Results 11 to 20 of about 566,775 (253)

Quantum MDS and Synchronizable Codes From Cyclic and Negacyclic Codes of Length 2p^s Over F_p^m

IEEE Access, 2020
Let p be an odd prime, and Fp(m) is the finite field of pm elements. In this paper, all maximum distance separable (briefly, MDS) cyclic and negacyclic codes of length 2ps over Fp(m) are established.
Hai Q. Dinh, Bac T Nguyen, Woraphon Yamaka   +2 more
doaj   +1 more source

On Symbol-Pair Distance of a Class of Constacyclic Codes of Length 3p^s over ${\mathbb{F}}_{p^m}+u{\mathbb{F}}_{p^m}$

Axioms, 2023
Let p≠3 be any prime. In this paper, we compute symbol-pair distance of all γ-constacyclic codes of length 3ps over the finite commutative chain ring R=Fpm+uFpm, where γ is a unit of R which is not a cube in Fpm.
Hai Q. Dinh, Hiep L. Thi, Roengchai Tansuchat   +2 more
doaj   +1 more source

Systematic MDS erasure codes based on vandermonde matrices [PDF]

, 2004
An increasing number of applications in computer communications uses erasure codes to cope with packet losses. Systematic maximum-distance separable (MDS) codes are often the best adapted codes.
Fimes, Jérôme, Lacan, Jérôme
core   +1 more source

TOPICS-MDS Memorabel 5 care receiver

, 2023
The Older Persons and Informal Caregivers Survey - Minimum DataSet (TOPICS-MDS) is a public data repository which contains information on the physical and mental health and well-being of older persons and informal caregivers and their care use across the
Olde Rikkert, prof. dr. M.G.M. (Radboudumc) DAI=info:eu-repo/dai/nl/167212737
core   +1 more source

New Construction of Maximum Distance Separable (MDS) Self-Dual Codes over Finite Fields

Entropy, 2019
Maximum distance separable (MDS) self-dual codes have useful properties due to their optimality with respect to the Singleton bound and its self-duality.
Aixian Zhang, Zhe Ji
doaj   +1 more source

Generalized Concatenated Codes over Gaussian and Eisenstein Integers for Code-Based Cryptography

Cryptography, 2021
The code-based McEliece and Niederreiter cryptosystems are promising candidates for post-quantum public-key encryption. Recently, q-ary concatenated codes over Gaussian integers were proposed for the McEliece cryptosystem, together with the one-Mannheim ...
Johann-Philipp Thiers, Jürgen Freudenberger   +1 more
doaj   +1 more source

FNT-based reed-solomon erasure codes [PDF]

, 2009
This paper presents a new construction of Maximum-Distance Separable (MDS) Reed-Solomon erasure codes based on Fermat Number Transform (FNT). Thanks to FNT, these codes support practical coding and decoding algorithms with complexity O(n log n), where n ...
Soro, Alexandre, Alexandre Soro, Lacan, Jérôme, Jerome Lacan   +3 more
core   +1 more source

Genetic Algorithm-Based Method for Discovering Involutory MDS Matrices

Computational and Mathematical Methods, 2023
In this paper, we present an innovative approach for the discovery of involutory maximum distance separable (MDS) matrices over finite fields F2q, derived from MDS self-dual codes, by employing a technique based on genetic algorithms. The significance of
El Mehdi Bellfkih, Said Nouh, Imrane Chems Eddine Idrissi, Khalid Louartiti, Jamal Mouline   +4 more
doaj   +1 more source

TOPICS-MDS Memorabel 5 care giver

, 2023
The Older Persons and Informal Caregivers Survey - Minimum DataSet (TOPICS-MDS) is a public data repository which contains information on the physical and mental health and well-being of older persons and informal caregivers and their care use across the
Olde Rikkert, prof. dr. M.G.M. (Radboudumc) DAI=info:eu-repo/dai/nl/167212737
core   +1 more source

Coding Techniques for Data-Storage Systems [PDF]

, 2008
As information-bearing objects, data-storage systems are natural consumers of information-theoretic ideas. For many issues in data-storage systems, the best trade-off between cost, performance and reliability, passes through the application of error ...
Cassuto, Yuval
core   +1 more source