منابع مشابه
Type II Codes over
Type II 4-codes are introduced as self-dual codes over the integers modulo 4 containing the all-one vector and with Euclidean weights multiple of 8. Their weight enumerators are characterized by means of invariant theory. A notion of extremality for the Euclidean weight is introduced. Their binary images under the Gray map are formally self-dual with even weights. Extended quadratic residue 4-c...
متن کاملType II codes over Z4
Type II Z 4-codes are introduced as self-dual codes over the integers modulo 4 containing the all-one vector and with euclidean weights multiple of 8: Their weight enumerators are characterized by means of invariant theory. A notion of extremality for the euclidean weight is introduced. Their binary images under the Gray map are formally self-dual with even weights. Extended quadratic residue Z...
متن کاملJacobi Polynomials, Type II Codes, and Designs
Jacobi polynomials were introduced by Ozeki in analogy with Jacobi forms of lattices They are useful for coset weight enumeration and weight enumeration of children We determine them in most interesting cases in length at most and in some cases in length We use them to construct group divisible designs packing designs covering designs and t r designs in the sense of Calderbank Delsarte A major ...
متن کاملNonexistence for extremal Type II Z2k-Codes
In this paper, we show that an extremal Type II Z2k-code of length n dose not exist for all sufficiently large n when k = 2, 3, 4, 5, 6.
متن کاملType II Codes over F 2 + uF
We define Type II codes over R = F2+uF2+uF2+uF2+....+uF2, m = 2k, k ∈ N .It is examined the existense of self dual code over R and we have the Gray images of the Type II codes over R. Mathematics Subject Classificition: 94B05
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ژورنال
عنوان ژورنال: European Journal of Combinatorics
سال: 2001
ISSN: 0195-6698
DOI: 10.1006/eujc.2001.0509