weil descent
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scholarly journals Extending the GLS endomorphism to speed up GHS Weil descent using Magma

2021 ◽  
Vol 75 ◽  
pp. 101891
Author(s):  
Jesús-Javier Chi-Domínguez ◽  
Francisco Rodríguez-Henríquez ◽  
Benjamin Smith
Keyword(s):  
Speed Up ◽  
Weil Descent

scholarly journals Differential Weil descent

2021 ◽  
pp. 1-11
Author(s):  
Omar León Sánchez ◽  
Marcus Tressl
Keyword(s):  
Weil Descent

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 last fall degree of zero-dimensional Weil descent systems

2018 ◽  
Vol 87 ◽  
pp. 207-226 ◽  
Author(s):  
Ming-Deh A. Huang ◽  
Michiel Kosters ◽  
Yun Yang ◽  
Sze Ling Yeo
Keyword(s):  
Weil Descent

scholarly journals First fall degree and Weil descent

2014 ◽  
Vol 30 ◽  
pp. 155-177 ◽  
Author(s):  
Timothy J. Hodges ◽  
Christophe Petit ◽  
Jacob Schlather
Keyword(s):  
Weil Descent
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