Results 21 to 30 of about 4,089,222 (241)

Direct Construction of Optimal Rotational-XOR Diffusion Primitives

IACR Transactions on Symmetric Cryptology, 2017
As a core component of SPN block cipher and hash function, diffusion layer is mainly introduced by matrices built from maximum distance separable (MDS) codes.
Zhiyuan Guo, Renzhang Liu, Si Gao, Wenling Wu, Dongdai Lin   +4 more
doaj   +1 more source

From Product Codes to Structured Generalized LDPC Codes [PDF]

, 2010
Product codes, due to their relatively large minimum distance, are often seen as a natural solution for applications requiring low error floors.
Paolini, Enrico, Michael Lentmaier, G. Liva, G. Fettweis, Fettweis, Gerhard, Gerhard Fettweis, Lentmaier, Michael, Liva, Gianluigi, Gianluigi Liva, M. Lentmaier, Enrico Paolini   +10 more
core   +1 more source

A Family of Almost MDS Symbol-Pair Codes of Length 8p

IEEE Access
In high-density data storage systems, symbol-pair codes are commonly used to prevent symbol-pair errors. Designing maximum distance separable (MDS) codes is crucial in symbol-pair coding theory because MDS symbol-pair codes are the best at meeting the ...
Hai Q. Dinh, Bac T. Nguyen, Hiep L. Thi, Woraphon Yamaka   +3 more
doaj   +1 more source

Global Navigation Satellite System Channel Coding Structures for Rapid Signal Acquisition in Harsh Environmental Conditions

Navigation, 2023
In this article, we present the design of a new navigation message system that includes an error-correcting scheme. This design exploits the “carousel” nature of the broadcast navigation message and facilitates (i) a reduction in the time to first fix ...
Lorenzo Ortega, Charly Poulliat
doaj   +1 more source

Decoding of MDP Convolutional Codes over the Erasure Channel under Linear Systems Point of View

Mathematics
This paper attempts to highlight the decoding capabilities of MDP convolutional codes over the erasure channel by defining them as discrete linear dynamical systems, with which the controllability property and the observability characteristics of linear ...
Maria Isabel García-Planas, Laurence E. Um   +1 more
doaj   +1 more source

Three Efficient All-Erasure Decoding Methods for Blaum–Roth Codes

Entropy, 2022
Blaum–Roth Codes are binary maximum distance separable (MDS) array codes over the binary quotient ring F2[x]/(Mp(x)), where Mp(x)=1+x+⋯+xp−1, and p is a prime number.
Weijie Zhou, Hanxu Hou
doaj   +1 more source

Complete Characterizations of Optimal Locally Repairable Codes With Locality 1 and $K-1$

IEEE Access, 2019
A locally repairable code (LRC) is a [n, k, d] linear code with length n, dimension k, minimum distance d and locality r, which means that every code symbol can be repaired by at most r other symbols.
Yichong Xia, Bin Chen
doaj   +1 more source

Maximum distance separable codes over ℤ2 × ℤ2s

, 2018
Bilal et al. (Maximum distance separable codes over [Formula: see text] and [Formula: see text] Des. Codes Cryptogr. 61 (2011) 31–40) obtained two upper bounds on minimum distance of codes over rings to the case of [Formula: see text]-additive codes and
Sadegh Sadeghi, Karim Samei
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

Maximum distance separable convolutional codes

, 1998
A maximum distance separable (MDS) block code is a linear code whose distance is maximal among all linear block codes of rate k/n. It is well known that MDS block codes do exist if the field size is more than n.
Rosenthal, J, Joachim Rosenthal, Smarandache, R, Roxana Smarandache   +3 more
core   +1 more source