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.