Results 51 to 60 of about 168,087 (140)

Linear Complementary Equi-Dual Codes

CoRR
We call a linear code $C$ with length $n$ over a field $F$, a linear complementary equi-dual code, when there exists a linear code $D$ over $F$ such that $D$ is permutation equivalent to $C^\perp$ and $(C,D)$ is a linear complementary pair of codes, that is, $C+ D=F^n$ and $C\cap D=0$.
Ashkan Nikseresht, Shohreh Namazi, Marziyeh Beygi Khormaei   +2 more
openaire   +2 more sources

On Z2Z4-additive complementary dual codes and related LCD codes

CoRR, 2019
Linear complementary dual codes were defined by Massey in 1992, and were used to give an optimum linear coding solution for the two user binary adder channel. In this paper, we define the analog of LCD codes over fields in the ambient space with mixed binary and quaternary alphabets.
Nasreddine Benbelkacem, Joaquim Borges, Steven T. Dougherty, Cristina Fernández-Córdoba   +3 more
openaire   +2 more sources

Conditions for the approximate correction of algebras

, 2009
We study the approximate correctability of general algebras of observables, which represent hybrid quantum-classical information. This includes approximate quantum error correcting codes and subsystems codes.
Bény, Cédric
core   +1 more source

Classification and count of binary linear complementary dual group codes

CoRR, 2022
11 ...
Ankan Shaw, Sanjit Bhowmick, Satya Bagchi   +2 more
openaire   +2 more sources

Cyclic Codes over a Non-Commutative Non-Unital Ring

Mathematics
In this paper, we investigate cyclic codes over the ring E of order 4 and characteristic 2 defined by generators and relations as E=⟨a,b∣2a=2b=0,a2=a,b2=b,ab=a,ba=b⟩. This is the first time that cyclic codes over the ring E are studied.
Adel Alahmadi, Malak Altaiary, Patrick Solé   +2 more
doaj   +1 more source

Cyclic Codes over a Non-Local Non-Unital Ring

Mathematics
We study cyclic codes over the ring H of order 4 and characteristic 2 defined by generators and relations as H=⟨a,b∣2a=2b=0,a2=0,b2=b,ab=ba=0⟩. This is the first time that cyclic codes over a non-unitary ring are studied.
Adel Alahmadi, Malak Altaiary, Patrick Solé   +2 more
doaj   +1 more source

Constructions and Enumerations of Self-Dual and LCD Double Circulant Codes over a Local Ring

Mathematics
The construction of self-dual and linear complementary dual (LCD) codes over finite rings, particularly over semi-local and local structures, is an active area of research due to their algebraic richness and applications in communications and ...
Sami H. Saif
doaj   +1 more source

Z2Z4-Additive Perdect Codes in Steganography [PDF]

, 2011
Steganography is an information hiding application which aims to hide secret data imperceptibly into a cover object. In this paper, we describe a novel coding method based on Z2Z4-additive codes in which data is embedded by distorting each cover ...
Rifà Coma, Josep, Rifà Pous, Helena, Ronquillo, Lorena   +2 more
core  

Good Integers: A Structural Review With Applications to Polynomial Factorization and Algebraic Coding Theory

International Journal of Mathematics and Mathematical Sciences
For nonzero coprime integers a and b, a positive integer l is said to be good with respect to a and b if there exists a positive integer k such that l divides ak+bk.
Somphong Jitman
doaj   +1 more source

Architecture and Pricing Strategies for Commercial EV Battery Swapping—Dual-Market Cournot Model and Degradation-Sensitive Regulated Framework

World Electric Vehicle Journal
The global electric vehicle (EV) market has experienced sustained growth over the last decade; however, adoption within the commercial EV segment remains comparatively sluggish. This disparity is driven by three primary factors: the intrinsic limitations
Soham Ghosh
doaj   +1 more source