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 کاملFormally self-dual additive codes over F4
We introduce a class of formally self-dual additive codes over F4 as a natural analogue of binary formally self-dual codes, which is missing in the study of additive codes over F4. We define extremal formally self-dual additive codes over F4 and classify all such codes. Interestingly, we find exactly three formally self-dual additive (7, 27) odd codes over F4 with minimum distance d = 4, a bett...
متن کاملNew extremal binary self-dual codes from F4+uF4-lifts of quadratic circulant codes over F4
In this work, quadratic double and quadratic bordered double circulant constructions are applied to F4 + uF4 as well as F4, as a result of which extremal binary self-dual codes of length 56 and 64 are obtained. The binary extension theorems as well as the ring extension version are used to obtain 7 extremal self-dual binary codes of length 58, 24 extremal self-dual binary codes of length 66 and...
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: Finite Fields and Their Applications
سال: 2002
ISSN: 1071-5797
DOI: 10.1006/ffta.2001.0333