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20181108 冯荣权 On Linear b-Symbol Perfect Codes over Finite Fields

发布时间:2018-11-05 16:17    浏览次数:    来源:

学术报告题目:On Linear b-Symbol Perfect Codes over Finite Fields

报告人: 冯荣权教授,北京大学

时间地点:2018/11/8 周四上午 10:00-11:00, 数学院425

Abstract: Recently, Cassuto and Blaum introduced codes for symbol-pair read channels and Yaakobi et al. generalized the coding framework to that for b-symbol read channels where b≥2. In this talk, a b-sphere-packing bound will be established. Codes meeting this bound are called perfect b-symbol codes. We study the existence of linear perfect b-symbol e-error-correcting codes over finite fields for e<3b. In particular, we construct a family of linear perfect b-symbol b-error-correcting codes by using constacyclic codes.

 

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