Results 11 to 20 of about 74 (52)

Constacyclic codes over finite local Frobenius non-chain rings of length 5 and nilpotency index 4

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2020
The family of finite local Frobenius non-chain rings of length 5 and nilpotency index 4 is determined, as a by-product all finite local Frobenius non-chain rings with p5 elements (p a prime) and nilpotency index 4 are given.
Castillo-Guillén C. A., Rentería-Márquez C.   +1 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

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 algebraic geometric codes and some related codes [PDF]

, 2006
Thesis (MSc (Mathematics))--University of Stellenbosch, 2006.The main topic of this thesis is the construction of the algebraic geometric codes (Goppa codes), and their decoding by the list-decoding, which allows one to correct beyond half of the ...
Guenda, Kenza
core  

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

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

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

www.scielo.br/cam Computing the minimal distance of cyclic codes

, 2008
. We describe an algorithm that improves on the standard algorithm for computing the minimal distance of cyclic codes. Mathematical subject classification: 94B15.
José Felipe Voloch
core  

New quantum codes from homothetic-BCH codes

We introduce homothetic-BCH codes. These are a family of q2-ary classical codes C of length λn1, where λ and n1 are suitable positive integers such that the punctured code B of C in the last λn1 − n1 coordinates is a narrow-sense BCH code of length n1 ...
Martín Cruz, Elena, Galindo , Carlos, Hernando, Fernando   +2 more
core   +1 more source