
G.Gözde YılmazgüçTrakya University · Department of computer engineering
G.Gözde Yılmazgüç
Doctor of Philosophy
About
10
Publications
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Introduction
G.Gözde YILMAZGÜÇ currently works at the Department of mathematics, Trakya University. G.Gözde does research in Algebra.
Additional affiliations
July 2013 - present
Education
February 2014 - January 2019
September 2008 - June 2011
Publications
Publications (10)
This paper studies Abelian and consta-Abelian polyadic codes over rings defined as affine algebras over chain rings. For this purpose, we use the classical construction via splittings and multipliers of the underlying Abelian group. We also derive some results on the structure of the associated polyadic codes and the number of codes under these con...
This article presents a new hybrid method (combining search based methods and direct construction methods) to generate all $4 \times 4$ involutory maximum distance separable (MDS) matrices over $\mathbf{F}_{2^m}$. The proposed method reduces the search space complexity at the level of $$\sqrt n $$, where n represents the number of all $4 \times 4$...
In this paper, we define Abelian and consta-Abelian polyadic codes over rings defined as affine algebras over chain rings. For that aim, we use the classical construction via splittings and multipliers of the underlying Abelian group. We also derive some results on the structure of the associated polyadic codes and the number of codes under these c...
This paper provides the Generalized Mattson Solomon polynomial for repeated-root polycyclic codes over local rings that gives an explicit decomposition of them in terms of idempotents that completes the single root study. It also states some structural properties of repeated-root polycyclic codes over finite fields in terms of matrix product codes....
In this article, some features of a structure called mixed topological groups which is also a topological group and established with two topological groups are examined. While the compatibility of a defined topology and group structure on any group can be given with the definition of classical topological group, it can be seen whether the topology...
In this paper a new finite ring is introduced along with its algebraic properties. In addition, a new Gray map is defined on the ring. The Gray images of both the cyclic and the \((1+u^{2}+u^{3})\)-constacyclic codes over the finite ring are found to be permutation equivalent to binary quasicyclic codes.
In this paper, a new finite ring is introduced with its algebraic properties
and a new Gray map is defined on the ring. It is obtained that the Gray images of
both the cyclic and the (1+u^2 +u^3)- constacyclic codes over the finite ring are permutation equivalent to binary quasicyclic codes.
In this paper, we propose a new matrix form to generate all 3×3 involutory and MDS matrices over F 2 m and prove that the number of all 3×3 involutory and MDS matrices over F 2 m is (2 m −1) ² ⋅(2 m −2)⋅(2 m −4), where m>2. Moreover, we give 3×3 involutory and MDS matrices over F 2 3 , F 2 4 and F 2 8 defined by the irreducible polynomials x ³ +x+1...
In this paper, a new class of finite rings is given. It is shown that the rings in the class are
semilocal, principally ideal and Frobenious rings. It is studied the units and the ideals of these rings. It is introduced a Gray map on them. The Gray images of both cyclic and (1 + u)- constacyclic codes over the class of finite rings are obtained.