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New Optimal Self-Dual Codes over GF(7)

โœ Scribed by T. Aaron Gulliver; Masaaki Harada

Publisher
Springer Japan
Year
1999
Tongue
English
Weight
113 KB
Volume
15
Category
Article
ISSN
0911-0119

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A central problem in coding theory is that of finding the smallest length for which there exists a linear code of dimension k and minimum distance d, over a field of ~7 elements, We consider here the problem for quaternary codes (q=4), solving the problem for k< 3 for all values of d, and for k=4 fo

Bounds for Self-Dual Codes Over Z4
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New bounds are given for the minimal Hamming and Lee weights of self-dual codes over 9 . For a self-dual code of length n, the Hamming weight is bounded above by 4[n/24]#f (n mod 24), for an explicitly given function f; the Lee weight is bounded above by 8[n/24]#g(n mod 24), for a di!erent function