1、

Power Analysis Resistant Method for Scalar Multiplication Based on Randomized Mixed Coordinates

一种基于随机混合坐标表示的防功耗分析标量乘法实现方法

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2、

Compared with the existing schemes without suffering from key escrow, ours achieves higher efficiency since the signing algorithm needs only one scalar multiplication in the additive group while the reverse operation requires only three scalar multiplications. 4.

与已有的无密钥托管的签名方案相比,我们的方案实施效率高:签名算法只需要1个加法群上的标量乘运算,而验证算法仅需3个标量乘运算。

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3、

Fifthly, the paper particularizes the hardware design of ECC core modules, which includes the operation model of finite field that can operate multiplicate or inverse independently and the model of the elliptic curve scalar multiplication which combines Booth code with amended DA arithmetic;

第五,详细介绍了椭圆曲线密码芯片中核心模块的硬件设计,其中主要包括可以独立进行乘法和求逆的有限域运算模块,及应用Booth编码与改进DA算法相结合的椭圆曲线标量乘法器;

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4、

firstly i present the basic mathematics of elliptic curves, and then present the elliptic curves defined on two finite fields, and then present the encryption schemas based on elliptic curves. then i present the studies on improving scalar multiplication.

本文首先简要地介绍了椭圆曲线的数学基础、两种有限域上的椭圆曲线,基于椭圆曲线的密码体制,以及国内外改进椭圆曲线上数乘运算的现状。

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5、

naf-2k method proposed in the paper is also applied to scalar multiplication algorithm in ccc.

本文提出的NAF-2k进制方法也应用到圆锥曲线数乘算法中。

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6、

Divisor scalar multiplication is the key operation in hyperelliptic curve cryptosystem.

除子标量乘是超椭圆曲线密码体制中的关键运算.

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7、

Studies scalar multiplication algorithms to speed up the elliptic curve cryptosystem.

研究椭圆曲线加密体系中的数乘运算.

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8、

The fast implementation of elliptic curve cryptosystems relies on the efficient computation of scalar multiplication.

椭圆曲线密码体制的实现速度依赖于曲线上标量乘法的运算速度.

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9、

Fast scalar multiplication on family of supersingular elliptic curves in characteristic 2 and 3 is discussed.

研究了特征为2和3的域上的超奇异椭圆曲线的快速标量乘法.

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10、

Especially, the power attack is very severe for the security of scalar multiplication on Elliptic Curve.

本文主要研究了标量乘运算在能量攻击下的安全性和效率,旨在给出快速安全的标量乘算法.

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11、

Multiplication of a vector by a scalar.

纯量与向量相乘.

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