Results 31 to 40 of about 2,782,523 (317)
The Weights in MDS Codes [PDF]
IEEE Transactions on Information Theory, 2011 5 pages, submitted to IEEE Trans. IT. This version 2 is the revised version after the refereeing process.
Ezerman, M.F., Grassl, M., Sole, P.
openaire +4 more sources
IEEE Access, 2020 Let p ≠ 3 be any prime. The structures of all λ-constacyclic codes of length 3ps over the finite commutative chain ring Fpm + uFpm (u2 = 0) are established in the term of their generator polynomials.
Hai Q. Dinh +2 more
doaj +1 more source
Asymmetry Helps: Improved Private Information Retrieval Protocols for Distributed Storage [PDF]
, 2018 We consider private information retrieval (PIR) for distributed storage systems (DSSs) with noncolluding nodes where data is stored using a non maximum distance separable (MDS) linear code.
Amat, Alexandre Graell i +3 more
core +2 more sources
Convertible Codes: New Class of Codes for Efficient Conversion of Coded Data in Distributed Storage [PDF]
, 2020 Erasure codes are typically used in large-scale distributed storage systems to provide durability of data in the face of failures. In this setting, a set of k blocks to be stored is encoded using an [n, k] code to generate n blocks that are then stored ...
Maturana, Francisco, Rashmi, K. V.
core +1 more source
Application of Classical Hermitian Self-Orthogonal MDS Codes to Quantum MDS Codes [PDF]
IEEE Transactions on Information Theory, 2010 In this paper, we first construct several classes of classical Hermitian self-orthogonal maximum distance separable (MDS) codes. Through these classical codes, we are able to obtain various quantum MDS codes. It turns out that many of our quantum codes are new in the sense that the parameters of our quantum codes cannot be obtained from all previous ...
Jin, Lingfei +3 more
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Partial MDS Codes with Local Regeneration
, 2020 Partial MDS (PMDS) and sector-disk (SD) codes are classes of erasure codes that combine locality with strong erasure correction capabilities. We construct PMDS and SD codes where each local code is a bandwidth-optimal regenerating MDS code.
Holzbaur, Lukas +3 more
core +1 more source
MDS codes with Euclidean and Hermitian hulls of flexible dimensions and their applications to EAQECCs [PDF]
Quantum Information Processing, 2022 The hull of a linear code is the intersection of itself with its dual code with respect to certain inner product. Both Euclidean and Hermitian hulls are of theorical and practical significance.
Yang Li, Ruhao Wan, Shixin Zhu
semanticscholar +1 more source
Some subfield codes from MDS codes
Advances in Mathematics of Communications, 2023 The authors give a construction of subfield codes from a family of MDS codes by using group characters and trace representations. In Subsection 2.3 the construction of the investigated subfield codes is explained. (This construction itself is actually due to \textit{C. Ding} and \textit{Z. Heng} [IEEE Trans. Inf. Theory 65, No. 8, 4715--4729 (2019; Zbl
Xiang, Can, Luo, Jinquan
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An MDS-PIR Capacity-Achieving Protocol for Distributed Storage Using Non-MDS Linear Codes [PDF]
, 2018 We propose a private information retrieval (PIR) protocol for distributed storage systems with noncolluding nodes where data is stored using an arbitrary linear code.
Amat, Alexandre Graell i +3 more
core +2 more sources
On the Classification of MDS Codes [PDF]
IEEE Transactions on Information Theory, 2015 Submitted to IEEE transactions on Information Theory; presented in part at the 4th International Castle Meeting in Coding Theory and Applications, Palmela, Portugal, September ...
Krotov, Denis S. +3 more
openaire +3 more sources