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Self-dual codes over the Kleinian four group

✍ Scribed by Gerald Höhn


Publisher
Springer
Year
2003
Tongue
English
Weight
274 KB
Volume
327
Category
Article
ISSN
0025-5831

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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

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Combinatorial designs have been used widely in the construction of self-dual codes. Recently a new method of constructing self-dual codes was established using orthogonal designs. This method has led to the construction of many new self-dual codes over small "nite "elds and rings. In this paper, we