10 citations · 38 across the 20 of their papers we have counts for
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Some structural properties of mixed orthogonal arrays and their irredundancy
Maryam Bajalan, Peter Boyvalenkov, Ferruh Özbudak
Mixed (asymmetric) orthogonal arrays (MOAs) generalize classical orthogonal arrays by allowing columns over different alphabets. However, their study requires very different struct…
Determining the covering radius of all generalized Zetterberg codes in odd characteristic
Minjia Shi, Shitao Li, Tor Helleseth +1
For an integer , let be the generalized Zetterberg code of length over the finite field $\F_{q_0}$ of odd characteristic. Recently, Shi, Hell…
Sequence of Numbers of Linear Codes with Increasing Hull Dimensions
Stefka Bouyuklieva, Iliya Bouyukliev, Ferruh Özbudak
The hull of a linear code is the intersection of with its dual code. We present and analyze the number of linear -ary codes of the same length and dimension but with dif…
Griesmer Bound and Constructions of Linear Codes in -Symbol Metric
Gaojun Luo, Martianus Frederic Ezerman, Cem Güneri +2
The -symbol metric is a generalization of the Hamming metric. Linear codes, in the -symbol metric, have been used in the read channel whose outputs consist of consecutive…
Constructing MRD codes by switching
Minjia Shi, Denis S. Krotov, Ferruh Özbudak
MRD codes are maximum codes in the rank-distance metric space on -by- matrices over the finite field of order . They are diameter perfect and have the cardinality $q^{m(n-…
Complete b-symbol weight distribution of some irreducible cyclic codes
Hongwei Zhu, Minjia Shi, Ferruh Ozbudak
Recently, -symbol codes are proposed to protect against -symbol errors in -symbol read channels. It is an interesting subject of study to consider the complete -symbol…
LCD Codes from tridiagonal Toeplitz matrice
Minjia Shi, Ferruh Özbudak, Li Xu +1
Double Toeplitz (DT) codes are codes with a generator matrix of the form with a Toeplitz matrix, that is to say constant on the diagonals parallel to the main. When …
On affine variety codes from the Klein quartic
Olav Geil, Ferruh Ôzbudak
We study a family of primary affine variety codes defined from the Klein quartic. The duals of these codes have previously been treated in [12, Ex. 3.2]. Among the codes that we co…
A new class of three-weight linear codes from weakly regular plateaued functions
Sihem Mesnager, Ferruh Özbudak, Ahmet Sınak
Linear codes with few weights have many applications in secret sharing schemes, authentication codes, communication and strongly regular graphs. In this paper, we consider linear c…
Structure and Performance of Generalized Quasi-Cyclic Codes
Cem Güneri, Ferruh Özbudak, Buket Özkaya +3
Generalized quasi-cyclic (GQC) codes form a natural generalization of quasi-cyclic (QC) codes. They are viewed here as mixed alphabet codes over a family of ring alphabets. Decompo…
Additive cyclic codes over finite commutative chain rings
Edgar Martínez-Moro, Kamil Otal, Ferruh Özbudak
Additive cyclic codes over Galois rings were investigated in previous works. In this paper, we investigate the same problem but over a more general ring family, finite commutative…
Monomial-like codes
Edgar Martinez-Moro, Hakan Ozadam, Ferruh Ozbudak +1
As a generalization of cyclic codes of length p^s over F_{p^a}, we study n-dimensional cyclic codes of length p^{s_1} X ... X p^{s_n} over F_{p^a} generated by a single "monomial".…