Abstract

We investigate authentication codes, using the model described by Simmons. We review and generalize bounds on the probability that an opponent can deceive the transmitter/receiver by means of impersonation or substitution. Also, we give several constructions for authentication codes that meet one or more of these bounds with equality. These constructions use combinatorial designs, such as transversal designs, group-divisible designs, and BIBDs (balanced incomplete block designs).

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