Title :
Singly Even Self-Dual Codes With Minimal Shadow
Author :
Bouyuklieva, Stefka ; Willems, Wolfgang
Author_Institution :
Fak. fur Math., Otto-von-Guericke Univ., Magdeburg, Germany
fDate :
6/1/2012 12:00:00 AM
Abstract :
In this paper, extremal singly even self-dual codes with minimal shadow are investigated. Nonexistence of such codes for particular parameters is proved. By a result of Rains, the length of extremal singly even self-dual codes is bounded. Explicit bounds are given in case the shadow is minimal.
Keywords :
dual codes; explicit bounds; extremal singly even self-dual codes; minimal shadow; rains; Cryptography; Polynomials; Rain; Upper bound; Vectors; Bounds for codes; minimal shadow; self-dual codes; singly even codes;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2012.2183114
