Diference Systems of Sets Based on Cosets Partitions  

作　　者：Geng Sheng ZHANG Hong Rui WANG 

机构地区：[1]College of Mathematics and Information Science, Hebei Normal University [2]Hebei Key Laboratory of Computational Mathematics and Applications

出　　处：《Acta Mathematica Sinica,English Series》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)

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.

关 键 词：Difference systems of sets code synchronization difference set COSET OPTIMAL 

分 类 号：O152[理学—数学]