Concepedia

Extremal self-dual codes with an automorphism of order 2

Stefka Buyuklieva, N. Boukliev

IEEE Transactions on Information Theory · 1998 · 51 citations · 13 references

DOI

Concepts

Abstract

A method to design binary self-dual codes with an automorphism of order two without fixed points is presented. Extremal self-dual codes with lengths 40, 42, 44, 54, 58, 68 are constructed. Many of them have weight enumerators for which extremal codes were previously not known to exist.

References

13

A new upper bound on the minimal distance of self-dual codes

John H. Conway, N. J. A. Sloane · IEEE Transactions on Information Theory · 1990 · 359 citations

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Weight enumerators of self-dual codes

Richard A. Brualdi, Vera Pless · IEEE Transactions on Information Theory · 1991 · 89 citations

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Classification of extremal double-circulant self-dual codes of length up to 62

Masaaki Harada, T. Aaron Gulliver, Hitoshi Kaneta · Discrete Mathematics · 1998 · 71 citations

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Existence of certain extremal self-dual codes

Han-Ping Tsai · IEEE Transactions on Information Theory · 1992 · 33 citations · Full text

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On Extremal Self-dual Codes

Masaaki Harada, Hiroshi Kimura · Institutional Repositories DataBase (IRDB) · 1995 · 31 citations · Full text

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