Results 21 to 30 of about 513,670 (123)
$\lambda$-CONSTACYCLIC CODES OVER FINITE KRASNER HYPERFIELDS
, 2022 The class of constacyclic codes plays an important role in the theory or error-correcting codes. They are considered as a remarkable generalization of cyclic codes.
Davvaz, Bijan, Al Tahan, Madeleine
core +1 more source
The weight distributions of constacyclic codes
Advances in Mathematics of Communications, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fengwei Li 0001 +2 more
openaire +3 more sources
A note on isodual constacyclic codes
Finite Fields and Their Applications, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chen, Bocong, Dinh, Hai Q.
openaire +2 more sources
Finite Fields and Their Applications, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +3 more sources
Constacyclic codes over general mixed alphabets and their applications [PDF]
Let q be a prime power and let fi(wi) be polynomials of degree ni, which are not linear but split into distinct linear factors over Fq, where 1≤i≤k and k≥1 is a positive integer. Define Rk to be the finite commutative non-chain ring Rk=Fq[w1,w2,…,wk]/⟨fi(
Sharma, Pushpendra +3 more
core +1 more source
Linear Algebra and its Applications, 2016 In this paper we investigate the class of constacyclic codes, which is a natural generalization of the class of cyclic and negacyclic codes. This class of codes is interesting in the sense that it contains codes with good or even optimal parameters.
openaire +3 more sources
An overview on skew constacyclic codes and their subclass of LCD codes
Advances in Mathematics of Communications, 2021 Linear complementary dual (LCD) codes were introduced by Massey in 1994 [\textit{X. Yang} and \textit{J. L. Massey}, Discrete Math. 126, No. 1--3, 391--393 (1994; Zbl 0790.94022)] and proved that asymptotically good LCD codes exists [\textit{J. L. Massey}, Discrete Math. 106/107, 337--342 (1992; Zbl 0754.94009)]. From 2016 to 2018, some authors studied
Boulanouar, Ranya +2 more
openaire +6 more sources
A class of constacyclic codes are generalized Reed–Solomon codes
Designs, Codes and Cryptography, 2023 Maximum distance separable (MDS) codes are optimal in the sense that the minimum distance cannot be improved for a given length and code size. The most prominent MDS codes are generalized Reed-Solomon (GRS) codes. The square $\mathcal{C}^{2}$ of a linear code $\mathcal{C}$ is the linear code spanned by the component-wise products of every pair of ...
Hongwei Liu 0003, Shengwei Liu
openaire +5 more sources
Properties of constacyclic codes under the Schur product [PDF]
Designs, Codes and Cryptography, 2020 24 pages, 2 figures, acknowledgements ...
Brett Hemenway Falk +2 more
openaire +4 more sources
Some constacyclic self-dual codes over the integers modulo 2m [PDF]
, 2012 In this paper, we explore constacyclic self-dual codes over Z2m. We first characterize constacyclic self-dual codes over Zpm of any length. Then we determine the structure of η-constacyclic self-dual codes over Z2t, where η=−1 or −1+2t−1.
Kai, Xiaoshan +5 more
core +1 more source