Patrick Sole教授学术报告


报告题目:Type IV Codes over non unitary rings

报告人:Patrick Sole教授(法国马赛大学)


报告地点:腾讯会议 ID883 311 940

报告摘要:There are exactly 11 rings of order 4; four of which are unital by Rhagavandran(1969). Among the remaining seven we select three as alphabets for our codes: E,I,H. We study quasi self-dual codes and Type IV codes over these rings, two special kinds of self-orthogonal codes. E is non-commutative and local, and leads to invariant theory of weight enumerators. It is commutative local and leads to a mass formula. H is commutative semi-local and allows classification under permutation equivalence. The build up construction is studied over E,I, and H. Joint works with Adel Alahmadi, Amani Alkhatiry, Alaa Altassan, Widyan Bassafar, Alexis Bonnecaze, Hatoon Shoaib.