搜索结果: 1-9 共查到“密码学 quaternion”相关记录9条 . 查询时间(0.082 秒)
On the quaternion $\ell$-isogeny path problem
quaternion Г-isogeny path problem number theory
2016/1/8
Let O be a maximal order in a definite quaternion algebra
over Q of prime discriminant p, and ` a small prime. We describe a
probabilistic algorithm, which for a given left O-ideal, computes a repre...
A Gross-Zagier formula for quaternion algebras over totally real fields
public-key cryptography hyperelliptic curve cryptosystem
2012/6/14
We prove a higher dimensional generalization of Gross and Zagier's theorem on the factorization of differences of singular moduli. Their result is proved by giving a counting formula for the number of...
A Gross-Zagier formula for quaternion algebras over totally real fields
public-key cryptography hyperelliptic curve cryptosystem
2012/3/20
We prove a higher dimensional generalization of Gross and Zagier's theorem on the factorization of differences of singular moduli. Their result is proved by giving a counting formula for the number of...
A Gross-Zagier formula for quaternion algebras over totally real fields
public-key cryptography hyperelliptic curve cryptosystem
2012/8/28
We prove a higher dimensional generalization of Gross and Zagier's theorem on the factorization of differences of singular moduli. Their result is proved by giving a counting formula for the number of...
Key Agreement Protocols Based on Multivariate Algebraic Equations on Quaternion Ring
key agreement protocol multivariable algebraic equation Grö bner bases NP complete problems quaternion
2010/7/14
In this paper we propose new key agreement protocols based on multivariate algebraic equations. We choose the multivariate function F(X) of high degree on non-commutative quaternion ring H over finite...
A Digital Signature Using Multivariate Functions on Quaternion Ring
public-key cryptography digital signature multivariate algebraic equations Grö bner bases attacks quaternion NP complete problems
2010/7/14
We propose the digital signature scheme on non-commutative quaternion ring over finite fields in this paper. We generate the multivariate function of high degree F(X) . We construct the digital signat...
A New Scheme for Zero Knowledge Proof based on Multivariate Quadratic Problem and Quaternion Algebra
Multivariate Quadratic Quaternion Zero Knowledge Proof Authentication
2010/2/20
This paper introduces a new intractable security problem whose
intractability is due to the NP completeness of multivariate quadratic problem. This
novel problem uses quaternion algebra in conjuncti...
QTRU: A Lattice Attack Resistant Version of NTRU PKCS Based on Quaternion Algebra
QTRU NTRU quaternion algebra
2009/8/18
We propose QTRU, a probabilistic and multi-dimensional public key cryptosystem based on
the NTRU public key cryptosystem using quaternion algebra. QTRU encrypts four data vectors
in each encryption ...
QTRU: A Lattice Attack Resistant Version of NTRU PKCS Based on Quaternion Algebra
QTRU NTRU quaternion algebra
2009/7/14
We propose QTRU, a probabilistic and multi-dimensional public-key cryptosystem based on
the NTRU public-key cryptosystem using quaternion algebra. QTRU encrypts four data vectors
in each encryption ...