CRYPTOSYSTEMS

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Cryptanalysis of Cryptosystems Based on General Linear Group被引量：1
《China Communications》2016年第6期217-224,共8页Jianwei Jia Jinhui Liu Huanguo Zhang 
supported in part by the National Natural Science Foundation of China(Grant Nos.61303212,61170080,61202386);the State Key Program of National Natural Science of China(Grant Nos.61332019,U1135004);the Major Research Plan of the National Natural Science Foundation of China(Grant No.91018008);Major State Basic Research Development Program of China(973 Program)(No.2014CB340600);the Hubei Natural Science Foundation of China(Grant Nos.2011CDB453,2014CFB440)
Advances in quantum computers threaten to break public key cryptosystems such as RSA, ECC, and EIGamal on the hardness of factoring or taking a discrete logarithm, while no quantum algorithms are found to solve certai...
关键词：CRYPTOGRAPHY post quantum computational cryptography CRYPTANALYSIS non-abelian algebraic structures linear equations 
Isomorphism classes of hyperelliptic curves of genus 2 over finite fields with characteristic 2被引量：5
《Science China Mathematics》2006年第2期173-184,共12页DENG Yingpu LIU Mulan 
supported by the National Natural Science Foundation of China(Grant Nos.10501049&90304012);973 Project(Grant No.2004CB318000).
In this paper we study the computation of the number of isomorphism classes of hyperelliptic curves of genus 2 over finite fields Fq with q even. We show the formula of the number of isomorphism classes, that is, for ...
关键词：hyperelliptic CURVES hyperelliptic curve CRYPTOSYSTEMS JACOBIAN GROUPS ISOMORPHISM classes. 
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