Journal of Combinatorial Theory Series A
Multipliers and generalized multipliers of cyclic objects and cyclic codes
Journal of Combinatorial Theory Series A
Cyclic codes and quadratic residue codes over Z4
IEEE Transactions on Information Theory
IEEE Transactions on Information Theory
A new upper bound on the minimal distance of self-dual codes
IEEE Transactions on Information Theory
Generalizations of Gleason's theorem on weight enumerators of self-dual codes
IEEE Transactions on Information Theory
The children of the (32, 16) doubly even codes
IEEE Transactions on Information Theory
The weight distributions of some minimal cyclic codes (Corresp.)
IEEE Transactions on Information Theory
IEEE Transactions on Information Theory
IEEE Transactions on Information Theory
Quaternary quadratic residue codes and unimodular lattices
IEEE Transactions on Information Theory
New Extremal Type II Codes Over Z_4
Designs, Codes and Cryptography
Type II Self-Dual Codes over Finite Rings and Even Unimodular Lattices
Journal of Algebraic Combinatorics: An International Journal
Affine Invariant and Cyclic Codes over p-adic Numbers and Finite Rings
Designs, Codes and Cryptography
Construction of Extremal Type II Codes over \mbox{\zZ}_4
Designs, Codes and Cryptography
Construction of MDS self-dual codes over Galois rings
Designs, Codes and Cryptography
Construction of self-dual codes over finite rings Zpm
Journal of Combinatorial Theory Series A
On the Quasi-cyclicity of the Gray Map Image of a Class of Codes over Galois Rings
ICMCTA '08 Proceedings of the 2nd international Castle meeting on Coding Theory and Applications
ISIT'09 Proceedings of the 2009 IEEE international conference on Symposium on Information Theory - Volume 3
Some results on cyclic codes over F2 + ΥF2
IEEE Transactions on Information Theory
Some families of Z4-cyclic codes
Finite Fields and Their Applications
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Fornodd, theZ"4cyclic code generated by 2 is self-dual. We call this a trivial cyclic self-dual code. When do there exist nontrivial cyclic self-dual codes of odd lengthn? We give an answer in this paper by characterizing thesenand describing generators of such codes; this yields an existence test for cyclic difference sets. We also give all examples of nontrivial cyclic self-dual codes up to length 39. From these nontrivial cyclic, self-dual codes, construction A yields unimodular lattices of Type I, some of which are extremal; extension and augmentation yields three new extremal Type II codes of length 32, and an extremal self-dual code of Type II of length 40.