报告地点:行健楼学术活动室665
邀请人:周海燕教授
摘要:Self-dual codes have been studied actively because they are connected with mathematical structures including block designs and lattices and have practical applications in quantum error-correcting codes and secret sharing schemes. The main purpose of this talk is to propose a way to expand any self-orthogonal code over a ring $Z_4$ to many self-dual codes over $Z_4$. We have found new self-dual codes over $Z_4$ of lengths 27, 28, 29, 33, and 34 with the highest Euclidean weight 12. This is a joint work with Minjia Shi, Sihui Tao, and Jihoon Hong.