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The 2-adic CM method for genus 2 curves with application ...
International Association for Cryptologic Research (IACR)
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International Association for Cryptologic Research (IACR)
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由 P Gaudry 著作被引用 76 次 — The first phase of the CM method constructs the Igusa class polynomials for CM genus two curves, which determine the triples (j1,j2,j3) of invariants of curves ...
The 2-Adic CM Method for Genus 2 Curves with ...
Springer
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由 P Gaudry 著作2006被引用 76 次 — We have thus designed a new algorithm for the construction of CM invariants of genus 2 curves, using 2-adic lifting of an input curve over a small finite field.
(PDF) The 2-Adic CM Method for Genus 2 Curves with ...
ResearchGate
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ResearchGate
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2024年12月7日 — The complex multiplication (CM) method for genus 2 is currently the most efficient way of generating genus 2 hyperelliptic curves defined ...
The 2-Adic CM Method for Genus 2 Curves with ...
International Association for Cryptologic Research (IACR)
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International Association for Cryptologic Research (IACR)
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The 2-Adic CM Method for Genus 2 Curves with Application to Cryptography. Authors: Pierrick Gaudry · T. Houtmann · David Kohel · Christophe Ritzenthaler · A.
The 2-adic CM method for genus 2 curves with application to ...
mémSIC
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The complex multiplication (CM) method for genus 2 is currently the most efficient way of generating genus 2 hyperelliptic curves defined over large prime ...
The 2-Adic CM Method for Genus 2 Curves with Application to ...
OUCI
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The 2-Adic CM Method for Genus 2 Curves with Application to Cryptography ... Computing the 2-Adic Canonical Lift of Genus 2 Curves. Abdoulaye Maïga, Damien ...
Computing the 2-adic Canonical Lift of Genus 2 Curves
Hal-Inria
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Hal-Inria
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由 A Maiga 著作2021被引用 1 次 — “The 2-adic. CM method for genus 2 curves with application to cryptography”. In: International. Conference on the Theory and Application of ...
(PDF) The $p$-adic CM-method for genus 2
ResearchGate
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ResearchGate
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PDF | We present a nonarchimedian method to construct hyperelliptic CM-curves of genus 2. | Find, read and cite all the research you need on ResearchGate.
A CM construction for curves of genus 2 with p-rank 1
ScienceDirect.com
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ScienceDirect.com
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由 LH O'Connor 著作2011被引用 7 次 — Houtmann, D. Kohel, C. Ritzenthaler, A. Weng. The 2-adic CM method for genus 2 curves with application to cryptography. Advances in Cryptology - ASIACRYPT 2006, ...
Examples of CM curves of genus two defined over ...
Cambridge University Press & Assessment
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Cambridge University Press & Assessment
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由 F Bouyer 著作2015被引用 36 次 — , 'The 2-adic CM method for genus 2 curves with application to cryptography', Advances in cryptology – ASIACRYPT 2006 , Lecture Notes in Computer Science ...