نتایج جستجو برای: 2 d skew constacyclic codes

تعداد نتایج: 2960047  

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.

Journal: :Journal of Applied Sciences 2013

Journal: :Finite Fields and Their Applications 2016

Journal: :Finite Fields and Their Applications 2015

Journal: :IEEE Trans. Information Theory 2000
Mario Blaum Jehoshua Bruck

We provide a new definition for the concept of skew in parallel asynchronous communications introduced in [2]. The new definition extends and strengthens previously known results on skew. We give necessary and sufficient conditions for codes that can tolerate a certain amount of skew under the new definition. We also extend the results to codes that can tolerate a certain amount of skew and det...

Journal: :CoRR 2009
Hakan Özadam Ferruh Özbudak

We study constacyclic codes, of length np and 2np, that are generated by the polynomials (x+γ) and (x−ξ)(x+ξ) respectively, where x+γ, x−ξ and x+ξ are irreducible over the alphabet Fpa . We generalize the results of [5], [6] and [7] by computing the minimum Hamming distance of these codes. As a particular case, we determine the minimum Hamming distance of cyclic and negacyclic codes, of length ...

Journal: :Advances in Mathematics of Communications 2016

Journal: :Applicable Algebra in Engineering, Communication and Computing 2007

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