Twisted Group Codes
IEEE Transactions on Information Theory(2021)
摘要
We investigate right ideals as codes in twisted group algebras. Such codes are called twisted group codes. It turns out that many interesting codes belong to this class; for instance, the ternary extended Golay code, Hamming codes and constacyclic codes. In particular we characterize all linear codes which are twisted group codes in terms of their automorphism group.
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关键词
Algebra,Linear codes,Symmetric matrices,Standards,Kernel,Encoding
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