Concepedia

Good self-dual quasi-cyclic codes exist

San Ling, Patrick Solé

IEEE Transactions on Information Theory · 2003 · 79 citations · 6 references

DOIFull text

Open access

Concepts

Abstract

We show that there are long binary quasi-cyclic self-dual (either Type I or Type II) codes satisfying the Gilbert-Varshamov bound.

References

6

Coset codes. II. Binary lattices and related codes

G. David Forney · IEEE Transactions on Information Theory · 1988 · 659 citations

, , +11

Self-Dual Codes

Eric M. Rains, N. J. A. Sloane · arXiv (Cornell University) · 2002 · 266 citations · Full text

, , +14

On the algebraic structure of quasi-cyclic codes .I. Finite fields

San Ling, Patrick Solé · IEEE Transactions on Information Theory · 2001 · 258 citations · Full text

, , +15

A Gilbert-Varshamov bound for quasi-cycle codes of rate 1/2 (Corresp.)

Tadao Kasami · IEEE Transactions on Information Theory · 1974 · 143 citations

, , +10

Good self dual codes exist

F. MacWilliams, N. J. A. Sloane, J. G. Thompson · Discrete Mathematics · 1972 · 143 citations

, , +6