Results 21 to 30 of about 2,120,403 (275)
Syndrome spectrums of error orbits in RS-codes
Системный анализ и прикладная информатика, 2020 This article is devoted to the research of the properties of syndromes of errors in Reed-Solomon codes. RS-codes are built on non-binary alphabets. So, unlike BCH-codes, RS-codes contain an extremely large variety of correctable errors.
V. A. Lipnitski, S. I. Semyonov
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On the dual code of points and generators on the Hermitian variety H(2n+1,q²) [PDF]
, 2014 We study the dual linear code of points and generators on a non-singular Hermitian variety H(2n + 1, q(2)). We improve the earlier results for n = 2, we solve the minimum distance problem for general n, we classify the n smallest types of code words and ...
De Boeck, Maarten +1 more
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On the generalized Hamming weights of certain Reed–Muller-type codes
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2020 There is a nice combinatorial formula of P. Beelen and M. Datta for the r-th generalized Hamming weight of an a ne cartesian code. Using this combinatorial formula we give an easy to evaluate formula to compute the r-th generalized Hamming weight for a ...
González-Sarabia Manuel +2 more
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Universal Gr\"obner Bases for Binary Linear Codes [PDF]
, 2013 Each linear code can be described by a code ideal given as the sum of a toric ideal and a non-prime ideal. In this way, several concepts from the theory of toric ideals can be translated into the setting of code ideals.
Dück, Natalia, Zimmermann, Karl-Heinz
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Efficiently Mapping Linear Algebra to High-Performance Code [PDF]
, 2019 Aware of the role that linear algebra plays in scientific applications, we investigate if/how matrix expressions can be efficiently evaluated with current high-level languages.
Barthels, Henrik +2 more
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Eye movements in code reading:relaxing the linear order [PDF]
, 2015 —Code reading is an important skill in programming. Inspired by the linearity that people exhibit while natural lan-guage text reading, we designed local and global gaze-based mea-sures to characterize linearity (left-to-right and top-to-bottom) in ...
Bednarik, Roman +7 more
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The automorphisms and error orbits of Reed – Solomon codes
Доклады Белорусского государственного университета информатики и радиоэлектроники, 2020 The purpose of this work with its results presented in the article was to develop and transfer to the class of Reed – Solomon codes (RS-codes) the basic provisions of the theory of syndrome norms (TNS), previously developed for the noise-resistant coding
S. I. Semyonov, V. A. Lipnitsky
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Simulating Gyrokinetic Microinstabilities in Stellarator Geometry with GS2 [PDF]
, 2011 The nonlinear gyrokinetic code GS2 has been extended to treat non-axisymmetric stellarator geometry. Electromagnetic perturbations and multiple trapped particle regions are allowed.
Beidler C. +11 more
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Linear Codes Over a Non-Chain Ring and the MacWilliams Identities
IEEE Access, 2020 This paper is concerned with the linear codes over the non-chain ring R=F2[v]/〈v4-v〉. First, several weight enumerators over R are defined.
Tiantian Li, Rongsheng Wu, Juan Xu
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Entropy, 2023 Nested linear coding is a widely used technique in wireless communication systems for improving both security and reliability. Some parameters, such as the relative generalized Hamming weight and the relative dimension/length profile, can be used to ...
Morteza Shoushtari, Willie Harrison
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