The fine structures of three idempotent Latin squares with small orders

摘要：

Latin squares have wide application in communica-tion and cipher. Denote by IdFin(v) the set of all integer pairs (t, s) for which there exist three idempotent Latin squares of order v on the same set having fine structure (t, s). We obtain that (6, 17), (4, 18)∈IdFin(7), which gives some new examples (6, 17), (4, 18)∈Fin(7). We prove that (t, 16).IdFin(v) with 0≤t≤3 for order v with 8≤v≤11, and determine the set IdFin(11).

关键词： Latin square idempotent Latin square fine structure Latin trade

作者: Chuanqi Li Size Li

作者单位: Department of Mathematics Beijing Jiaotong University Beijing 100044, P.R. China State Key Laboratory of Rail Traffic Control and Safety, and Dept. of Math.Beijing Jiaotong Universi

会议类型: 国际会议

会议名称: 2011 the Iet 4th International Conference on Wireless,Mobile & Multimedia Networks(第四届无线、移动及多媒体网络国际会议 ICWMMN2011)

会议地点: 北京

会议语种:英文

页码: 360-363

在线出版日期: 2011-11-27（万方平台首次上网日期，不代表论文的发表时间）