Results 91 to 100 of about 868,467 (209)
Code Constructions based on Reed-Solomon Codes
CoRR, 2017 Reed--Solomon codes are a well--studied code class which fulfill the Singleton bound with equality. However, their length is limited to the size $q$ of the underlying field $\mathbb{F}_q$. In this paper we present a code construction which yields codes with lengths of factors of the field size.
Michael Schelling, Martin Bossert
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Grande efficacité des codes de Reed-Solomon pour la transmission d’informationsNON ...
Barras, Benjamin
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Algorithm of hybrid decoding of Reed–Solomon codes without recurrent procedures
Технологія та конструювання в електронній апаратурі, 2005 A method of decoding Reed–Solomon codes is considered, based on non-recurrent procedures for calculating special extensions of Hankel (Toeplitz) matrices and syndromes. The method makes it possible to significantly reduce error probability during channel
I. V. Ivanova
doaj
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
High-Performance SIMD Software for Spielman Codes in Zero-Knowledge Proofs
Transactions on Cryptographic Hardware and Embedded SystemsWe present the first high-performance SIMD software implementation of Spielman codes for their use in polynomial commitment schemes and zero-knowledge proofs.
Florian Krieger +3 more
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A New Lower Bound for Permutation Codes Using Reed–Solomon Codes
IEEE AccessWe present a constructive lower bound for permutation codes under Kendall’s $\tau $ -metric that improves upon the classical Gilbert-Varshamov estimate for many parameters.
Rana T. Shwayyea +3 more
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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
Analysis of syndrome decoding methods for Reed–Solomon codes
Технологія та конструювання в електронній апаратурі, 2005 Methods of syndrome decoding are considered. The possibility of various approaches to decoding Reed–Solomon codes is shown. It is concluded that the development of non-recursive decoding procedures is necessary, which can be achieved through the use of ...
I. V. Ivanova
doaj
, 2000 The performance of Reed–Solomon (RS) coded direct-sequence code division multiple-access (DS-CDMA) systems using noncoherent M-ary orthogonal modulation is investigated over multipath Rayleigh fading channels.
Yang, L-L., Hanzo, L., Yen, K.
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