The theta divisor of a jacobian variety and the decoding of geometric Goppa codes

Journal of Pure and Applied Algebra ◽

10.1016/0022-4049(95)00008-9 ◽

1996 ◽

Vol 112 (1) ◽

pp. 13-28 ◽

Author(s):

Thierry Henocq ◽

Denis Rotillon

Keyword(s):

Jacobian Variety ◽

Goppa Codes ◽

Theta Divisor ◽

Geometric Goppa Codes

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On Geometric Goppa Codes from Elementary Abelian p-Extensions of $${{\mathbb{F}}}_{{p}^{s}}(x)$$

Problems of Information Transmission ◽

10.1134/s0032946020030035 ◽

2020 ◽

Vol 56 (3) ◽

pp. 253-269

Author(s):

N. Patanker ◽

S. K. Singh

Keyword(s):

Goppa Codes ◽

Geometric Goppa Codes

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On automorphisms of geometric Goppa codes

Journal of Algebra ◽

10.1016/0021-8693(90)90104-v ◽

1990 ◽

Vol 130 (1) ◽

pp. 113-121 ◽

Author(s):

Henning Stichtenoth

Keyword(s):

Goppa Codes ◽

Geometric Goppa Codes

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Effective construction of self-dual geometric Goppa codes

Proceedings of 1995 IEEE International Symposium on Information Theory ◽

10.1109/isit.1995.531304 ◽

2002 ◽

Author(s):

G. Hache

Keyword(s):

Goppa Codes ◽

Construction Of Self ◽

Geometric Goppa Codes

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Decoding geometric Goppa codes up to designed minimum distance by solving a key equation in a ring

Proceedings of 1994 IEEE International Symposium on Information Theory ◽

10.1109/isit.1994.394817 ◽

2002 ◽

Author(s):

B.-Z. Shen ◽

K.K. Tseng

Keyword(s):

Minimum Distance ◽

Goppa Codes ◽

Key Equation ◽

Geometric Goppa Codes

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Bounds on the state complexity of geometric Goppa codes

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

10.1109/isit.2000.866465 ◽

2002 ◽

Author(s):

T. Blackmore ◽

G.H. Norton

Keyword(s):

The State ◽

Goppa Codes ◽

State Complexity ◽

Geometric Goppa Codes

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On the weight hierarchy of geometric Goppa codes

IEEE Transactions on Information Theory ◽

10.1109/18.335903 ◽

1994 ◽

Vol 40 (3) ◽

pp. 913-920 ◽

Author(s):

Kyeongcheol Yang ◽

P.V. Kumar ◽

H. Stichtenoth

Keyword(s):

Goppa Codes ◽

Geometric Goppa Codes ◽

Weight Hierarchy

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Decoding Geometric Goppa Codes

Codes on Algebraic Curves ◽

10.1007/978-1-4615-4785-3_12 ◽

1999 ◽

pp. 289-314

Author(s):

Serguei A. Stepanov

Keyword(s):

Goppa Codes ◽

Geometric Goppa Codes

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Decoding geometric Goppa codes up to designed minimum distance by solving a key equation in a ring

IEEE Transactions on Information Theory ◽

10.1109/18.476242 ◽

1995 ◽

Vol 41 (6) ◽

pp. 1694-1702 ◽

Author(s):

Ba-Zhong Shen ◽

K.K. Tzeng

Keyword(s):

Minimum Distance ◽

Goppa Codes ◽

Key Equation ◽

Geometric Goppa Codes

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Systematic encoding via Grobner bases for a class of algebraic-geometric Goppa codes

IEEE Transactions on Information Theory ◽

10.1109/18.476247 ◽

1995 ◽

Vol 41 (6) ◽

pp. 1752-1761 ◽

Author(s):

C. Heegard ◽

J. Little ◽

K. Saints

Keyword(s):

Gröbner Bases ◽

Grobner Bases ◽

Goppa Codes ◽

Geometric Goppa Codes ◽

Systematic Encoding

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Decoding geometric Goppa codes using an extra place

IEEE Transactions on Information Theory ◽

10.1109/18.165441 ◽

1992 ◽

Vol 38 (6) ◽

pp. 1663-1676 ◽

Author(s):

S.C. Porter ◽

B.-Z. Shen ◽

R. Pellikaan

Keyword(s):

Goppa Codes ◽

Geometric Goppa Codes

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