Relative Generalized Hamming Weights of One-Point Algebraic Geometric Codes

Olav Geil; Stefano Martin; Ryutaroh Matsumoto; Diego Ruano;  Yuan Luo

doi:10.1109/tit.2014.2345375

Relative Generalized Hamming Weights of One-Point Algebraic Geometric Codes

IEEE Transactions on Information Theory ◽

10.1109/tit.2014.2345375 ◽

2014 ◽

Vol 60 (10) ◽

pp. 5938-5949 ◽

Cited By ~ 25

Author(s):

Olav Geil ◽

Stefano Martin ◽

Ryutaroh Matsumoto ◽

Diego Ruano ◽

Yuan Luo

Keyword(s):

Algebraic Geometric Codes ◽

Generalized Hamming Weights ◽

Hamming Weights ◽

Geometric Codes

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Explicit Computation of Generalized Hamming Weights for Some Algebraic Geometric Codes

Advances in Applied Mathematics ◽

10.1006/aama.1998.0591 ◽

1998 ◽

Vol 21 (1) ◽

pp. 124-145 ◽

Cited By ~ 1

Author(s):

Hao Chen ◽

Hing Sun Luk ◽

Stephen Yau

Keyword(s):

Explicit Computation ◽

Algebraic Geometric Codes ◽

Generalized Hamming Weights ◽

Hamming Weights ◽

Geometric Codes

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Relative generalized Hamming weights of one-point algebraic geometric codes

2014 IEEE Information Theory Workshop (ITW 2014) ◽

10.1109/itw.2014.6970808 ◽

2014 ◽

Cited By ~ 2

Author(s):

Olav Geil ◽

Stefano Martin ◽

Ryutaroh Matsumoto ◽

Diego Ruano ◽

Yuan Luo

Keyword(s):

Algebraic Geometric Codes ◽

Generalized Hamming Weights ◽

Hamming Weights ◽

Geometric Codes

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GENERALIZED HAMMING WEIGHTS OF DUALS OF ALGEBRAIC-GEOMETRIC CODES

International Journal of Pure and Apllied Mathematics ◽

10.12732/ijpam.v97i2.13 ◽

2014 ◽

Vol 97 (2) ◽

Author(s):

E. Ballico

Keyword(s):

Algebraic Geometric Codes ◽

Generalized Hamming Weights ◽

Hamming Weights ◽

Geometric Codes

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On the generalized Hamming weights of cyclic codes

IEEE Transactions on Information Theory ◽

10.1109/18.567719 ◽

1997 ◽

Vol 43 (1) ◽

pp. 299-308 ◽

Cited By ~ 7

Author(s):

H. Janwa ◽

A.K. Lal

Keyword(s):

Cyclic Codes ◽

Generalized Hamming Weights ◽

Hamming Weights

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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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Generalized Hamming weights of convolutional codes

Proceedings of 1995 IEEE International Symposium on Information Theory ◽

10.1109/isit.1995.531511 ◽

2002 ◽

Author(s):

J. Rosenthal ◽

E. Von York

Keyword(s):

Convolutional Codes ◽

Generalized Hamming Weights ◽

Hamming Weights

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Improvements on Generalized Hamming Weights of Some Trace Codes

Designs Codes and Cryptography ◽

10.1007/s10623-005-3394-0 ◽

2006 ◽

Vol 39 (2) ◽

pp. 215-231 ◽

Cited By ~ 4

Author(s):

Cem Güneri ◽

Ferruh Özbudak

Keyword(s):

Generalized Hamming Weights ◽

Trace Codes ◽

Hamming Weights

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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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