Results 21 to 30 of about 35,366 (273)
On Symbol-Pair Distance of a Class of Constacyclic Codes of Length 3ps over
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 +2 more
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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
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Explicit MDS Codes with Complementary Duals [PDF]
, 2017 In 1964, Massey introduced a class of codes with complementary duals which are called Linear Complimentary Dual (LCD for short) codes. He showed that LCD codes have applications in communication system, side-channel attack (SCA) and so on. LCD codes have
Beelen, Peter, Jin, Lingfei
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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.
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The Partition Weight Enumerator of MDS Codes and its Applications [PDF]
, 2005 A closed form formula of the partition weight enumerator of maximum distance separable (MDS) codes is derived for an arbitrary number of partitions. Using this result, some properties of MDS codes are discussed.
El-Khamy, Mostafa, McEliece, Robert J.
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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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Enumeration of Self-Dual Codes of Length 6 over ℤp
Mathematics, 2019 The purpose of this paper is to classify and enumerate self-dual codes of length 6 over finite field Z p .
Whan-Hyuk Choi
doaj +1 more source
On Symbol-Triple Distance of a Class of Constacyclic Codes of Length 3
IEEE Access, 2023 Let $p\not =3$ be any prime. In this paper, we completely determine symbol-triple distance of all $\gamma $ -constacyclic codes of length $3p^{s}$ over the finite commutative chain ring ${\mathcal{ R}}=\mathbb F_{p^{m}}+u\mathbb F_{p^{m}}$ , where
Hai Q. Dinh +3 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
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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
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