【modular_curve】什么意思_英语modular_curve的翻译_音标_读音_用法_例句_在线翻译

Modular curve

[数] 模曲线

模空间（moduli space）尤其是模曲线 （modular curve）在复几何（complex geometry）、代数几何（algebraic geometry）或者是数论（number theory）一直都是最重要的主题之一。

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数学

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abstract: In number theory and algebraic geometry, a modular curve Y(Γ) is a Riemann surface, or the corresponding algebraic curve, constructed as a quotient of the complex upper half-plane H by the action of a congruence subgroup Γ of the modular group of integral 2×2 matrices SL(2, Z). The term modular curve can also be used to refer to the compactified modular curves X(Γ) which are compactifications obtained by adding finitely many points (called the cusps of Γ) to this quotient (via an action on the extended complex upper-half plane).

以上来源于: WordNet

In these public key cryptographic algorithms, the kernel operations are modular exponentiation of multi-precision integer and elliptic curve scalar multiplication, which both are computing intensive.

这些公钥密码算法的关键操作为大整数模幂乘操作与椭圆曲线标量乘法操作，均属于计算密集型运算。

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To accelerate point multiplication operation of elliptic curve cryptography(ECC), a fast reduction algorithm for modular operation was introduced.

为了提高椭圆曲线密码（ECC）的点乘运算速度，提出了一种快速约简求模算法。

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Analysis of finite field modular multiplication requirement of Elliptic Curve Cryptography (ECC), the application specific instruction for modular multiplication computation is designed in this paper.

针对椭圆曲线密码算法中有限域模乘运算的需求，提出其专用模乘指令。

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