Results 1 to 10 of about 29 (29)

Self dual, reversible and complementary duals constacyclic codes over finite local Frobenius non-chain rings of length 5 and nilpotency index 4.

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021
Over finite local Frobenius non-chain rings of length 5 and nilpotency index 4 and when the length of the code is relatively prime to the characteristic of the residue field of the ring, the structure of the dual of γ-constacyclic codes is established ...
Castillo-Guillén C. A., Álvarez-García C.   +1 more
doaj   +1 more source

Construction of reversible cyclic codes over 𝔽q + u𝔽q + u2𝔽q

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023
Let q be a power of prime p. In this article, we investigate the reversible cyclic codes of arbitrary length n over the ring R = 𝔽q +u𝔽q + u2𝔽q, where u3 = 0 mod q.
Rehman Nadeem ur, Ahmad Mohammad Fareed, Azmi Mohd   +2 more
doaj   +1 more source

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

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2022
A one to one correspondence between the elements of a finite local Frobenius non-chain ring of length 5 and nilpotency index 4, and k-tuples of DNA codewords is established.
Castillo-Guillén C. A., Álvarez-García C.   +1 more
doaj   +1 more source

Codes parameterized by the edges of a bipartite graph with a perfect matching

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023
In this paper we study the main characteristics of some evaluation codes parameterized by the edges of a bipartite graph with a perfect matching.
Sarabia Manuel González, Villarreal Rafael H.   +1 more
doaj   +1 more source

Self-Dual Cyclic Codes Over M2(ℤ4)

Discussiones Mathematicae - General Algebra and Applications, 2022
In this paper, we study the structure of cyclic codes overM2(ℤ4) (the matrix ring of matrices of order 2 over ℤ4), which is perhaps the first time that the ring is considered as a code alphabet.
Bhowmick Sanjit, Pal Joydeb, Bandi Ramakrishna, Bagchi Satya   +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

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

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 Double Cyclic Codes over Finite Chain Rings for DNA Computing. [PDF]

Entropy (Basel)
Ali S, Alali AS, Azeem M, Khan AA, Wong KB.   +4 more
europepmc   +1 more source

Fourth moments of the code-weights

Communications in Algebra, 2023
Ibrahim Özen
exaly