Combinatorial Bounds and Characterizations of Splitting Authentication Codes

Computer Science – Cryptography and Security

Scientific paper

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13 pages; to appear in "Cryptography and Communications"

Scientific paper

We present several generalizations of results for splitting authentication codes by studying the aspect of multi-fold security. As the two primary results, we prove a combinatorial lower bound on the number of encoding rules and a combinatorial characterization of optimal splitting authentication codes that are multi-fold secure against spoofing attacks. The characterization is based on a new type of combinatorial designs, which we introduce and for which basic necessary conditions are given regarding their existence.

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