Results 81 to 90 of about 33,515 (176)
, 2018 We introduce Reed-Solomon-Gabidulin codes which is, at the same time, an extension to Reed-Solomon codes on the one hand and Gabidulin codes on the other hand. We prove that our codes have good properties with respect to the minimal distance and design an efficient decoding algorithm.
Caruso, Xavier, Durand, Amaury
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Stream Cipher by Reed-Solomon Codes
Advances in Science, Technology and Engineering Systems Journal, 2017 Reed-Solomon code or RS code is widely used for error corrections of data in transmission and storages. However, it is thought of as insecure for direct implementation in code-based cryptography due to plaintext-known attacks. In recent years, McEliece cryptosystem with enhanced public key security by generalized RS code and Goppa code are discussed ...
Tao Wu, Ruomei Wang
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List Decoding of Generalized Reed-Solomon Codes by Using a Modified Extended Key Equation Algorithm
EURASIP Journal on Wireless Communications and Networking, 2011 This work presents a modified extended key equation algorithm in list decoding of generalized Reed-Solomon (GRS) codes. A list decoding algorithm of generalized Reed-Solomon codes has two steps, interpolation and factorization. The extended key equation
Chang Ming-Hua, Hu Ta-Hsiang
doaj
Algebraic List-decoding of Subspace Codes [PDF]
, 2012 Subspace codes were introduced in order to correct errors and erasures for randomized network coding, in the case where network topology is unknown (the noncoherent case).
Mahdavifar, Hessam, Vardy, Alexander
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ON THE PROGRAM MODULE REALIZATION OF SUDAN DETERMINED DECODER FOR REED-SOLOMON CODES
Вестник Донского государственного технического университета, 2018 The program module of Sudan determined list decoder for Reed-Solomon codes is developed. The block diagram and program realization of decoder are constructed. A part of the realization is based on the effective factorization algorithm of Roth-Ruckenstein.
V.V. MKRTICHAN
doaj
ON THE PROGRAM MODULE REALIZATION OF SUDAN DETERMINED DECODER FOR REED-SOLOMON CODES
Advanced Engineering Research, 2007 The program module of Sudan determined list decoder for Reed-Solomon codes is developed. The block diagram and program realization of decoder are constructed. A part of the realization is based on the effective factorization algorithm of Roth-Ruckenstein.
V.V. MKRTICHAN
doaj
Dimensions of the hull of generalized Reed-Solomon codes
AIMS MathematicsLet GRS$ _k(\boldsymbol{\alpha}, \boldsymbol{\upsilon}) $ be a $ k $-dimensional generalized Reed-Solomon (GRS) code over $ \mathbb{F}_q $ associated with $ \boldsymbol{\alpha} = (\alpha_1, \ldots, \alpha_n) $ and $ \boldsymbol{\upsilon} = (\upsilon_1,
Jing Huang, Jingge Liu , Dong Yu
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Coding for reliable satellite communications [PDF]
Several error control coding techniques for reliable satellite communications were investigated to find algorithms for fast decoding of Reed-Solomon codes in terms of dual basis. The decoding of the (255,223) Reed-Solomon code, which is used as the outer
Lin, S.
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Research on fractional repetition codes based on group divisible designs
Tongxin xuebao, 2015 A novel design of FR (fractional repetition) codes was proposed which aims at providing efficient repair at the minimum bandwidth regenerating point.The design consisted of an outer MDS (maximum distance separable) code and an inner repetition code ...
Bing ZHU +4 more
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Coding Concepts and Reed-Solomon Codes
, 2022 The material in this book is presented to graduate students in Information and Communication theory. The idea is that we give an introduction to particular applications of information theory and coding in digital communications. The goal is to bring understanding of the underlying concepts, both in theory as well as in practice.
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