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pro vyhledávání: '"Siap, Irfan"'
Akademický článek
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In this paper we study the structure of specific linear codes called DNA codes. The first attempts on studying such codes have been proposed over four element rings which are naturally matched with DNA four letters. Later, double (pair) DNA strings o
Externí odkaz:
http://arxiv.org/abs/1703.10189
In this study we determine the structure of reversible DNA codes obtained from skew cyclic codes. We show that the generators of such DNA codes enjoy some special properties. We study the structural properties of such family of codes and we also illu
Externí odkaz:
http://arxiv.org/abs/1703.10185
Publikováno v:
Arab. J. Math. (2017)
In this work, we study cyclic codes that have generators as Fibonacci polynomials over finite fields. We show that these cyclic codes in most cases produce families of maximum distance separable and optimal codes with interesting properties. We explo
Externí odkaz:
http://arxiv.org/abs/1611.08120
Akademický článek
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Publikováno v:
Finite Fileds and Their Applications Volume 35 2015
In this work, quadratic double and quadratic bordered double circulant constructions are applied to F_4 + uF_4 as well as F_4, as a result of which extremal binary self-dual codes of length 56 and 64 are obtained. The binary extension theorems as wel
Externí odkaz:
http://arxiv.org/abs/1405.7147
Publikováno v:
Finite Fileds and Their Applications Volume 29 2014
In this work, quadratic reside codes over the ring F2 +uF2 +u^2F2 with u^3 = u are considered. A duality and distance preserving Gray map from F2 + uF2 + u^2F2 to (F_2)^3 is defined. By using quadratic double circulant, quadratic bordered double circ
Externí odkaz:
http://arxiv.org/abs/1308.0580
Publikováno v:
Journal of Pure and Applied Algebra Volume 218 Issue 11 2014
In this paper quadratic residue codes over the ring Fp + vFp are introduced in terms of their idempotent generators. The structure of these codes is studied and it is observed that these codes share similar properties with quadratic residue codes ove
Externí odkaz:
http://arxiv.org/abs/1305.4508
Autor:
Siap, Irfan, Aydogdu, Ismail
In this paper, we count the number of matrices whose rows generate different $\mathbb{Z}_2\mathbb{Z}_8$ additive codes. This is a natural generalization of the well known Gaussian numbers that count the number of matrices whose rows generate vector s
Externí odkaz:
http://arxiv.org/abs/1303.6985
In this paper we study a special type of quasi-cyclic (QC) codes called skew QC codes. This set of codes is constructed using a non-commutative ring called the skew polynomial rings $F[x;\theta ]$. After a brief description of the skew polynomial rin
Externí odkaz:
http://arxiv.org/abs/0809.2315