Maximum distance separable 2D convolutional codes [PDF]
IEEE Transactions on Information Theory, 2016 Maximum distance separable (MDS) block codes and MDS 1D convolutional codes are the most robust codes for error correction within the class of block codes of a fixed rate and 1D convolutional codes of a certain rate and degree, respectively.
Climent, J.-J. +3 more
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Maximum Distance Separable Codes for Symbol-Pair Read Channels [PDF]
IEEE Transactions on Information Theory, 2013 We study (symbol-pair) codes for symbol-pair read channels introduced recently by Cassuto and Blaum (2010). A Singleton-type bound on symbol-pair codes is established and infinite families of optimal symbol-pair codes are constructed.
Chengmin Wang +5 more
core +5 more sources
Achieving Maximum Distance Separable Private Information Retrieval Capacity With Linear Codes [PDF]
IEEE Transactions on Information Theory, 2019 We propose three private information retrieval (PIR) protocols for distributed storage systems (DSSs) where data is stored using an arbitrary linear code.
Amat, Alexandre Graell i +3 more
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Maximum Distance Separable Codes for b-Symbol Read Channels [PDF]
Finite Fields and Their Applications, 2016 Recently, Yaakobi et al. introduced codes for $b$-symbol read channels, where the read operation is performed as a consecutive sequence of $b>2$ symbols. In this paper, we establish a Singleton-type bound on $b$-symbol codes. Codes meeting the Singleton-type bound are called maximum distance separable (MDS) codes, and they are optimal in the sense ...
Baokun Ding, Zhang Tao, G. Ge
semanticscholar +4 more sources
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 +2 more sources
Some new QEC MDS codes with large minimum distance [PDF]
Scientific ReportsThe advancement of Quantum Error-Correcting (QEC) Maximum Distance Separable (MDS) codes holds substantial importance in practical applications, substantially augmenting the reliability and efficiency of quantum communication and computing.
Lanqiang Li +3 more
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On the threshold of Maximum-Distance Separable codes [PDF]
2010 IEEE International Symposium on Information Theory, 2010 Starting from a practical use of Reed-Solomon codes in a cryptographic scheme published in Indocrypt'09, this paper deals with the threshold of linear q-ary error-correcting codes.
Bruno Kindarji, G. Cohen, H. Chabanne
semanticscholar +4 more sources
Absolutely maximally entangled states, quantum-maximum-distance-separable codes, and quantum repeaters [PDF]
Physical Review A, 2019 We address the relation between absolutely maximally entangled (AME) states and quantum- maximum-distance-separable (QMDS) codes by constructing whole families of QMDS codes from AME states that have stabilizer representations.
D. Alsina, M. Razavi
semanticscholar +4 more sources
Maximum distance separable codes and arcs in projective spaces [PDF]
Journal of Combinatorial Theory, Series A, 2005 18 Pages; co-author added; some results updated; references ...
T. Alderson, A. Bruen, R. Silverman
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On the Probability of Undetected Error for the Maximum Distance Separable Codes [PDF]
IEEE Transactions on Communications, 1984 Summary: In this paper we investigate the performance of maximum-distance- separable codes with symbols from GF(q) when they are used for pure error detection or for simultaneous error correction and detection over a q- input and q-output discrete memoryless channel.
T. Kasami, Shu Lin
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