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Optimal self-dual codes over Z4

โœ Scribed by Eric Rains


Book ID
108316318
Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
338 KB
Volume
203
Category
Article
ISSN
0012-365X

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๐Ÿ“œ SIMILAR VOLUMES


Bounds for Self-Dual Codes Over Z4
โœ Eric Rains ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 137 KB

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

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The notion of a shadow of a self-dual binary code is generalized to self-dual codes over 9 . A Gleason formula for the symmetrized weight enumerator of the shadow of a Type I code is derived. Congruence properties of the weights follow; this yields constructions of self-dual codes of larger lengths

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