Results 11 to 20 of about 738 (56)

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

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

A Family Of Low Density Matrices In Lagrangian–Grassmannian

Special Matrices, 2018
The aim of this paper is twofold. First, we show a connection between the Lagrangian- Grassmannian variety geometry defined over a finite field with q elements and the q-ary Low-Density Parity- Check codes. Second, considering the Lagrangian-Grassmannian
Carrillo-Pacheco Jesús, Jarquín-Zárate Fausto   +1 more
doaj   +1 more source

DAGS: Key encapsulation using dyadic GS codes

Journal of Mathematical Cryptology, 2018
Code-based cryptography is one of the main areas of interest for NIST’s Post-Quantum Cryptography Standardization call. In this paper, we introduce DAGS, a Key Encapsulation Mechanism (KEM) based on quasi-dyadic generalized Srivastava codes.
Banegas Gustavo, Barreto Paulo S. L. M., Boidje Brice Odilon, Cayrel Pierre-Louis, Dione Gilbert Ndollane, Gaj Kris, Gueye Cheikh Thiécoumba, Haeussler Richard, Klamti Jean Belo, N’diaye Ousmane, Nguyen Duc Tri, Persichetti Edoardo, Ricardini Jefferson E.   +12 more
doaj   +1 more source

On extremal self-dual ternary codes of length 48 [PDF]

, 2011
All extremal ternary codes of length 48 that have some automorphism of prime order $p\geq 5$ are equivalent to one of the two known codes, the Pless code or the extended quadratic residue ...
Nebe, Gabriele
core   +4 more sources

Codes Over Hyperfields

Discussiones Mathematicae - General Algebra and Applications, 2017
In this paper, we define linear codes and cyclic codes over a finite Krasner hyperfield and we characterize these codes by their generator matrices and parity check matrices.
Atamewoue Surdive, Ndjeya Selestin, Strüngmann Lutz, Lele Celestin   +3 more
doaj   +1 more source

Some restrictions on weight enumerators of singly even self-dual codes II

, 2017
In this note, we give some restrictions on the number of vectors of weight $d/2+1$ in the shadow of a singly even self-dual $[n,n/2,d]$ code. This eliminates some of the possible weight enumerators of singly even self-dual $[n,n/2,d]$ codes for $(n,d ...
Harada, Masaaki, Munemasa, Akihiro
core   +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  

Kneser-Hecke-operators in coding theory

, 2006
The Kneser-Hecke-operator is a linear operator defined on the complex vector space spanned by the equivalence classes of a family of self-dual codes of fixed length.
Nebe, Gabriele
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