Sphere-packings, lattices, and groups
Sphere-packings, lattices, and groups
The binary self-dual codes of length up to 32: a revised enumeration
Journal of Combinatorial Theory Series A
Self-dual codes over the integers modulo 4
Journal of Combinatorial Theory Series A
Double Circulant Codes over Z\!Z_{\bf 4}and Even Unimodular Lattices
Journal of Algebraic Combinatorics: An International Journal
All Z4 codes of type II and length 16 are known
Journal of Combinatorial Theory Series A
New Extremal Type II Codes Over Z_4
Designs, Codes and Cryptography
Designs, Graphs, Codes, and Their Links
Designs, Graphs, Codes, and Their Links
Cyclic codes over Z4, locator polynomials, and Newton's identities
IEEE Transactions on Information Theory
Mass formulas for self-dual codes over Z4 and Fq+uFq rings
IEEE Transactions on Information Theory
IEEE Transactions on Information Theory
All self-dual Z4 codes of length 15 or less are known
IEEE Transactions on Information Theory
Decompositions and extremal type II codes over Z4
IEEE Transactions on Information Theory
Quaternary quadratic residue codes and unimodular lattices
IEEE Transactions on Information Theory
Finite Fields and Their Applications
Orthogonal Designs and Type II Codes over \Bbb{Z}_{2k}
Designs, Codes and Cryptography
On the classification and enumeration of self-dual codes
Finite Fields and Their Applications
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In this paper, we givea pseudo-random method to construct extremal Type II codes over\ZZ_4. As an application, we give a number of newextremal Type II codes of lengths 24, 32 and 40, constructedfrom some extremal doubly-even self-dual binary codes. The extremalType II codes of length 24 have the property that the supportsof the codewords of Hamming weight 10 form 5-(24,10,36) designs. It is also shown that everyextremal doubly-even self-dual binary code of length 32can be considered as the residual code of an extremal Type IIcode over \ZZ_4.