Difference Systems of Sets Based on Cosets Partitions

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. A...

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Veröffentlicht in:Acta mathematica Sinica. English series 2013-12, Vol.29 (12), p.2261-2272
Hauptverfasser: Zhang, Geng Sheng, Wang, Hong Rui
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Sprache:eng
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Zusammenfassung: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.
ISSN:1439-8516
1439-7617
DOI:10.1007/s10114-013-2726-7