Hard and soft-decision list decoding of AG codes using Grobner basis solutions of constrained interpolations

2003 ◽  
Author(s):  
H. O'Keeffe ◽  
P. Fitzpatrick
Keyword(s):  
Gröbner Basis ◽  
List Decoding ◽  
Soft Decision ◽  
Grobner Basis ◽  
Ag Codes

scholarly journals List decoding codes on Garcia–Stictenoth tower using Gröbner basis

2009 ◽  
Vol 44 (12) ◽  
pp. 1657-1661
Author(s):  
M. Prem Laxman Das ◽  
Kripasindhu Sikdar
Keyword(s):  
Gröbner Basis ◽  
List Decoding ◽  
Grobner Basis

scholarly journals On the first fall degree of summation polynomials

2019 ◽  
Vol 13 (3-4) ◽  
pp. 229-237
Author(s):  
Stavros Kousidis ◽  
Andreas Wiemers
Keyword(s):  
Elliptic Curve ◽  
Gröbner Basis ◽  
Discrete Logarithm ◽  
Polynomial Systems ◽  
Discrete Logarithm Problem ◽  
Grobner Basis ◽  
Weil Descent ◽  
Degree Bound

Abstract We improve on the first fall degree bound of polynomial systems that arise from a Weil descent along Semaev’s summation polynomials relevant to the solution of the Elliptic Curve Discrete Logarithm Problem via Gröbner basis algorithms.

scholarly journals On the relation between the MXL family of algorithms and Gröbner basis algorithms

2012 ◽  
Vol 47 (8) ◽  
pp. 926-941 ◽  
Author(s):  
Martin R. Albrecht ◽  
Carlos Cid ◽  
Jean-Charles Faugère ◽  
Ludovic Perret
Keyword(s):  
Gröbner Basis ◽  
Grobner Basis
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