The structure of one weight linear and cyclic codes over Z_{2}^r x (Z_{2} + uZ_{2})^s
نویسندگان
چکیده
منابع مشابه
The Structure of One Weight Linear and Cyclic Codes Over Z2^r x (Z2+uZ2)^s
Inspired by the Z2Z4-additive codes, linear codes over Z r 2×(Z2 + uZ2) s have been introduced by Aydogdu et al. more recently. Although these family of codes are similar to each other, linear codes over Zr2×(Z2 + uZ2) s have some advantages compared to Z2Z4-additive codes. A code is called constant weight(one weight) if all the codewords have the same weight. It is well known that constant wei...
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15 صفحه اولOn the Kernel of \mathbb Z_2^s -Linear Hadamard Codes
The Z2s -additive codes are subgroups of Z n 2s , and can be seen as a generalization of linear codes over Z2 and Z4. A Z2s -linear Hadamard code is a binary Hadamard code which is the Gray map image of a Z2s additive code. It is known that the dimension of the kernel can be used to give a complete classification of the Z4-linear Hadamard codes. In this paper, the kernel of Z2s -linear Hadamard...
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ژورنال
عنوان ژورنال: An International Journal of Optimization and Control: Theories & Applications (IJOCTA)
سال: 2017
ISSN: 2146-5703,2146-0957
DOI: 10.11121/ijocta.01.2018.00512