The Euclidean algorithm for Generalized Minimum Distance decoding of Reed-Solomon codes

2010 IEEE Information Theory Workshop ◽

10.1109/cig.2010.5592677 ◽

2010 ◽

Author(s):

Sabine Kampf ◽

Martin Bossert

Keyword(s):

Minimum Distance ◽

Euclidean Algorithm ◽

Reed Solomon Codes

Download Full-text

A fast Generalized Minimum Distance decoder for Reed-Solomon codes based on the extended Euclidean algorithm

2010 IEEE International Symposium on Information Theory ◽

10.1109/isit.2010.5513705 ◽

2010 ◽

Author(s):

Sabine Kampf ◽

Martin Bossert

Keyword(s):

Minimum Distance ◽

Euclidean Algorithm ◽

Extended Euclidean Algorithm ◽

Reed Solomon Codes

Download Full-text

Fast generalized minimum-distance decoding of algebraic-geometry and Reed-Solomon codes

IEEE Transactions on Information Theory ◽

10.1109/18.490540 ◽

1996 ◽

Vol 42 (3) ◽

pp. 721-737 ◽

Author(s):

R. Kotter

Keyword(s):

Algebraic Geometry ◽

Minimum Distance ◽

Reed Solomon Codes

Download Full-text

From the Euclidean Algorithm for Solving a Key Equation for Dual Reed–Solomon Codes to the Berlekamp–Massey Algorithm

Applied Algebra, Algebraic Algorithms and Error-Correcting Codes - Lecture Notes in Computer Science ◽

10.1007/978-3-642-02181-7_4 ◽

2009 ◽

pp. 32-42 ◽

Author(s):

Maria Bras-Amorós ◽

Michael E. O’Sullivan

Keyword(s):

Euclidean Algorithm ◽

Reed Solomon Codes ◽

Download Full-text

Efficient decoding of Reed-Solomon codes beyond half the minimum distance

IEEE Transactions on Information Theory ◽

10.1109/18.817522 ◽

2000 ◽

Vol 46 (1) ◽

pp. 246-257 ◽

Author(s):

R.M. Roth ◽

G. Ruckenstein

Keyword(s):

Minimum Distance ◽

Reed Solomon Codes ◽

Efficient Decoding

Download Full-text

Complete decoding of doubly-extended Reed-Solomon codes of minimum distance 5 and 6

Discrete Applied Mathematics ◽

10.1016/0166-218x(91)90110-i ◽

1991 ◽

Vol 33 (1-3) ◽

pp. 95-107

Author(s):

Arne Dür

Keyword(s):

Minimum Distance ◽

Reed Solomon Codes

Download Full-text

Some quantum MDS codes with large minimum distance from generalized Reed-Solomon codes

Cryptography and Communications ◽

10.1007/s12095-017-0274-1 ◽

2017 ◽

Vol 10 (6) ◽

pp. 1165-1182 ◽

Author(s):

Xueying Shi ◽

Qin Yue ◽

Yaotsu Chang

Keyword(s):

Minimum Distance ◽

Mds Codes ◽

Reed Solomon Codes ◽

Quantum Mds Codes

Download Full-text

Decoding of reed-solomon codes beyond the bch bound using euclidean algorithm

Electronics and Communications in Japan (Part III Fundamental Electronic Science) ◽

10.1002/ecjc.4430790310 ◽

1996 ◽

Vol 79 (3) ◽

pp. 94-110

Author(s):

Toshio Horiguchi

Keyword(s):

Euclidean Algorithm ◽

Reed Solomon Codes ◽

Download Full-text

On Multisequence Shift Register Synthesis and Generalized-Minimum-Distance Decoding of Reed-Solomon Codes

Finite Fields and Their Applications ◽

10.1006/ffta.1995.1035 ◽

1995 ◽

Vol 1 (4) ◽

pp. 440-457 ◽

Author(s):

N. Kamiya

Keyword(s):

Minimum Distance ◽

Shift Register ◽

Reed Solomon Codes

Download Full-text

Efficient architecture for generalized minimum-distance decoder of Reed-Solomon codes

2010 IEEE International Conference on Acoustics, Speech and Signal Processing ◽

10.1109/icassp.2010.5495501 ◽

2010 ◽

Author(s):

Jiangli Zhu ◽

Xinmiao Zhang

Keyword(s):

Minimum Distance ◽

Reed Solomon Codes

Download Full-text

Efficient Generalized Minimum-distance Decoders of Reed-Solomon Codes

Journal of Signal Processing Systems ◽

10.1007/s11265-011-0600-3 ◽

2011 ◽

Vol 66 (3) ◽

pp. 245-257 ◽

Author(s):

Jiangli Zhu ◽

Xinmiao Zhang

Keyword(s):

Minimum Distance ◽

Reed Solomon Codes

Download Full-text