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arxiv: math/0208001 · v1 · submitted 2002-08-01 · 🧮 math.CO · cs.IT· math.IT

Self-Dual Codes

classification 🧮 math.CO cs.ITmath.IT
keywords codesself-dualtheorybecausebestbibliographyboundscomprehensive
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Self-dual codes are important because many of the best codes known are of this type and they have a rich mathematical theory. Topics covered in this survey include codes over F_2, F_3, F_4, F_q, Z_4, Z_m, shadow codes, weight enumerators, Gleason-Pierce theorem, invariant theory, Gleason theorems, bounds, mass formulae, enumeration, extremal codes, open problems. There is a comprehensive bibliography.

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