Quantum codes from cyclic codes over F3 + μF3 + υF3 + μυ F3
نویسندگان
چکیده
منابع مشابه
Classification of Self-Orthogonal Codes over F3 and F4
Several methods for classifying self-orthogonal codes up to equivalence are presented. These methods are used to classify self-orthogonal codes with largest possible minimum distance over the fields F3 and F4 for lengths n ≤ 29 and small dimensions (up to 6). Some properties of the classified codes are also presented. In particular, an extensive collection of quantum error-correcting codes is o...
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Cyclic codes have efficient encoding and decoding algorithms. The decoding error probability and the undetected error probability are usually bounded by or given from the weight distributions of the codes. Most researches are about the determination of the weight distributions of cyclic codes with few nonzeros, by using quadratic form and exponential sum but limited to low moments. In this pape...
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متن کاملOn Skew Cyclic Codes over a Finite Ring
In this paper, we classify the skew cyclic codes over Fp + vF_p + v^2F_p, where p is a prime number and v^3 = v. Each skew cyclic code is a F_p+vF_p+v^2F_p-submodule of the (F_p+vF_p+v^2F_p)[x;alpha], where v^3 = v and alpha(v) = -v. Also, we give an explicit forms for the generator of these codes. Moreover, an algorithm of encoding and decoding for these codes is presented.
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ژورنال
عنوان ژورنال: Journal of Physics: Conference Series
سال: 2016
ISSN: 1742-6588,1742-6596
DOI: 10.1088/1742-6596/766/1/012020