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An isogeny graph is a graph whose vertices are principally polarized abelian varieties and whose edges are isogenies between these varieties. In his thesis, Kohel describes the structure of isogeny ...
Counting Points on Genus 2 Curves with Real Multiplication
2 Curves Real Multiplication Counting Points
2011/7/25
We present an accelerated Schoof-type point-counting algorithm for curves of genus 2 equipped with an efficiently computable real multiplication endomorphism.
We present an accelerated Schoof-type point-counting algorithm for curves of genus 2 equipped with an efficiently computable real multiplication endomorphism. Our new algorithm reduces the complexity ...
Counting Points on Genus 2 Curves with Real Multiplication
finite field algorithm prime-order Jacobian
2011/6/3
We present an accelerated Schoof-type point-counting algorithm for curves of genus 2 equipped with an efficiently computable real multiplication endomorphism. Our new algorithm reduces the complexity ...