Technical corrigendum #1 to this standard is available.
This part of ISO/IEC 9798 specifies entity authentication mechanisms using a cryptographic check function. Two mechanisms are concerned with the authentication of a single entity (unilateral authentication), while the remaining are mechanisms for mutual authentication of two entities.
The mechanisms specified in this part of ISO/IEC 9798 use time variant parameters such as time stamps, sequence numbers, or random numbers, to prevent valid authentication information from being accepted at a later time or more than once.
If a time stamp or sequence number is used, one pass is needed for unilateral authentication, while two passes are needed to achieve mutual authentication. If a challenge and response method employing random numbers is used, two passes are needed for unilateral authentication, while three passes are required to achieve mutual authentication.
Examples of cryptographic check functions are given in ISO/IEC 9797.
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Information Technology - Security Techniques - Entity Authentication - Part 4: Mechanisms Using a Cryptographic Check Function (Adopted ISO/IEC 9798-4:1999, second edition, 1999-12-15)
Information Technology - Security Techniques - Entity Authentication - Part 4: Mechanisms Using a Cryptographic Check Function (Adopted ISO/IEC 9798-4:1995)