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Diference Systems of Sets Based on Cosets Partitions

Diference Systems of Sets Based on Cosets Partitions
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摘要 Difference systems of sets （DSS） are combinatorial configurations that arise in connection with code synchronization. This paper proposes a new method to construct DSSs, which uses known DSSs to partition some of the cosets of Zv relative to subgroup of order k, where v = km is a composite number. As applications, we obtain some new optimal DSSs. Difference systems of sets （DSS） are combinatorial configurations that arise in connection with code synchronization. This paper proposes a new method to construct DSSs, which uses known DSSs to partition some of the cosets of Zv relative to subgroup of order k, where v = km is a composite number. As applications, we obtain some new optimal DSSs.
作者 Geng Sheng ZHANG Hong Rui WANG
机构地区 College of Mathematics and Information Science Hebei Key Laboratory of Computational Mathematics and Applications
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2013年第12期2261-2272,共12页 数学学报（英文版）
基金 Supported by Natural Science Foundation of Hebei Province(Grant No.A2013205073)
关键词 Difference systems of sets code synchronization difference set COSET OPTIMAL Difference systems of sets, code synchronization, difference set, coset, optimal
分类号 O152 [理学—基础数学]
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参考文献16

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  • 3Fan, C., Lei, J., Chang, Y.: Constructions of difference systems of sets and disjoint difference families. IEEE Trans. Inform. Theory, 54, 3195 3201 (2008).
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  • 5Golomb, S. W., Gordon, B., Welch, L. R.: Comma-free codes. Canad. J. Math., 10, 202 209 (1958).
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Acta Mathematica Sinica,English Series
2013年 第12期

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