搜索结果: 1-5 共查到“军队指挥学 endomorphism rings”相关记录5条 . 查询时间(0.046 秒)
Supersingular isogeny graphs and endomorphism rings: reductions and solutions
post-quantum cryptography isogeny-based cryptography cryptanalysis
2018/4/26
In this paper, we study several related computational problems for supersingular elliptic curves, their isogeny graphs, and their endomorphism rings. We prove reductions between the problem of path fi...
On the Hardness of Computing Endomorphism Rings of Supersingular Elliptic Curves
Supersingular isogeny based cryptography number theory
2017/10/10
Cryptosystems based on supersingular isogenies have been proposed recently for use in post-quantum cryptography. Three problems have emerged related to their hardness: computing an isogeny between two...
Computing endomorphism rings of elliptic curves under the GRH
endomorphism elliptic the GRH
2011/2/23
We design a probabilistic algorithm for computing endomorphism rings of ordinary elliptic curves defined over finite fields that we prove has a subexponential runtime in the size of the base field, as...
Computing endomorphism rings of elliptic curves under the GRH
foundations / endomorphism rings GRH
2012/3/30
We design a probabilistic algorithm for computing endomorphism rings of ordinary elliptic curves defined over finite fields that we prove has a subexponential runtime in the size of the base field, as...
Computing endomorphism rings of Jacobians of genus 2 curves over finite fields
endomorphism rings Jacobians genus 2 curves finite fields
2008/9/22
We present probabilistic algorithms which, given a genus 2 curve
C defined over a finite field and a quartic CM field K, determine whether the
endomorphism ring of the Jacobian J of C is the full ...