A New Class of Optimal 3-splitting Authentication Codes |
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Authors: | Jinhua Wang |
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Institution: | (1) School of Sciences, Nantong University, Nantong, 226007, P.R. China |
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Abstract: | The necessary condition for the existence of a (ν, 3× 3,1)-splitting BIBD is ν ≡ 1 (mod 54). In this paper, we show that the
necessary condition is also sufficient with one possible exception of ν = 55. As its application, we obtain a new infinite
class of optimal 3-splitting authentication codes.
AMS Classification: 05B05, 94A62
An erratum to this article is available at . |
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Keywords: | splitting balanced incomplete design splitting authentication code difference family |
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