Browsing Fen-Edebiyat Fakültesi by Author "Özen, Mehmet"

Now showing items 1-8 of 8

AN IDENTITY BETWEEN THE m-SPOTTY ROSENBLOOM-TSFASMAN WEIGHT ENUMERATORS OVER FINITE COMMUTATIVE FROBENIUS RINGS

Özen, Mehmet; Minjia Shi; Vedat Siap (KOREAN MATHEMATICAL SOC, 2015)

This paper is devoted to presenting a MacWilliams type identity for m-spotty RT weight enumerators of byte error control codes over finite commutative Frobenius rings, which can be used to determine the error-detecting and ...
Codes over Galois rings with respect to the Rosenbloom-Tsfasman metric

Özen, Mehmet (PERGAMON-ELSEVIER SCIENCE LTD, 2007)

We investigate the structure of codes over Galois rings with respect to the Rosenbloom-Tsfasman (shortly RT) metric. We define a standard form generator matrix and show how we can determine the minimum distance of a code ...
Cyclic and some constacyclic codes over the ring Z(4)[u]/< u(2)-1 >

Özen, Mehmet; Fatma Zehra Uzekmek; Nuh Aydin; N. Tugba Ozzaim (ACADEMIC PRESS INC ELSEVIER SCIENCE, 2016)

In this paper, we study cyclic codes and constacyclic codes with shift constant (2 + u) over R = Z(4) + uZ(4), where u(2) = 1. We determine the form of the generators of the cyclic codes over this ring and their spanning ...
Cyclic codes over Z(4) + uZ(4) + u(2)Z(4)

Özen, Mehmet; Nazmiye Tugba Ozzaim; Nuh Aydin (SCIENTIFIC TECHNICAL RESEARCH COUNCIL TURKEY-TUBITAK, 2017)

In this paper, we study cyclic codes over the ring R = Z(4) + uZ(4) + u(2)Z(4), where u(3) = 0. We investigate Galois extensions of this ring and the ideal structure of these extensions. The results are then used to obtain ...
Lecture Notes in Computer Science

Mustafa Coban; Ferhat Karakoc; Özen, Mehmet; A Bogdanov (SPRINGER INTERNATIONAL PUBLISHING AG, 2017)

QTL is an ultra-lightweight block cipher designed for extremely constrained devices. The cipher has two versions, QLT-64 and QTL-128 supporting key lengths of 64 and 128 bits, respectively. In this paper, we present the ...
Linear codes over F-q[u]/(u(s)) with respect to the Rosenbloom-Tsfasman metric

Özen, Mehmet (SPRINGER, 2006)

We investigate the structure of codes over F-q[u]/(u(s)) rings with respect to the Rosenbloom-Tsfasman (RT) metric. We de. ne a standard form generator matrix and show how we can determine the minimum distance of a code ...
On the Existence of Perfect Linear Codes Over Z(2 ') with Respect to Homogenous Metric

Şiap, Vedat; Özen, Mehmet (SPRINGER HEIDELBERG, 2013)

In this paper, we obtain bounds for error correcting codes of some particular homogeneous weights over the ring of integers modulo . We also study these bounds to check for perfect linear codes and have shown the non-existence ...
The MacWilliams identity for m-spotty weight enumerators of linear codes over finite fields

Özen, Mehmet; Şiap, Vedat (PERGAMON-ELSEVIER SCIENCE LTD, 2011)

Some of the error control codes are applied to high speed memory systems using RAM chips with either 1-bit I/O data (b = 1) or 4-bit I/O data (to = 4). However, modern large-capacity memory systems use RAM chips with 8, ...