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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.
Javier De La Cruz, Wolfgang Willems
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Group Code Equivalence and Optimum Codes
IRE Transactions on Circuit Theory, 1959This paper describes a search for optimum group codes using the IBM 704 computer. Some theory of the relation. ship between equivalent codes used in narrowing the search is described, and the method of searching is outlined. The newly found optimum codes are listed, along with a number of counter-examples to typical conjectures on binary group codes.
A. Fontaine, W. Peterson
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