailed definition of the commonly known "Unix time". The
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precision of the time used by the prover affects how often the
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clock synchronization should be done; see Section 6.
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R2: The prover and verifier MUST either share the same secret or the
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knowledge of a secret transformation to generate a shared secret.
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R3: The algorithm MUST use HOTP [RFC4226] as a key building block.
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M'Raihi, et al. Informational [Page 3]
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RFC 6238 HOTPTimeBased May 2011
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R4: The prover and verifier MUST use the same time-step value X.
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R5: There MUST be a unique secret (key) for each prover.
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R6: The keys SHOULD be randomly generated or derived using key
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derivation algorithms.
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R7: The keys MAY be stored in a tamper-resistant device and SHOULD be
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protected against unauthorized access and usage.
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4. TOTP Algorithm
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This variant of the HOTP algorithm specifies the calculation of a
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one-time password value, based on a representation of the counter as
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a time factor.
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4.1. Notations
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o X represents the time step in seconds (default value X =
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30 seconds) and is a system parameter.
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o T0 is the Unix time to start counting time steps (default value is
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0, i.e., the Unix epoch) and is also a system parameter.
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4.2. Description
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Basically, we define TOTP as TOTP = HOTP(K, T), where T is an integer
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and represents the number of time steps between the initial counter
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time T0 and the current Unix time.
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More specifically, T = (Current Unix time - T0) / X, where the
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default floor function is used in the computation.
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For example, with T0 = 0 and Time Step X = 30, T = 1 if the current
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Unix time is 59 seconds, and T = 2 if the current Unix time is
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60 seconds.
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The implementation of this algorithm MUST support a time value T
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larger than a 32-bit integer when it is beyond the year 2038. The
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value of the system parameters X and T0 are pre-established during
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the provisioning process and communicated between a prover and
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verifier as part of the provisioning step. The provisioning flow is
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out of scope of this document; refer to [RFC6030] for such
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provisioning container specifications.
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M'Raihi, et al. Informational [Page 4]
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RFC 6238 HOTPTimeBased May 2011
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5. Security Considerations
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5.1. General
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The security and strength of this algorithm depend on the properties
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of the underlying building block HOTP, which is a construction based
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on HMAC [RFC2104] using SHA-1 as the hash function.
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The conclusion of the security analysis detailed in [RFC4226] is
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that, for all practical purposes, the outputs of the dynamic
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truncation on distinct inputs are uniformly and independently
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distributed strings.
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The analysis demonstrates that the best possible attack against the
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HOTP function is the brute force attack.
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As indicated in the algorithm requirement section, keys SHOULD be
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chosen at random or using a cryptographically strong pseudorandom
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generator properly seeded with a random value.
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Keys SHOULD be of the length of the HMAC output to facilitate
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interoperability.
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We RECOMMEND following the recommendations in [RFC4086] for all
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pseudorandom and random number generations. The pseudorandom numbers
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used for generating the keys SHOULD successfully pass the randomness
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test specified in [CN], or a similar well-recognized test.
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All the communications SHOULD take place over a secure channel, e.g.,
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Secure Socket Layer/Transport Layer Security (SSL/TLS) [RFC5246] or
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IPsec connections [RFC4301].
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We also RECOMMEND storing the keys securely in the validation system,
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and, more specifically, encrypting them using tamper-resistant
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hardware encryption and exposing them only when required: for
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example, the key is decrypted when needed to verify an OTP value, and
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re-encrypted immediately to limit exposure in the RAM to a short
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period of time.
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The key store MUST be in a secure area, to avoid, as much as
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possible, direct attack on the validation system and secrets
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database. Particularly, access to the key material should be limited
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to programs and processes required by the validation system only.
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M'Raihi, et al. Informational [Page 5]
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RFC 6238 HOTPTimeBased May 2011
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5.2. Validation and Time-Step Size
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An OTP generated within the same time step will be the same. When an
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OTP is received at a validation system, it doesn't know a client's
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exact timestamp when an OTP was generated. The validation system may
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typically use the timestamp when an OTP is received for OTP
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comparison. Due to network latency, the gap (as measured by T, that
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is, the number of time steps since T0) between the time that the OTP
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was generated and the time that the OTP arrives at the receiving
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system may be large. The receiving time at the validation system and
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the actual OTP generation may not fall within the same time-step
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window that produced the same OTP. When an OTP is generated at the
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end of a time-step window, the receiving time most likely falls into
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the next time-step window. A validation system SHOULD typically set
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a policy for an acceptable OTP transmission delay window for
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validation. The validation system should compare OTPs not only with
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the receiving timestamp but also the past timestamps that are within
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the transmission delay. A larger acceptable delay window would
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expose a larger window for attacks. We RECOMMEND that at most one
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time step is allowed as the network delay.
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The time-step size has an impact on both security and usability. A
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larger time-step size means a larger validity window for an OTP to be
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accepted by a validation system. There are implications for using a
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larger time-step size, as follows:
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First, a larger time-step size exposes a larger window to attack.
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When an OTP is generated and exposed to a third party before it is
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consumed, the third party can consume the OTP within the time-step
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window.
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We RECOMMEND a default time-step size of 30 seconds. This default
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value of 30 seconds is selected as a balance between security and
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usability.
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Second, the next different OTP must be generated in the next time-
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step window. A user must wait until the clock moves to the next
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time-step window from the last submission. The waiting time may not
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be exactly the length of the time step, depending on when the last
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OTP was generated. For example, if the last OTP was generated at the
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halfway point in a time-step window, the waiting time for the next
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OTP is half the length of the time step. In general, a larger time-
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step window means a longer waiting time for a user to get the next
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valid OTP after the last successful OTP validation. A too-large
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window (for example, 10 minutes) most probably won't be suitable for
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typical Internet login use cases; a user may not be able to get the
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next OTP within 10 minutes and therefore will have to re-login to the
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same site in 10 minutes.
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M'Raihi, et al. Informational [Page 6]
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RFC 6238 HOTPTimeBased May 2011
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Note that a prover may send the same OTP inside a given time-step
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window multiple times to a verifier. The verifier MUST NOT accept
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the second attempt of the OTP after the successful validation has
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been issued for the first OTP, which ensures one-time only use of an
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OTP.
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6. Resynchronization
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Because of possible clock drifts between a client and a validation
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server, we RECOMMEND that the validator be set with a specific limit
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to the number of time steps a prover can be "out of synch" before
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being rejected.
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This limit can be set both forward and backward from the calculated
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time step on receipt of the OTP value. If the time step is
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30 seconds as recommended, and the validator is set to only accept
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two time steps backward, then the maximum elapsed time drift would be
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around 89 seconds, i.e., 29 seconds in the calculated time step and
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60 seconds for two backward time steps.
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This would mean the validator could perform a validation against the
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current time and then two further validations for each backward step
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(for a total of 3 validations). Upon successful validation, the
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validation server can record the detected clock drift for the token
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in terms of the number of time steps. When a new OTP is received
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after this step, the validator can validate the OTP with the current
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timestamp adjusted with the recorded number of time-step clock drifts
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for the token.
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Also, it is important to note that the longer a prover has not sent
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an OTP to a validation system, the longer (potentially) the
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accumulated clock drift between the prover and the verifier. In such
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cases, the automatic resynchronization described above may not work
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if the drift exceeds the allowed threshold. Additional
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authentication measures should be used to safely authenticate the
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prover and explicitly resynchronize the clock drift between the
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prover and the validator.
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7. Acknowledgements
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The authors of this document would like to thank the following people
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for their contributions and support to make this a better
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specification: Hannes Tschofenig, Jonathan Tuliani, David Dix,
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Siddharth Bajaj, Stu Veath, Shuh Chang, Oanh Hoang, John Huang, and
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Siddhartha Mohapatra.
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M'Raihi, et al. Informational [Page 7]
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RFC 6238 HOTPTimeBased May 2011
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8. References
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8.1. Normative References
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[RFC2104] Krawczyk, H., Bellare, M., and R. Canetti, "HMAC: Keyed-
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Hashing for Message Authentication", RFC 2104,
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February 1997.
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[RFC2119] Bradner, S., "Key words for use in RFCs to Indicate
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Requirement Levels", BCP 14, RFC 2119, March 1997.
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[RFC4086] Eastlake 3rd, D., Schiller, J., and S. Crocker,
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"Randomness Recommendations for Security", BCP 106,
|
|||
|
RFC 4086, June 2005.
|
|||
|
|
|||
|
[RFC4226] M'Raihi, D., Bellare, M., Hoornaert, F., Naccache, D., and
|
|||
|
O. Ranen, "HOTP: An HMAC-Based One-Time Password
|
|||
|
Algorithm", RFC 4226, December 2005.
|
|||
|
|
|||
|
[SHA2] NIST, "FIPS PUB 180-3: Secure Hash Standard (SHS)",
|
|||
|
October 2008, <http://csrc.nist.gov/publications/fips/
|
|||
|
fips180-3/fips180-3_final.pdf>.
|
|||
|
|
|||
|
8.2. Informative References
|
|||
|
|
|||
|
[CN] Coron, J. and D. Naccache, "An Accurate Evaluation of
|
|||
|
Maurer's Universal Test", LNCS 1556, February 1999,
|
|||
|
<http://www.gemplus.com/smart/rd/publications/pdf/
|
|||
|
CN99maur.pdf>.
|
|||
|
|
|||
|
[RFC4301] Kent, S. and K. Seo, "Security Architecture for the
|
|||
|
Internet Protocol", RFC 4301, December 2005.
|
|||
|
|
|||
|
[RFC5246] Dierks, T. and E. Rescorla, "The Transport Layer Security
|
|||
|
(TLS) Protocol Version 1.2", RFC 5246, August 2008.
|
|||
|
|
|||
|
[RFC6030] Hoyer, P., Pei, M., and S. Machani, "Portable Symmetric
|
|||
|
Key Container (PSKC)", RFC 6030, October 2010.
|
|||
|
|
|||
|
[UT] Wikipedia, "Unix time", February 2011,
|
|||
|
<http://en.wikipedia.org/wiki/Unix_time>.
|
|||
|
|
|||
|
|
|||
|
|
|||
|
|
|||
|
|
|||
|
|
|||
|
|
|||
|
|
|||
|
|
|||
|
|
|||
|
M'Raihi, et al. Informational [Page 8]
|
|||
|
|
|||
|
RFC 6238 HOTPTimeBased May 2011
|
|||
|
|
|||
|
|
|||
|
Appendix A. TOTP Algorithm: Reference Implementation
|
|||
|
|
|||
|
<CODE BEGINS>
|
|||
|
|
|||
|
/**
|
|||
|
Copyright (c) 2011 IETF Trust and the persons identified as
|
|||
|
authors of the code. All rights reserved.
|
|||
|
|
|||
|
Redistribution and use in source and binary forms, with or without
|
|||
|
modification, is permitted pursuant to, and subject to the license
|
|||
|
terms contained in, the Simplified BSD License set forth in Section
|
|||
|
4.c of the IETF Trust's Legal Provisions Relating to IETF Documents
|
|||
|
(http://trustee.ietf.org/license-info).
|
|||
|
*/
|
|||
|
|
|||
|
import java.lang.reflect.UndeclaredThrowableException;
|
|||
|
import java.security.GeneralSecurityException;
|
|||
|
import java.text.DateFormat;
|
|||
|
import java.text.SimpleDateFormat;
|
|||
|
import java.util.Date;
|
|||
|
import javax.crypto.Mac;
|
|||
|
import javax.crypto.spec.SecretKeySpec;
|
|||
|
import java.math.BigInteger;
|
|||
|
import java.util.TimeZone;
|
|||
|
|
|||
|
|
|||
|
/**
|
|||
|
* This is an example implementation of the OATH
|
|||
|
* TOTP algorithm.
|
|||
|
* Visit www.openauthentication.org for more information.
|
|||
|
*
|
|||
|
* @author Johan Rydell, PortWise, Inc.
|
|||
|
*/
|
|||
|
|
|||
|
public class TOTP {
|
|||
|
|
|||
|
private TOTP() {}
|
|||
|
|
|||
|
/**
|
|||
|
* This method uses the JCE to provide the crypto algorithm.
|
|||
|
* HMAC computes a Hashed Message Authentication Code with the
|
|||
|
* crypto hash algorithm as a parameter.
|
|||
|
*
|
|||
|
* @param crypto: the crypto algorithm (HmacSHA1, HmacSHA256,
|
|||
|
* HmacSHA512)
|
|||
|
* @param keyBytes: the bytes to use for the HMAC key
|
|||
|
* @param text: the message or text to be authenticated
|
|||
|
*/
|
|||
|
|
|||
|
|
|||
|
|
|||
|
M'Raihi, et al. Informational [Page 9]
|
|||
|
|
|||
|
RFC 6238 HOTPTimeBased May 2011
|
|||
|
|
|||
|
|
|||
|
private static byte[] hmac_sha(String crypto, byte[] keyBytes,
|
|||
|
byte[] text){
|
|||
|
try {
|
|||
|
Mac hmac;
|
|||
|
hmac = Mac.getInstance(crypto);
|
|||
|
SecretKeySpec macKey =
|
|||
|
new SecretKeySpec(keyBytes, "RAW");
|
|||
|
hmac.init(macKey);
|
|||
|
return hmac.doFinal(text);
|
|||
|
} catch (GeneralSecurityException gse) {
|
|||
|
throw new UndeclaredThrowableException(gse);
|
|||
|
}
|
|||
|
}
|
|||
|
|
|||
|
|
|||
|
/**
|
|||
|
* This method converts a HEX string to Byte[]
|
|||
|
*
|
|||
|
* @param hex: the HEX string
|
|||
|
*
|
|||
|
* @return: a byte array
|
|||
|
*/
|
|||
|
|
|||
|
private static byte[] hexStr2Bytes(String hex){
|
|||
|
// Adding one byte to get the right conversion
|
|||
|
// Values starting with "0" can be converted
|
|||
|
byte[] bArray = new BigInteger("10" + hex,16).toByteArray();
|
|||
|
|
|||
|
// Copy all the REAL bytes, not the "first"
|
|||
|
byte[] ret = new byte[bArray.length - 1];
|
|||
|
for (int i = 0; i < ret.length; i++)
|
|||
|
ret[i] = bArray[i+1];
|
|||
|
return ret;
|
|||
|
}
|
|||
|
|
|||
|
private static final int[] DIGITS_POWER
|
|||
|
// 0 1 2 3 4 5 6 7 8
|
|||
|
= {1,10,100,1000,10000,100000,1000000,10000000,100000000 };
|
|||
|
|
|||
|
|
|||
|
|
|||
|
|
|||
|
|
|||
|
|
|||
|
|
|||
|
|
|||
|
|
|||
|
|
|||
|
|
|||
|
|
|||
|
|
|||
|
M'Raihi, et al. Informational [Page 10]
|
|||
|
|
|||
|
RFC 6238 HOTPTimeBased May 2011
|
|||
|
|
|||
|
|
|||
|
/**
|
|||
|
* This method generates a TOTP value for the given
|
|||
|
* set of parameters.
|
|||
|
*
|
|||
|
* @param key: the shared secret, HEX encoded
|
|||
|
* @param time: a value that reflects a time
|
|||
|
* @param returnDigits: number of digits to return
|
|||
|
*
|
|||
|
* @return: a numeric String in base 10 that includes
|
|||
|
* {@link truncationDigits} digits
|
|||
|
*/
|
|||
|
|
|||
|
public static String generateTOTP(String key,
|
|||
|
String time,
|
|||
|
String returnDigits){
|
|||
|
return generateTOTP(key, time, returnDigits, "HmacSHA1");
|
|||
|
}
|
|||
|
|
|||
|
|
|||
|
/**
|
|||
|
* This method generates a TOTP value for the given
|
|||
|
* set of parameters.
|
|||
|
*
|
|||
|
* @param key: the shared secret, HEX encoded
|
|||
|
* @param time: a value that reflects a time
|
|||
|
* @param returnDigits: number of digits to return
|
|||
|
*
|
|||
|
* @return: a numeric String in base 10 that includes
|
|||
|
* {@link truncationDigits} digits
|
|||
|
*/
|
|||
|
|
|||
|
public static String generateTOTP256(String key,
|
|||
|
String time,
|
|||
|
String returnDigits){
|
|||
|
return generateTOTP(key, time, returnDigits, "HmacSHA256");
|
|||
|
}
|
|||
|
|
|||
|
|
|||
|
|
|||
|
|
|||
|
|
|||
|
|
|||
|
|
|||
|
|
|||
|
|
|||
|
|
|||
|
|
|||
|
|
|||
|
|
|||
|
|
|||
|
|
|||
|
M'Raihi, et al. Informational [Page 11]
|
|||
|
|
|||
|
RFC 6238 HOTPTimeBased May 2011
|
|||
|
|
|||
|
|
|||
|
/**
|
|||
|
* This method generates a TOTP value for the given
|
|||
|
* set of parameters.
|
|||
|
*
|
|||
|
* @param key: the shared secret, HEX encoded
|
|||
|
* @param time: a value that reflects a time
|
|||
|
* @param returnDigits: number of digits to return
|
|||
|
*
|
|||
|
* @return: a numeric String in base 10 that includes
|
|||
|
* {@link truncationDigits} digits
|
|||
|
*/
|
|||
|
|
|||
|
public static String generateTOTP512(String key,
|
|||
|
String time,
|
|||
|
String returnDigits){
|
|||
|
return generateTOTP(key, time, returnDigits, "HmacSHA512");
|
|||
|
}
|
|||
|
|
|||
|
|
|||
|
/**
|
|||
|
* This method generates a TOTP value for the given
|
|||
|
* set of parameters.
|
|||
|
*
|
|||
|
* @param key: the shared secret, HEX encoded
|
|||
|
* @param time: a value that reflects a time
|
|||
|
* @param returnDigits: number of digits to return
|
|||
|
* @param crypto: the crypto function to use
|
|||
|
*
|
|||
|
* @return: a numeric String in base 10 that includes
|
|||
|
* {@link truncationDigits} digits
|
|||
|
*/
|
|||
|
|
|||
|
public static String generateTOTP(String key,
|
|||
|
String time,
|
|||
|
String returnDigits,
|
|||
|
String crypto){
|
|||
|
int codeDigits = Integer.decode(returnDigits).intValue();
|
|||
|
String result = null;
|
|||
|
|
|||
|
// Using the counter
|
|||
|
// First 8 bytes are for the movingFactor
|
|||
|
// Compliant with base RFC 4226 (HOTP)
|
|||
|
while (time.length() < 16 )
|
|||
|
time = "0" + time;
|
|||
|
|
|||
|
// Get the HEX in a Byte[]
|
|||
|
byte[] msg = hexStr2Bytes(time);
|
|||
|
byte[] k = hexStr2Bytes(key);
|
|||
|
|
|||
|
|
|||
|
|
|||
|
M'Raihi, et al. Informational [Page 12]
|
|||
|
|
|||
|
RFC 6238 HOTPTimeBased May 2011
|
|||
|
|
|||
|
|
|||
|
byte[] hash = hmac_sha(crypto, k, msg);
|
|||
|
|
|||
|
// put selected bytes into result int
|
|||
|
int offset = hash[hash.length - 1] & 0xf;
|
|||
|
|
|||
|
int binary =
|
|||
|
((hash[offset] & 0x7f) << 24) |
|
|||
|
((hash[offset + 1] & 0xff) << 16) |
|
|||
|
((hash[offset + 2] & 0xff) << 8) |
|
|||
|
(hash[offset + 3] & 0xff);
|
|||
|
|
|||
|
int otp = binary % DIGITS_POWER[codeDigits];
|
|||
|
|
|||
|
result = Integer.toString(otp);
|
|||
|
while (result.length() < codeDigits) {
|
|||
|
result = "0" + result;
|
|||
|
}
|
|||
|
return result;
|
|||
|
}
|
|||
|
|
|||
|
public static void main(String[] args) {
|
|||
|
// Seed for HMAC-SHA1 - 20 bytes
|
|||
|
String seed = "3132333435363738393031323334353637383930";
|
|||
|
// Seed for HMAC-SHA256 - 32 bytes
|
|||
|
String seed32 = "3132333435363738393031323334353637383930" +
|
|||
|
"313233343536373839303132";
|
|||
|
// Seed for HMAC-SHA512 - 64 bytes
|
|||
|
String seed64 = "3132333435363738393031323334353637383930" +
|
|||
|
"3132333435363738393031323334353637383930" +
|
|||
|
"3132333435363738393031323334353637383930" +
|
|||
|
"31323334";
|
|||
|
long T0 = 0;
|
|||
|
long X = 30;
|
|||
|
long testTime[] = {59L, 1111111109L, 1111111111L,
|
|||
|
1234567890L, 2000000000L, 20000000000L};
|
|||
|
|
|||
|
String steps = "0";
|
|||
|
DateFormat df = new SimpleDateFormat("yyyy-MM-dd HH:mm:ss");
|
|||
|
df.setTimeZone(TimeZone.getTimeZone("UTC"));
|
|||
|
|
|||
|
|
|||
|
|
|||
|
|
|||
|
|
|||
|
|
|||
|
|
|||
|
|
|||
|
|
|||
|
|
|||
|
|
|||
|
|
|||
|
M'Raihi, et al. Informational [Page 13]
|
|||
|
|
|||
|
RFC 6238 HOTPTimeBased May 2011
|
|||
|
|
|||
|
|
|||
|
try {
|
|||
|
System.out.println(
|
|||
|
"+---------------+-----------------------+" +
|
|||
|
"------------------+--------+--------+");
|
|||
|
System.out.println(
|
|||
|
"| Time(sec) | Time (UTC format) " +
|
|||
|
"| Value of T(Hex) | TOTP | Mode |");
|
|||
|
System.out.println(
|
|||
|
"+---------------+-----------------------+" +
|
|||
|
"------------------+--------+--------+");
|
|||
|
|
|||
|
for (int i=0; i<testTime.length; i++) {
|
|||
|
long T = (testTime[i] - T0)/X;
|
|||
|
steps = Long.toHexString(T).toUpperCase();
|
|||
|
while (steps.length() < 16) steps = "0" + steps;
|
|||
|
String fmtTime = String.format("%1$-11s", testTime[i]);
|
|||
|
String utcTime = df.format(new Date(testTime[i]*1000));
|
|||
|
System.out.print("| " + fmtTime + " | " + utcTime +
|
|||
|
" | " + steps + " |");
|
|||
|
System.out.println(generateTOTP(seed, steps, "8",
|
|||
|
"HmacSHA1") + "| SHA1 |");
|
|||
|
System.out.print("| " + fmtTime + " | " + utcTime +
|
|||
|
" | " + steps + " |");
|
|||
|
System.out.println(generateTOTP(seed32, steps, "8",
|
|||
|
"HmacSHA256") + "| SHA256 |");
|
|||
|
System.out.print("| " + fmtTime + " | " + utcTime +
|
|||
|
" | " + steps + " |");
|
|||
|
System.out.println(generateTOTP(seed64, steps, "8",
|
|||
|
"HmacSHA512") + "| SHA512 |");
|
|||
|
|
|||
|
System.out.println(
|
|||
|
"+---------------+-----------------------+" +
|
|||
|
"------------------+--------+--------+");
|
|||
|
}
|
|||
|
}catch (final Exception e){
|
|||
|
System.out.println("Error : " + e);
|
|||
|
}
|
|||
|
}
|
|||
|
}
|
|||
|
|
|||
|
<CODE ENDS>
|
|||
|
|
|||
|
Appendix B. Test Vectors
|
|||
|
|
|||
|
This section provides test values that can be used for the HOTP time-
|
|||
|
based variant algorithm interoperability test.
|
|||
|
|
|||
|
|
|||
|
|
|||
|
|
|||
|
|
|||
|
M'Raihi, et al. Informational [Page 14]
|
|||
|
|
|||
|
RFC 6238 HOTPTimeBased May 2011
|
|||
|
|
|||
|
|
|||
|
The test token shared secret uses the ASCII string value
|
|||
|
"12345678901234567890". With Time Step X = 30, and the Unix epoch as
|
|||
|
the initial value to count time steps, where T0 = 0, the TOTP
|
|||
|
algorithm will display the following values for specified modes and
|
|||
|
timestamps.
|
|||
|
|
|||
|
+-------------+--------------+------------------+----------+--------+
|
|||
|
| Time (sec) | UTC Time | Value of T (hex) | TOTP | Mode |
|
|||
|
+-------------+--------------+------------------+----------+--------+
|
|||
|
| 59 | 1970-01-01 | 0000000000000001 | 94287082 | SHA1 |
|
|||
|
| | 00:00:59 | | | |
|
|||
|
| 59 | 1970-01-01 | 0000000000000001 | 46119246 | SHA256 |
|
|||
|
| | 00:00:59 | | | |
|
|||
|
| 59 | 1970-01-01 | 0000000000000001 | 90693936 | SHA512 |
|
|||
|
| | 00:00:59 | | | |
|
|||
|
| 1111111109 | 2005-03-18 | 00000000023523EC | 07081804 | SHA1 |
|
|||
|
| | 01:58:29 | | | |
|
|||
|
| 1111111109 | 2005-03-18 | 00000000023523EC | 68084774 | SHA256 |
|
|||
|
| | 01:58:29 | | | |
|
|||
|
| 1111111109 | 2005-03-18 | 00000000023523EC | 25091201 | SHA512 |
|
|||
|
| | 01:58:29 | | | |
|
|||
|
| 1111111111 | 2005-03-18 | 00000000023523ED | 14050471 | SHA1 |
|
|||
|
| | 01:58:31 | | | |
|
|||
|
| 1111111111 | 2005-03-18 | 00000000023523ED | 67062674 | SHA256 |
|
|||
|
| | 01:58:31 | | | |
|
|||
|
| 1111111111 | 2005-03-18 | 00000000023523ED | 99943326 | SHA512 |
|
|||
|
| | 01:58:31 | | | |
|
|||
|
| 1234567890 | 2009-02-13 | 000000000273EF07 | 89005924 | SHA1 |
|
|||
|
| | 23:31:30 | | | |
|
|||
|
| 1234567890 | 2009-02-13 | 000000000273EF07 | 91819424 | SHA256 |
|
|||
|
| | 23:31:30 | | | |
|
|||
|
| 1234567890 | 2009-02-13 | 000000000273EF07 | 93441116 | SHA512 |
|
|||
|
| | 23:31:30 | | | |
|
|||
|
| 2000000000 | 2033-05-18 | 0000000003F940AA | 69279037 | SHA1 |
|
|||
|
| | 03:33:20 | | | |
|
|||
|
| 2000000000 | 2033-05-18 | 0000000003F940AA | 90698825 | SHA256 |
|
|||
|
| | 03:33:20 | | | |
|
|||
|
| 2000000000 | 2033-05-18 | 0000000003F940AA | 38618901 | SHA512 |
|
|||
|
| | 03:33:20 | | | |
|
|||
|
| 20000000000 | 2603-10-11 | 0000000027BC86AA | 65353130 | SHA1 |
|
|||
|
| | 11:33:20 | | | |
|
|||
|
| 20000000000 | 2603-10-11 | 0000000027BC86AA | 77737706 | SHA256 |
|
|||
|
| | 11:33:20 | | | |
|
|||
|
| 20000000000 | 2603-10-11 | 0000000027BC86AA | 47863826 | SHA512 |
|
|||
|
| | 11:33:20 | | | |
|
|||
|
+-------------+--------------+------------------+----------+--------+
|
|||
|
|
|||
|
Table 1: TOTP Table
|
|||
|
|
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M'Raihi, et al. Informational [Page 15]
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RFC 6238 HOTPTimeBased May 2011
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Authors' Addresses
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David M'Raihi
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Verisign, Inc.
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685 E. Middlefield Road
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Mountain View, CA 94043
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USA
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EMail: davidietf@gmail.com
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Salah Machani
|
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Diversinet Corp.
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2225 Sheppard Avenue East, Suite 1801
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Toronto, Ontario M2J 5C2
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Canada
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EMail: smachani@diversinet.com
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Mingliang Pei
|
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Symantec
|
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510 E. Middlefield Road
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Mountain View, CA 94043
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USA
|
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EMail: Mingliang_Pei@symantec.com
|
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Johan Rydell
|
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|
Portwise, Inc.
|
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275 Hawthorne Ave., Suite 119
|
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|
Palo Alto, CA 94301
|
|||
|
USA
|
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EMail: johanietf@gmail.com
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M'Raihi, et al. Informational [Page 16]
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