Construction of Multi-receiver Multi-fold Authentication Codes from Singular Symplectic Geometry over Finite Fields

Shangdi Chen, Zhao Dawei · Algebra Colloquium · 2013

As an extension of the basic model of MRA-codes, multi-receiver multi-fold authentication codes can use a single key distribution phase for multiple message transmission. A multi-receiver multi-fold authentication code is constructed from the singular symplectic geometry over finite fields in this paper. The parameters and probabilities of success in impersonation and substitution attacks by malicious groups of receivers of this code are computed.

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