A new class of splitting 3-designs

被引：0
|
作者：
Miao Liang
Beiliang Du
机构：
[1] Suzhou Vocational University,Foundation Department
[2] Suzhou University,Department of Mathematics
来源：
Designs, Codes and Cryptography | 2011年 / 60卷
关键词：
Splitting ; -designs; Splitting authentication codes; Candelabra splitting ; -systems; 05B05; 94A62;
D O I：
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中图分类号：
学科分类号：
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 × k, 1) splitting designs and, show that there exists a 3-(v, 3 × 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.
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页码：283 / 290
页数：7
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