Journal of Combinatorial Theory Series A
IEEE Transactions on Information Theory
Classification of extremal double-circulant self-dual codes of lengths up to 62
Discrete Mathematics
Quadratic double circulant codes over fields
Journal of Combinatorial Theory Series A
Weight enumerators of extremal singly-even [60,30,12] codes
IEEE Transactions on Information Theory
Characterization of quaternary extremal codes of lengths 18 and 20
IEEE Transactions on Information Theory
Extremal binary self-dual codes
IEEE Transactions on Information Theory
Construction of an extremal self-dual code of length 62
IEEE Transactions on Information Theory
Optimal double circulant self-dual codes over F4
IEEE Transactions on Information Theory
On extremal self-dual quaternary codes of lengths 18 to 28. I
IEEE Transactions on Information Theory
New self-dual codes over GF(4) with the highest known minimum weights
IEEE Transactions on Information Theory
A new upper bound on the minimal distance of self-dual codes
IEEE Transactions on Information Theory
New binary coding results by circulants
IEEE Transactions on Information Theory
Generalized quadratic residue codes
IEEE Transactions on Information Theory
Self-dual codes over and of length not exceeding 16
IEEE Transactions on Information Theory
Ternary codes of minimum weight 6 and the classification of the self-dual codes of length 20
IEEE Transactions on Information Theory
On ternary self-dual codes of length 24
IEEE Transactions on Information Theory
A note on extended quadratic residue codes over and their ternary images (Corresp.)
IEEE Transactions on Information Theory
IEEE Transactions on Information Theory
A systematic construction of self-dual codes
IEEE Transactions on Information Theory
On extremal self-dual quaternary codes of lengths 18 to 28. II
IEEE Transactions on Information Theory
On extremal self-dual ternary codes of lengths 28 to 40
IEEE Transactions on Information Theory
The Existence of a Self-Dual [70, 35, 12] Code and Formally Self-Dual Codes
Finite Fields and Their Applications
Finite Fields and Their Applications
Designs and self-dual codes with long shadows
Journal of Combinatorial Theory Series A
Construction of new extremal unimodular lattices
European Journal of Combinatorics - Special issue on arithmétique et combinatoire
On self-dual codes over $${\mathbb{F}}_5$$
Designs, Codes and Cryptography
Binary self-dual codes with automorphisms of order 23
Designs, Codes and Cryptography
Discrete Applied Mathematics
On circulant self-dual codes over small fields
Designs, Codes and Cryptography
Self-dual Codes over Small Prime Fields from Combinatorial Designs
CAI '09 Proceedings of the 3rd International Conference on Algebraic Informatics
Construction of cubic self-dual codes
ISIT'09 Proceedings of the 2009 IEEE international conference on Symposium on Information Theory - Volume 4
New binary singly even self-dual codes
IEEE Transactions on Information Theory
On the classification and enumeration of self-dual codes
Finite Fields and Their Applications
Self-dual codes from circulant matrices
Designs, Codes and Cryptography
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We give a general experimental method generalizing the codes of Carlach and Vervoux (Proceedings of the 13th Applicable Algebra in Engineering Communication and Computing (AAECC 13), Hawaii, USA, 14-19 November 1999, p. 15) to construct self-dual codes. We consider the particular fields GF(2), GF(3), GF(4) (both Euclidean and Hermitian cases), GF(5) and GF(7). We give numerical tables of the best known self-dual codes over these alphabets up to lengths where minimum distances are computable. These tables regularly fill gaps between known codes with good parameters such as the quadratic residue codes, the Pless symmetry codes (J. Combin. Theory Ser. A A12 (1972) 119) or the quadratic double circulant codes (J. Combin. Theory Ser. A 97 (2002) 85). Many new codes with better parameters are constructed: in particular the first extremal ternary self-dual [52,26,15] and [78,39,18] codes and the first binary self-dual [114,57,18] and [116,58,18] codes are constructed. We also give the minimum weight of the Pless symmetry codes of length 84. We also update tables for quadratic residue codes over GF(4),GF(5) and GF(7) and we obtain in particular a [62,31,20] code over GF(5).