Using symmetries in the index calculus for elliptic curves discrete logarithm
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Publication:484325
DOI10.1007/s00145-013-9158-5zbMath1320.94063OpenAlexW2028957991MaRDI QIDQ484325
Pierrick Gaudry, Louise Huot, Jean-Charles Faugère, Guénaël Renault
Publication date: 7 January 2015
Published in: Journal of Cryptology (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00145-013-9158-5
elliptic curvesEdwards curvesECDLPGröbner basis with symmetriesindex calculusJacobi intersection curvespoint decomposition problem
Cryptography (94A60) Elliptic curves (14H52) Applications to coding theory and cryptography of arithmetic geometry (14G50)
Related Items
On index calculus algorithms for subfield curves, The point decomposition problem over hyperelliptic curves, Toward efficient computation of discrete logarithms in even characteristic, Summation Polynomial Algorithms for Elliptic Curves in Characteristic Two, Covariant algebra of the binary nonic and the binary decimic, Index calculus in the trace zero variety, Recent progress on the elliptic curve discrete logarithm problem, Sparse FGLM algorithms, On the discrete logarithm problem for prime-field elliptic curves, On the complexity of computing Gröbner bases for weighted homogeneous systems
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