[HTML][HTML] Quasi-twisted codes with constacyclic constituent codes

M Shi, Y Zhang - Finite Fields and Their Applications, 2016 - Elsevier
Quasi-twisted codes are generalizations of the familiar linear quasi-cyclic codes. In this
paper, an algebraic method is used to investigate the relationship between quasi-twisted …

[HTML][HTML] A generalization of quasi-twisted codes: Multi-twisted codes

N Aydin, A Halilović - Finite Fields and Their Applications, 2017 - Elsevier
Cyclic codes and their various generalizations, such as quasi-twisted (QT) codes, have a
special place in algebraic coding theory. Among other things, many of the best-known or …

[PDF][PDF] Some results on the structure of constacyclic codes and new linear codes over GF (7) from quasi-twisted codes.

N Aydin, N Connolly, M Grassl - Adv. Math. Commun., 2017 - researchgate.net
One of the most important and challenging problems in coding theory is to construct codes
with good parameters. There are various methods to construct codes with the best possible …

On equivalence of cyclic codes, generalization of a quasi-twisted search algorithm, and new linear codes

N Aydin, J Lambrinos, O VandenBerg - Designs, Codes and Cryptography, 2019 - Springer
A fundamental problem in coding theory is the explicit construction of linear codes with best
possible parameters. A search algorithm (ASR) on certain types of quasi-twisted (QT) codes …

[HTML][HTML] Skew multi-twisted codes over finite fields and their Galois duals

A Sharma, V Chauhan - Finite Fields and Their Applications, 2019 - Elsevier
In this paper, we introduce a new class of linear codes over finite fields, viz. skew multi-
twisted codes (or skew generalized quasi-twisted codes), which is a generalization of some …

New binary linear codes from quasi-cyclic codes and an augmentation algorithm

N Aydin, N Connolly, J Murphree - Applicable Algebra in Engineering …, 2017 - Springer
Explicit construction of linear codes with best possible parameters is one of the major
problems in coding theory. Among all alphabets of interest, the binary alphabet is the most …

[HTML][HTML] Multi-twisted codes over finite fields and their dual codes

A Sharma, V Chauhan, H Singh - Finite Fields and Their Applications, 2018 - Elsevier
Let F q denote the finite field of order q, let m 1, m 2,⋯, m ℓ be positive integers satisfying
gcd⁡(mi, q)= 1 for 1≤ i≤ ℓ, and let n= m 1+ m 2+⋯+ m ℓ. Let Λ=(λ 1, λ 2,⋯, λ ℓ) be fixed …

A new algorithm for equivalence of cyclic codes and its applications

N Aydin, RO VandenBerg - Applicable Algebra in Engineering …, 2023 - Springer
Cyclic codes are among the most important families of codes in coding theory for both
theoretical and practical reasons. Despite their prominence and intensive research on cyclic …

Some new quasi-twisted ternary linear codes

R Daskalov, P Hristov - Journal of Algebra Combinatorics Discrete …, 2015 - dergipark.org.tr
Let n,k,d_q code be a linear code of length n, dimension k and minimum Hamming distance
d over GF(q). One of the basic and most important problems in coding theory is to construct …

New linear codes from constacyclic codes

N Aydin, JM Murphree - Journal of the Franklin Institute, 2014 - Elsevier
One of the main challenges of coding theory is to construct linear codes with the best
possible parameters. Various algebraic and combinatorial methods along with computer …