搜索结果: 1-8 共查到“军事学 Isogeny graphs”相关记录8条 . 查询时间(0.049 秒)
Towards practical key exchange from ordinary isogeny graphs
post-quantum cryptography key exchange elliptic curves
2018/5/28
We revisit the ordinary isogeny-graph based cryptosystems of Couveignes and Rostovtsev–Stolbunov, long dismissed as impractical. We give algorithmic improvements that accelerate key exchange in this f...
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 ISOGENY GRAPHS OF SUPERSINGULAR ELLIPTIC CURVES OVER FINITE FIELDS
foundations Supersingular isogeny graphs
2018/2/8
We study the isogeny graphs of supersingular elliptic curves over finite fields, with an emphasis on the vertices corresponding to elliptic curves of jj-invariant 0 and 1728.
Faster Cryptographic Hash Function From Supersingular Isogeny Graphs
Cryptographic hash functions Supersingular elliptic curves Isogeny graphs
2017/12/19
Faster Cryptographic Hash Function From Supersingular Isogeny Graphs.
Hard and easy problems for supersingular isogeny graphs
isogeny-based cryptography cryptanalysis
2017/10/9
We consider the endomorphism ring computation problem for supersingular elliptic curves, constructive versions of Deuring's correspondence, and the security of Charles-Goren-Lauter's cryptographic has...
Horizontal isogeny graphs of ordinary abelian varieties and the discrete logarithm problem
Isogeny expander graph hyperelliptic curve cryptography
2017/2/20
Fix an ordinary abelian variety defined over a finite field. The ideal class group of its endomorphism ring acts freely on the set of isogenous varieties with same endomorphism ring, by complex multip...
Isogeny graphs of ordinary abelian varieties
Jacobians of hyperelliptic curves genus 2 cryptography isogeny graphs
2016/12/8
Fix a prime number ГГ. Graphs of isogenies of degree a power of ГГ are well-understood for elliptic curves, but not for higher-dimensional abelian varieties. We study the case of absolutely simple ord...
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 ...