Abstract:Combinatorial characterization of optimal authentication codes with arbitration was previously given by several groups of researchers in terms of affine a-resolvable $+$ BIBDs and $\alpha$ -resolvable designs with some special properties, respectively. In this paper, we revisit this known characterization and restate it using a new idea of GOB designs. This newly introduced combinatorial structure simplifies the characterization, and enables us to extend Johansson's well-known family of optimal authentication … Show more
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