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Patrick Sole教授學術報告


報告題目:Type IV Codes over non unitary rings

報告人:Patrick Sole教授(法國馬賽大學)


報告地點:騰訊會議 ID883 311 940

報告摘要: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.