Key equations for list decoding of Reed–Solomon codes and how to solve them

Author:

Beelen Peter,Brander Kristian

Publisher

Elsevier BV

Subject

Computational Mathematics,Algebra and Number Theory

Reference15 articles.

1. Linear diophantine equations over polynomials and soft decoding of Reed–Solomon codes;Alekhnovich;IEEE Transactions on Information Theory,2005

2. On the Roth and Ruckenstein equations for the Guruswami–Sudan algorithm;Augot,2008

3. List decoding using syndromes;Beelen,2008

4. Algebraic Codes on Lines, Planes, and Curves;Blahut,2008

5. Using Algebraic Geometry;Cox,2004

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1. A New Decoding Method for Reed–Solomon Codes Based on FFT and Modular Approach;IEEE Transactions on Communications;2022-12

2. Three Parallelization Syndrome Block for Reed Solomon code RS (255, 239) Used in Digital Video Broadcasting DVB-T;Proceedings of the 2nd International Conference on Networking, Information Systems & Security - NISS19;2019

3. Power decoding Reed-Solomon codes up to the Johnson radius;Advances in Mathematics of Communications;2018

4. Computing minimal interpolation bases;Journal of Symbolic Computation;2017-11

5. Local List Recovery of High-Rate Tensor Codes & Applications;2017 IEEE 58th Annual Symposium on Foundations of Computer Science (FOCS);2017-10

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