Twisted Group Codes

IEEE Transactions on Information Theory(2021)

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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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