Title :
Self-dual group codes
Author :
Willems, Wolfgang
Author_Institution :
Inst. fur Algebra und Geometrie, Otto-von-Guericke Univ., Magdeburg, Germany
Abstract :
A group code is an ideal in a suitable group algebra. Cyclic codes, Reed-Muller codes, the binary extended Golay code and many other remarkable codes are group codes. In this paper we answer the following question: Under what conditions do exist self-dual group codes over Galois rings?.
Keywords :
Galois fields; Golay codes; Reed-Muller codes; binary codes; cyclic codes; dual codes; group codes; linear codes; Galois rings; Reed-Muller codes; binary extended Golay code; cyclic codes; group algebra; group code; linear code; self-dual codes; Algebra; Galois fields; Linear code; Modules (abstract algebra); Polynomials; Roentgenium;
Conference_Titel :
Information Theory, 2002. Proceedings. 2002 IEEE International Symposium on
Print_ISBN :
0-7803-7501-7
DOI :
10.1109/ISIT.2002.1023732
