Results 41 to 50 of about 42,243 (288)
A Family of Almost MDS Symbol-Pair Codes of Length 8p
IEEE AccessIn 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 +3 more
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Decoding of Convolutional Codes over the Erasure Channel
, 2011 In this paper we study the decoding capabilities of convolutional codes over the erasure channel. Of special interest will be maximum distance profile (MDP) convolutional codes. These are codes which have a maximum possible column distance increase.
Rosenthal, Joachim +2 more
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Decoding of MDP Convolutional Codes over the Erasure Channel under Linear Systems Point of View
MathematicsThis 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 +1 more
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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 +4 more
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Repair Scheduling in Wireless Distributed Storage with D2D Communication [PDF]
, 2015 We consider distributed storage (DS) for a wireless network where mobile devices arrive and depart according to a Poisson random process. Content is stored in a number of mobile devices, using an erasure correcting code.
Amat, Alexandre Graell i +3 more
core +4 more sources
Parallel Concatenation of Non-Binary Linear Random Fountain Codes with Maximum Distance Separable Codes [PDF]
IEEE Transactions on Communications, 2013 The performance and the decoding complexity of a novel coding scheme based on the concatenation of maximum distance separable (MDS) codes and linear random fountain codes are investigated.
F. L. Blasco, G. Garrammone, G. Liva
semanticscholar +1 more source
Constructions of k-uniform and absolutely maximally entangled states beyond maximum distance codes
Physical Review Research, 2020 Pure multipartite quantum states of n parties and local dimension q are called k-uniform if all reductions to k parties are maximally mixed. These states are relevant for our understanding of multipartite entanglement, quantum information protocols, and ...
Zahra Raissi +3 more
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Complete Characterizations of Optimal Locally Repairable Codes With Locality 1 and
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
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Maximum distance separable codes to order
, 2019 Maximum distance separable (MDS) are constructed to required specifications. The codes are explicitly given over finite fields with efficient encoding and decoding algorithms. Series of such codes over finite fields with ratio of distance to length approaching $(1-R)$ for given $R, \, 0 < R < 1$ are derived.
Hurley, Ted +2 more
openaire +2 more sources
An Optimal Recovery Approach for Liberation Codes in Distributed Storage Systems
IEEE Access, 2020 To reduce the storage cost, distributed storage systems are gradually using erasure codes to ensure data reliability. Liberation codes, which satisfy the maximum distance separable (MDS) property and provide optimal modification overhead, are a class of ...
Ningjing Liang +4 more
doaj +1 more source