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 |
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Format: | Artikel |
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. |
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ISSN: | 1439-8516 1439-7617 |
DOI: | 10.1007/s10114-013-2726-7 |