Results 11 to 20 of about 164 (43)

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

LIFTED CODES OVER FINITE CHAIN RINGS [PDF]

, 2011
In this paper, we study lifted codes over finite chain rings.
Dougherty, Steven T., Liu, Hongwei, Park, Young Ho   +2 more
core   +1 more source

Codes over a weighted torus [PDF]

, 2015
a
Dias, Eduardo, Neves, Jorge
core   +2 more sources

Every Binary Self-Dual Code Arises From Hilbert Symbols

, 2012
In this paper we construct binary self-dual codes using the \'etale cohomology of $\mathbb{Z}/2$ on the spectra of rings of $S$-integers of global fields.
Chinburg, Ted, Zhang, Ying
core   +1 more source

Skew cyclic codes over $\mathbb{F}_{q}+v\mathbb{F}_{q}+v^{2}\mathbb{F}_{q}$

, 2015
In this article, we study skew cyclic codes over ring $R=\mathbb{F}_{q}+v\mathbb{F}_{q}+v^{2}\mathbb{F}_{q}$, where $q=p^{m}$, $p$ is an odd prime and $v^{3}=v$.
Alahmadi, Adel, Shi, Minjia, Solé, Patrick, Yao, Ting   +3 more
core   +1 more source

New extremal binary self-dual codes of length 68 from quadratic residue codes over f_2+uf_2+u^2f_2

, 2013
In this work, quadratic reside codes over the ring F2 +uF2 +u^2F2 with u^3 = u are considered. A duality and distance preserving Gray map from F2 + uF2 + u^2F2 to (F_2)^3 is defined.
Kaya, Abidin, Siap, Irfan, Yildiz, Bahattin   +2 more
core   +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

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  

Graph-Based Classification of Self-Dual Additive Codes over Finite Fields

, 2008
Quantum stabilizer states over GF(m) can be represented as self-dual additive codes over GF(m^2). These codes can be represented as weighted graphs, and orbits of graphs under the generalized local complementation operation correspond to equivalence ...
Danielsen, Lars Eirik
core   +4 more sources

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