科研之友
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摘要
Splitting t-designs were first formulated by Huber in recent investigation of optimal (t - 1)-fold secure splitting authentication codes. In this paper, we investigate the construction and existence of splitting t-designs t-(v, u x k, 1) splitting designs and, show that there exists a 3-(v, 3 x 2, 1) splitting design if and only if v =2 (mod 8). As its application, we obtain a new infinite class of optimal 2-fold secure splitting authentication codes.
