Difference systems of sets based on cosets partitions |
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| Authors: | Geng Sheng Zhang Hong Rui Wang |
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| Institution: | 1. College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang, 050024, P. R. China
2. Hebei Key Laboratory of Computational Mathematics and Applications, Shijiazhuang, 050024, P. R. China
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| Abstract: | 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 Z ν relative to subgroup of order k, where ν = km is a composite number. As applications, we obtain some new optimal DSSs. |
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| Keywords: | Difference systems of sets code synchronization difference set coset optimal |
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