Alternant and Algebraic Geometric Codes

A Course in Algebraic Error-Correcting Codes - Compact Textbooks in Mathematics ◽

10.1007/978-3-030-41153-4_7 ◽

2020 ◽

pp. 105-121

Author(s):

Simeon Ball

Keyword(s):

Algebraic Geometric Codes ◽

Geometric Codes

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Efficient generalized minimum distance decoding of algebraic geometric codes

Proceedings of 1994 IEEE International Symposium on Information Theory ◽

10.1109/isit.1994.394824 ◽

2002 ◽

Cited By ~ 1

Author(s):

R. Kotter

Keyword(s):

Minimum Distance ◽

Algebraic Geometric Codes ◽

Geometric Codes

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A fast parallel implementation of a Berlekamp-Massey algorithm for algebraic-geometric codes

IEEE Transactions on Information Theory ◽

10.1109/18.681314 ◽

1998 ◽

Vol 44 (4) ◽

pp. 1353-1368 ◽

Cited By ~ 26

Author(s):

R. Kotter

Keyword(s):

Parallel Implementation ◽

Algebraic Geometric Codes ◽

Geometric Codes

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A displacement approach to efficient decoding of algebraic-geometric codes

Proceedings of the thirty-first annual ACM symposium on Theory of computing - STOC '99 ◽

10.1145/301250.301311 ◽

1999 ◽

Cited By ~ 10

Author(s):

Vadim Olshevsky ◽

M. Amin Shokrollahi

Keyword(s):

Algebraic Geometric Codes ◽

Displacement Approach ◽

Geometric Codes ◽

Efficient Decoding

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A fast interpolation method for list decoding of RS and algebraic-geometric codes

2000 IEEE International Symposium on Information Theory (Cat. No.00CH37060) ◽

10.1109/isit.2000.866777 ◽

2002 ◽

Cited By ~ 2

Author(s):

S. Sakata ◽

Y. Numakami ◽

M. Fujisawa

Keyword(s):

Interpolation Method ◽

List Decoding ◽

Algebraic Geometric Codes ◽

Geometric Codes

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Algebraic-geometric codes and asymptotic problems

Discrete Applied Mathematics ◽

10.1016/0166-218x(91)90120-l ◽

1991 ◽

Vol 33 (1-3) ◽

pp. 241-256 ◽

Cited By ~ 21

Author(s):

Michael A. Tsfasman

Keyword(s):

Algebraic Geometric Codes ◽

Asymptotic Problems ◽

Geometric Codes

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Optimal rate list decoding of folded algebraic-geometric codes over constant-sized alphabets

Proceedings of the Twenty-Fifth Annual ACM-SIAM Symposium on Discrete Algorithms ◽

10.1137/1.9781611973402.134 ◽

2013 ◽

Cited By ~ 5

Author(s):

Venkatesan Guruswami ◽

Chaoping Xing

Keyword(s):

Optimal Rate ◽

List Decoding ◽

Algebraic Geometric Codes ◽

Geometric Codes

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Algebraic-Geometric Codes

Non-Binary Error Control Coding for Wireless Communication and Data Storage ◽

10.1002/9780470740415.ch4 ◽

2008 ◽

pp. 109-145

Keyword(s):

Algebraic Geometric Codes ◽

Geometric Codes

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On Representations of Algebraic-Geometric Codes for List Decoding

Algorithms - ESA 2000 - Lecture Notes in Computer Science ◽

10.1007/3-540-45253-2_23 ◽

2000 ◽

pp. 244-255

Author(s):

Venkatesan Guruswami ◽

Madhu Sudan

Keyword(s):

List Decoding ◽

Algebraic Geometric Codes ◽

Geometric Codes

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A low complexity algorithm for the construction of algebraic geometric codes better than the Gilbert-Varshamov bound

Proceedings. 2001 IEEE International Symposium on Information Theory (IEEE Cat. No.01CH37252) ◽

10.1109/isit.2001.936173 ◽

2002 ◽

Cited By ~ 2

Author(s):

K. Shum ◽

P.V. Kumar ◽

I. Aleshnikov ◽

H. Stichtenoth ◽

V. Deolalikar

Keyword(s):

Low Complexity ◽

Algebraic Geometric Codes ◽

Geometric Codes ◽

Complexity Algorithm ◽

Better Than

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On algebraic geometric codes from singular projective curves over GF(2/sup m/)

Proceedings of 1994 IEEE International Symposium on Information Theory ◽

10.1109/isit.1994.394815 ◽

2002 ◽

Author(s):

O. Moreno ◽

V.A. Zinoviev ◽

D.V. Zinoviev ◽

D. Polemi

Keyword(s):

Algebraic Geometric Codes ◽

Projective Curves ◽

Geometric Codes

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