Results 21 to 30 of about 68 (66)

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

Idempotent generators of cyclic and quadratic residue codes over [PDF]

, 2013
In this paper we study idempotent generators of cyclic codes and quadratic residue codes over R = , where and . The forms of some idempotents over this ring are given, the quadratic residue codes are defined in forms of the idempotent generators, and the
Al-Ashker, Mohammed M.
core  

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

An Algebraic Description Of Iterative Decoding Schemes

, 2000
. Several popular, suboptimal algorithms for bit decoding of binary block codes such as turbo decoding, threshold decoding, and message passing for LDPC, were developed almost as a common sense approach to decoding of some specially designed codes. After
Elke Offer, Emina SOLJANIN
core   +1 more source

Minimal Codewords in Linear Codes [PDF]

, 2004
2000 Mathematics Subject Classification: 94B05, 94B15.Cyclic binary codes C of block length n = 2^m − 1 and generator polynomial g(x) = m1(x)m2^s+1(x), (s, m) = 1, are considered. The cardinalities of the sets of minimal codewords of weights 10 and 11 in
Manev, Nickolai, Borissov, Yuri
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

On Multiple Caps in Finite Projective Spaces

, 2020
. In this paper, we consider new results on (k, n)-caps with n > 2. We provide a lower bound on the size of such caps. Furthermore, we generalize two product constructions for (k, 2)-caps to caps with larger n.
Yves Edel, Ivan Landjev
core  

Random Linear Code Based Public Key Encryption Scheme RLCE [PDF]

, 2015
Lattice based encryption schemes and linear code based encryption schemes have received extensive attention in recent years since they have been considered as post-quantum candidate encryption schemes.
Yongge Wang
core  

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