The dual minimum distance of arbitrary-dimensional algebraic–geometric codes

Journal of Algebra ◽

10.1016/j.jalgebra.2011.09.030 ◽

2012 ◽

Vol 350 (1) ◽

pp. 84-107 ◽

Author(s):

Alain Couvreur

Keyword(s):

Minimum Distance ◽

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 ◽

Author(s):

R. Kotter

Keyword(s):

Minimum Distance ◽

Algebraic Geometric Codes ◽

Geometric Codes

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Floor type bound for the minimum distance of generalized algebraic geometric codes

Journal of Pure and Applied Algebra ◽

10.1016/j.jpaa.2015.06.004 ◽

2016 ◽

Vol 220 (1) ◽

pp. 175-179

Author(s):

Seungkook Park

Keyword(s):

Minimum Distance ◽

Algebraic Geometric Codes ◽

Geometric Codes

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Generation of matrices for determining minimum distance and decoding of algebraic-geometric codes

IEEE Transactions on Information Theory ◽

10.1109/18.476243 ◽

1995 ◽

Vol 41 (6) ◽

pp. 1703-1708 ◽

Author(s):

Ba-Zhong Shen ◽

K.K. Tzeng

Keyword(s):

Minimum Distance ◽

Algebraic Geometric Codes ◽

Geometric Codes

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Fast decoding of algebraic-geometric codes up to the designed minimum distance

IEEE Transactions on Information Theory ◽

10.1109/18.476240 ◽

1995 ◽

Vol 41 (6) ◽

pp. 1672-1677 ◽

Author(s):

S. Sakata ◽

J. Justesen ◽

Y. Madelung ◽

H.E. Jensen ◽

T. Hoholdt

Keyword(s):

Minimum Distance ◽

Algebraic Geometric Codes ◽

Fast Decoding ◽

Geometric Codes

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Decoding algebraic-geometric codes up to the designed minimum distance

IEEE Transactions on Information Theory ◽

10.1109/18.179340 ◽

1993 ◽

Vol 39 (1) ◽

pp. 37-45 ◽

Author(s):

G.-L. Feng ◽

T.R.N. Rao

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 ◽

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 ◽

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 ◽

Author(s):

S. Sakata ◽

Y. Numakami ◽

M. Fujisawa

Keyword(s):

Interpolation Method ◽

List Decoding ◽

Algebraic Geometric Codes ◽

Geometric Codes

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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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Algebraic-geometric codes and asymptotic problems

Discrete Applied Mathematics ◽

10.1016/0166-218x(91)90120-l ◽

1991 ◽

Vol 33 (1-3) ◽

pp. 241-256 ◽

Author(s):

Michael A. Tsfasman

Keyword(s):

Algebraic Geometric Codes ◽

Asymptotic Problems ◽

Geometric Codes

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