Some new extremal self-dual codes with lengths 42, 44, 52, and 58
نویسندگان
چکیده
منابع مشابه
New Binary Extremal Self-dual Codes of Lengths 50 and 52
New extremal binary self-dual codes of lengths 50 and 52 are constructed. Some of them are the first known codes with such weight enumerators. The structure of their automorphisms groups are shown.
متن کاملNew extremal self-dual codes of lengths 36 and 38
There are two distinct weight enumerators for extremal singly-even self-dual [36; 18; 8] codes. For each weight enumerator, only one extremal self-dual code is previously known. In this correspondence, we construct several new extremal singly-even self-dual [36; 18; 8] codes for each weight enumerator. We also construct a number of new extremal singly-even self-dual [38; 19; 8] codes.
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In this work, four circulant and quadratic double circulant (QDC) constructions are applied to the family of the rings R k,m. Self-dual binary codes are obtained as the Gray images of self-dual QDC codes over R k,m. Extremal binary self-dual codes of length 64 are obtained as Gray images of λ-four circulant codes over R 2,1 and R 2,2. Extremal binary self-dual codes of lengths 66 and 68 are con...
متن کاملNew extremal self-dual codes of length 62 and related extremal self-dual codes
In this correspondence, new extremal self-dual codes of length 62 are constructed with weight enumerators of three different types. Two of these types were not represented by any known code up till now. All these codes possess an automorphism of order 15. Some of them are used to construct extremal self-dual codes of length 60 by the method of subtracting. Manuscript received November 20, 2001;...
متن کاملNew extremal ternary self-dual codes
Compared to binary self-dual codes, few methods are known to construct ternary self-dual codes. In this paper, a construction method for ternary self-dual codes is presented. Using this method, a number of new extremal ternary self-dual codes are obtained from weighing matrices. In addition, a classification is given for extremal ternary self-dual codes of length 40 constructed from Hadamard ma...
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ژورنال
عنوان ژورنال: Discrete Mathematics
سال: 2001
ISSN: 0012-365X
DOI: 10.1016/s0012-365x(00)00420-9