Results 21 to 30 of about 722 (41)

The study of ℤpℤp[u, v]-additive cyclic codes and their application in obtaining Optimal and MDSS codes

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
Let S = ℤp[u, v]/〈u2, v2, uv − uv〉 be a semi-local ring, where p is a prime number. In the present article, we determine the generating sets of S and use them to construct the structures of ℤpS-additive cyclic and constacyclic codes.
Ashraf Mohammad, Asim Mohd, Mohammad Ghulam, Rehman Washiqur   +3 more
doaj   +1 more source

Constacyclic codes over 𝔽q𝒮𝒯 and their applications

AKCE International Journal of Graphs and Combinatorics
Let [Formula: see text], where p is an odd prime and r is a positive integer. Consider a ring [Formula: see text], where [Formula: see text] with [Formula: see text] and [Formula: see text] with [Formula: see text].
Amal S. Alali, Mohd Azmi, Nadeem ur Rehman, Mohammad Fareed Ahmad   +3 more
doaj   +1 more source

Vanishing Ideals Over Odd Cycles

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019
Let K be a finite field. Let X* be a subset of the a ne space Kn, which is parameterized by odd cycles. In this paper we give an explicit Gröbner basis for the vanishing ideal, I(X*), of X*.
Uribe-Paczka M. Eduardo, Sarmiento Eliseo, Márquez Carlos Rentería   +2 more
doaj   +1 more source

Linear Skew Cyclic Codes over 𝔽qS

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
In this study, we focus on skew cyclic codes over the family of rings 𝔽q S where q is a power of a prime number and S = 𝔽q + v𝔽q with v2 = v. Structural properties of these codes are studied in detail. Obtained results lead us to characterize 𝔽q S-linear
Yildirim Tulay
doaj   +1 more source

On reversibility problem in DNA bases over a class of rings

Applied Mathematics in Science and Engineering
Let [Formula: see text] be a non-chain ring of characteristic 4, where [Formula: see text] and [Formula: see text]. In this article, we discuss reversible cyclic codes of odd lengths over the ring [Formula: see text].
Amal S. Alali, Mohammad Ashraf, Washiqur Rehman, Ghulam Mohammad, Mohd Asim   +4 more
doaj   +1 more source

Further Results on Homogeneous Two-Weight Codes [PDF]

, 2014
The results of [1,2] on linear homogeneous two-weight codes over finite Frobenius rings are exended in two ways: It is shown that certain non-projective two-weight codes give rise to strongly regular graphs in the way described in [1,2].
Honold, Thomas
core  

Skew cyclic codes over 𝔻4R and their applications to DNA codes construction

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
The fundamental aim of this research is to analyze the configuration of 𝔽4R submodules, skew cyclic codes over 𝔽4R and establish their connection with DNA codes, where 𝔽4 is a field of order 4 and R = 𝔽4 + u𝔽4 + v𝔽4 + w𝔽4 with u2 = u, v2 = v, w2 = w, uv =
Rehman Nadeem ur, Ahmad Mohammad Fareed, Azmi Mohd   +2 more
doaj   +1 more source

Two-dimensional cyclic codes over a finite chain ring

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
In this paper, we have determined the generators and rank of a 2D cyclic code of length mn over a finite chain ring ℛ with residue field 𝔽q, where m is arbitrary and q ≡ 1(mod n).
Garg Disha, Dutt Sucheta
doaj   +1 more source

The Hermitian Two-Graph and its Code [PDF]

AMS classifications: 05E30; 51E20; 94B05;combinatorics;geometry;graph theory;error ...
Haemers, W.H., Kuijken, E.
core   +1 more source

A linear construction for certain Kerdock and Preparata codes

, 1993
The Nordstrom-Robinson, Kerdock, and (slightly modified) Pre\- parata codes are shown to be linear over $\ZZ_4$, the integers $\bmod~4$. The Kerdock and Preparata codes are duals over $\ZZ_4$, and the Nordstrom-Robinson code is self-dual. All these codes
A. R. Calderbank, A. R. Calderbank, A. R. Hammons, N. J. A. Sloane, P. Vijay Kumar, Patrick Solé   +5 more
core   +1 more source