搜索结果: 1-9 共查到“军事学 Quaternion”相关记录9条 . 查询时间(0.093 秒)
On the quaternion $\ell$-isogeny path problem
quaternion Г-isogeny path problem number theory
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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
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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
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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
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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
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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
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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
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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
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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
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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 ...