Cryptology ePrint Archive: Report 2015/618

An Authentication Code over Galois Rings with Optimal Impersonation and Substitution Probabilities

Juan Carlos Ku-Cauich  Guillermo Morales-Luna  Horacio Tapia-Recillas

Abstract: A new systematic authentication scheme based on the Gray map over Galois rings is introduced. The Gray map determines an isometry between the Galois ring and a vector space over a Galois eld. The introduced code attains optimal impersonation and substitution probabilities.

Category / Keywords: secret-key cryptography / Authentication codes; optimality against impersonation and substitution attacks; Gray map; Galois rings.

Date: received 22 Jun 2015

Contact author: jckc35 at hotmail com

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Version: 20150630:183042 (All versions of this report)

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