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
โฆ LIBER โฆ
Optimal self-dual codes over Z4
โ Scribed by Eric Rains
- Book ID
- 108316318
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 338 KB
- Volume
- 203
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
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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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