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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| container_title | Acta mathematica Sinica. English series |
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| creator | Zhang, Geng Sheng Wang, Hong Rui |
| description | 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. |
| doi_str_mv | 10.1007/s10114-013-2726-7 |
| format | Article |
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As applications, we obtain some new optimal DSSs.</description><subject>Codes</subject><subject>Combinatorial analysis</subject><subject>Computational mathematics</subject><subject>Construction</subject><subject>DSS</subject><subject>Joints</subject><subject>Mathematical analysis</subject><subject>Mathematical models</subject><subject>Mathematics</subject><subject>Mathematics and Statistics</subject><subject>Numbers</subject><subject>Optimization</subject><subject>Partitions</subject><subject>Studies</subject><subject>Subgroups</subject><subject>Synchronization</subject><subject>Theorems</subject><subject>决策支持系统</subject><subject>割集</subject><subject>同步连接</subject><subject>差分系统</subject><subject>组合配置</subject><subject>陪集</subject><issn>1439-8516</issn><issn>1439-7617</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2013</creationdate><recordtype>article</recordtype><sourceid>8G5</sourceid><sourceid>BENPR</sourceid><sourceid>GUQSH</sourceid><sourceid>M2O</sourceid><recordid>eNp9kElLA0EQhRtRMC4_wNuIFy-jXb3PUeMKAYXouZmlO05IppOuySH_3g4TRDx4qir4XtWrR8gF0BugVN8iUACRU-A500zl-oCMQPAi1wr04b43EtQxOUGcUyplQdWIyIfWexddV7tsusXeLTELPpu6HrP7El2ThS4bB9zN72Xs274NHZ6RI18u0J3v6yn5fHr8GL_kk7fn1_HdJK85033eeCMq35Q1q4wBz7xXRjaaSlVxnhxRwRoufWWccZxryaQoQNXOG83qNPNTcj3sXcWw3jjs7bLF2i0WZefCBi0oDbKQlLOEXv1B52ETu-TOglAsvZ-wRMFA1TEgRuftKrbLMm4tULsL0g5B2hSk3QVpddKwQYOJ7WYu_tr8j-hyf-grdLN10v1cErrgQgDj32rMfkY</recordid><startdate>20131201</startdate><enddate>20131201</enddate><creator>Zhang, Geng Sheng</creator><creator>Wang, Hong Rui</creator><general>Springer Berlin Heidelberg</general><general>Springer Nature B.V</general><scope>2RA</scope><scope>92L</scope><scope>CQIGP</scope><scope>~WA</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>3V.</scope><scope>7SC</scope><scope>7TB</scope><scope>7WY</scope><scope>7WZ</scope><scope>7XB</scope><scope>87Z</scope><scope>88I</scope><scope>8AL</scope><scope>8FD</scope><scope>8FE</scope><scope>8FG</scope><scope>8FK</scope><scope>8FL</scope><scope>8G5</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>ARAPS</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BEZIV</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>FR3</scope><scope>FRNLG</scope><scope>F~G</scope><scope>GNUQQ</scope><scope>GUQSH</scope><scope>HCIFZ</scope><scope>JQ2</scope><scope>K60</scope><scope>K6~</scope><scope>K7-</scope><scope>KR7</scope><scope>L.-</scope><scope>L6V</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope><scope>M0C</scope><scope>M0N</scope><scope>M2O</scope><scope>M2P</scope><scope>M7S</scope><scope>MBDVC</scope><scope>P5Z</scope><scope>P62</scope><scope>PQBIZ</scope><scope>PQBZA</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PTHSS</scope><scope>Q9U</scope></search><sort><creationdate>20131201</creationdate><title>Difference Systems of Sets Based on Cosets Partitions</title><author>Zhang, Geng Sheng ; 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| ispartof | Acta mathematica Sinica. English series, 2013-12, Vol.29 (12), p.2261-2272 |
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| subjects | Codes Combinatorial analysis Computational mathematics Construction DSS Joints Mathematical analysis Mathematical models Mathematics Mathematics and Statistics Numbers Optimization Partitions Studies Subgroups Synchronization Theorems 决策支持系统 割集 同步连接 差分系统 组合配置 陪集 |
| title | Difference Systems of Sets Based on Cosets Partitions |
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