Sphere-packings, lattices, and groups
Sphere-packings, lattices, and groups
Self-orthogonal designs and extremal doubly even codes
Journal of Combinatorial Theory Series A
Self-dual codes over the integers modulo 4
Journal of Combinatorial Theory Series A
New Extremal Type II Codes Over Z_4
Designs, Codes and Cryptography
On the existence of extremal Type II codes over Z6
Discrete Mathematics
Orthogonal frames in the Leech lattice and a type II code over Z22
Journal of Combinatorial Theory Series A
Designs, Graphs, Codes, and Their Links
Designs, Graphs, Codes, and Their Links
Construction of Extremal Type II Codes over \mbox{\zZ}_4
Designs, Codes and Cryptography
Type II codes, even unimodular lattices, and invariant rings
IEEE Transactions on Information Theory
On self-dual codes over some prime fields
Discrete Mathematics
Z6-code constructions of the Leech lattice and the Niemeier lattices
European Journal of Combinatorics
Self-Orthogonal and Self-Dual Codes Constructed via Combinatorial Designs and Diophantine Equations
Designs, Codes and Cryptography
MDS Self-Dual Codes over Large Prime Fields
Finite Fields and Their Applications
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Symmetric designs are used to construct binary extremal self-dual codes and Hadamard matrices and weighing matrices are used to construct extremal ternary self-dual codes. In this paper, we consider orthogonal designs and related matrices to construct self-dual codes over a larger alphabet. As an example, a number of extremal Type II codes over \Bbb{Z}_{2k} are constructed.