[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 …
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 …
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.
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 …
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 …
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 …
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 …
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 …
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 …
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 …
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 …
possible parameters. Various algebraic and combinatorial methods along with computer …