Yazar "Cengellenmis, Yasemin" için listeleme
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APPLICATION OF CONSTACYCLIC CODES OVER THE SEMI LOCAL RING F-pm + vF(pm)
Bag, Tushar; Dertli, Abdullah; Cengellenmis, Yasemin; Upadhyay, Ashish K. (Indian Nat Sci Acad, 2020)In this paper, we study the quantum codes over , which are obtained from (lambda(1) + lambda(2))-constacyclic codes over the semi local ring , where v(2) = 1, p is odd prime. We decompose a (lambda(1) + lambda(2))-constacyclic ... -
CYCLIC AND SKEW CYCLIC CODES OVER THE F-q
Dertli, Abdullah; Cengellenmis, Yasemin (Editura Bibliotheca-Bibliotheca Publ House, 2016)In this paper, we study the structure of cyclic and skew cyclic codes over the finite ring D-k = F-q +v(1)F(q) + ... v(k)F(q), v(i)(2) = v(i), v(i)v(j) = v(j)v(i) = 0, 1 <= i, j <= k, q = p(m), p is a prime for k >= 1 which ... -
A new matrix form to generate all 3 x 3 involutory MDS matrices over F-2(m)
Guzel, Gulsum Gozde; Sakalli, Muharrem Tolga; Akleylek, Sedat; Rijmen, Vincent; Cengellenmis, Yasemin (Elsevier Science Bv, 2019)In this paper, we propose a new matrix form to generate all 3 x 3 involutory and MDS matrices over F-2(m) and prove that the number of all 3 x 3 involutory and MDS matrices over F-2(m) is (2(m) - 1)(2) . (2(m) - 2) . (2(m) ... -
On (1
Dertli, Abdullah; Cengellenmis, Yasemin (European Journal Pure & Applied Mathematics, 2016)It is studied codes over the ring R = F-2 + uF(2) + vF(2) , u(2) = 0, v(2) = v, vu = vu = 0 which contains the two ring F-2 + uF(2), u(2) = 0 and F-2 +vF(2), v(2) = v. It is introduced (1 + u) -cyclic codes and cyclic codes ... -
ON GRAY IMAGES OF CONSTACYCLIC CODES OVER THE FINITE RING F-2 + u(1)F(2) + u(2)F(2)
Ozkan, Mustafa; Dertli, Abdullah; Cengellenmis, Yasemin (Turkic World Mathematical Soc, 2019)We introduce the finite ring F-2 + u(1)F(2) + u(2)F(2), u(1)(2) = u(1), u(2)(2) = 0, u(1).u(2) = u(2).u(1) = 0 which is not a finite chain ring. We focus on (1 + u(2)) -constacyclic codes over F-2 + u(1)F(2) + u(2)F(2) of ... -
On quantum codes obtained from cyclic codes over A(2)
Dertli, Abdullah; Cengellenmis, Yasemin; Eren, Senol (World Scientific Publ Co Pte Ltd, 2015)In this paper, quantum codes from cyclic codes over A(2) = F-2 + uF(2) + vF(2) + uvF(2), u(2) = u, v(2) = v, uv = vu, for arbitrary length n have been constructed. It is shown that if C is self orthogonal over A(2), then ... -
On some constacyclic codes over , their images, and new codes
Aydin, Nuh; Cengellenmis, Yasemin; Dertli, Abdullah (Springer, 2018)In this paper, we study -constacyclic codes over the ring where , for and . Two new Gray maps from R to are defined with the goal of obtaining new linear codes over . The Gray images of -constacyclic codes over R are ... -
On the Codes over a Semilocal Finite Ring
Dertli, Abdullah; Cengellenmis, Yasemin; Eren, Senol (Science & Information Sai Organization Ltd, 2015)In this paper, we study the structure of cyclic, quasi cyclic, constacyclic codes and their skew codes over the finite ring R. The Gray images of cyclic, quasi cyclic, skew cyclic, skew quasi cyclic and skew constacyclic ... -
On the linear codes over the ring R-p
Dertli, Abdullah; Cengellenmis, Yasemin; Eren, Senol (World Scientific Publ Co Pte Ltd, 2016)Some results are generalized on linear codes over Z(3)[v]/< v(3) - v > in [15] to the ring R-p = Z(p)[v]/< v(p) - v >, where p is an odd prime number. The Gray images of cyclic and quasi-cyclic codes over R-p are obtained. ... -
On the Linear Codes Over the Ring Z(4)
Dertli, Abdullah; Cengellenmis, Yasemin (Ankara Univ, Fac Sci, 2019)Some results on linear codes over the ring Z(4) + uZ(4) + vZ(4); u(2) = u, v(2) = v; uv = vu = 0 in [6,7] are generalized to the ring D-t = Z(4) + v(1)Z(4) + ... + v(t)Z(4); v(i)(2) = v(i),v(i)v(j) = v(j)v(i) = 0 for i not ... -
On the Skew Cyclic Codes and the Reversibility Problem for DNA 4-Bases
Cengellenmis, Yasemin; Dertli, Abdullah (Springer Basel Ag, 2020)The DNA 4-bases are matched with the 256 elements of the finite ring R=F4+uF4+vF4+uvFR=F_{4}+uF_{4}+vF_{4}+uvF_{4}$$\end{document}, where u2=u,v2=v,uv=vu. By defining a non trivial automorphism over R, the skew cyclic codes ... -
Quantum Codes Obtained from Some Constacyclic Codes Over a Family of Finite Rings F-p+uF(p)+vF(p)
Dertli, Abdullah; Cengellenmis, Yasemin (Springer Basel Ag, 2020)In this paper, we study the quantum codes over Fp, p is an odd prime, obtained from some constacyclic codes over the finite ring Fp+uFp+vFp, where u2=u,v2=v,uv=vu=0. A constacyclic code over the finite ring Fp+uFp+vFp is ... -
Skew Constacyclic Codes Over the Local Frobenius Non-Chain Rings of Order 16
Aydin, Nuh; Cengellenmis, Yasemin; Dertli, Abdullah; Dougherty, Steven T.; Salturk, Esengul (Amer Inst Mathematical Sciences-Aims, 2020)We introduce skew constacyclic codes over the local Frobenius non-chain rings of order 16 by defining non-trivial automorphisms on these rings. We study the Gray images of these codes, obtaining a number of binary and ... -
SKEW CYCLIC CODES OVER Fq
Dertli, Abdullah; Cengellenmis, Yasemin (Editura Bibliotheca-Bibliotheca Publ House, 2017)In this paper, the skew cyclic codes over the ring R = F-q + uF(q) + vF(q) + uvF(q), where u(2) = 1, v(2) = 1, uv = vu, q = pm, p is an odd prime are studied. The structural properties of them are investigated. -
Some Constacyclic Codes over Z(4)[u]/< u(2)>, New Gray Maps, and New Quaternary Codes
Cengellenmis, Yasemin; Dertli, Abdullah; Aydin, Nuh (World Scientific Publ Co Pte Ltd, 2018)this paper, we study lambda-constacyclic codes over the ring R = Z(4) + uZ(4), where u(2) = 0, for lambda = 1 + 3u and 3 + u. We introduce two new Gray maps from R to Z(4)(4) and show that the Gray images of lambda-constacyclic ... -
SOME RESULTS ON LINEAR CODES OVER THE FINITE RING Z(4)+ uZ(4)
Dertli, Abdullah; Cengellenmis, Yasemin (Editura Bibliotheca-Bibliotheca Publ House, 2016)In this paper, the MacWilliams identities for the linear codes over D = Z(4)+ uZ(4) + vZ(4), u(2) = u,v(2) = v,uv = vu = 0 are studied and some properties of MDS codes over D are discussed. -
Some results on the linear codes over the finite ring F-2 + v(1)F(2) + ... + v(r)F(2)
Dertli, Abdullah; Cengellenmis, Yasemin; Eren, Senol (World Scientific Publ Co Pte Ltd, 2016)In this paper, we study the structure of cyclic, quasi-cyclic codes and their skew codes over the finite ring B-r = F-2 + v(1)F(2) + ... + v(r)F(2), v(i)(2) + v(i), v(i)v(j) = v(j)v(i) 0, 1 <= i, j <= r for r >= 1. The ...
