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There are two applications to the RB.One is array processing and the other is quaternion finite field transform. 双复数有两种运用，一个用在阵列信号处理，另一个则用在四元有限场转换。
A fast finite field multiplier is proposed in this paper. 提出了一种快速有限域乘法器结构。
Zhang Muxiang,Xiao Guozhen.Structure of invertible linear transform with convolution property in finite field[J].Acta Electronica Sinica,1994,22(4):20-23. [2]张木想;肖国镇.;有限域上具有卷积性质的可逆线性变换的结构[J]
Associate professor Gong-ping is teaching"Technology of low yield field transform into high yield field". 龚平副教授讲授“中低产田改造技术”知识。
The Polynomial-Basis Multiplier in the finite field is the key module to realizing ECC basic operations. 有限域上的多项式乘法器是实现ECC底层运算的关键模块。
Polynomial Transform Over Finite Field 有限域上的多项式变换
Light Field Transformation by Paraboloidal Mirror[J]. 引用该论文鄂国銧.
Hardware implementation for the all-erasure RS decoder is proposed, including the finite field arithmetic operation units. 本文并提出纯粹抹除式里德所罗门解码器的硬体实现，包括有限体中的算数运算模组。
To simplify reduction modulo, special polynomials are used to generate finite field GF(2m), such as AOP (all one polynomials) and trinomials. 为了简化模不可约多项式f(x)运算,采用特殊多项式AOP(allonepolynomials)和三项式,产生有限域GF(2m)。
A new high regular structure of partial parallel multiplier for irreducible trinomial generated finite field is proposed. 摘要提出了一类新的具有高度规则性的部分并行三项式有限域乘法器架构。
The finite field arithmetic, elliptic curve scalar multiplication and the related algorithms are investigated in this dissertation. 本文主要研究有限域运算算法和椭圆曲线数乘运算算法。
In this paper we give a classification of elliptic curves over finite field Fp by the cardinality of elliptic curves and deduce some properties. 在这篇文章里;我们利用椭圆曲线的阶给出了椭圆曲线的一个分类;并推导出一些性质.
XTR is a new public key system based on a method to represent elements of a subgroup of a multiplicative group of a finite field. XTR是一种新的基于有限域的乘法群的子群中元素迹的紧致表示的公钥密码体制。
This processor that has choice parameter and high speed can apply to discretional elliptic curve based on finite field GF(m) with m less than 256. 该芯片可以支持m小于256的GF(m)域上任意可变曲线的ECC公钥密码算法，是一种系统参数可选择的高速椭圆曲线密码芯片。
The computational intractability of the Elliptic Curve Discrete Logarithm Problem (ECDLP) over a finite field enhances security of the scheme. 利用有限域上椭圆曲线点群中的离散对数问题的难解性来增强协议的安全性。
The base that using elliptic curves as public key cryptosystem is because of the point set of elliptic curve on finite field can construct Abelian group. 使用椭圆曲线作为公钥密码体制的基础,是定义在有限域上椭圆曲线上的点构成的阿贝尔群,并且使定义其上的离散对数问题的求解非常困难。
Finally, a totally new multiplication algorithms in finite field GF(2~n), which is designed according to the sliding-window algorithms used in scalar multiplication in ECC. 本文将原本应用在椭圆曲线标量乘运算中的滑动窗口算法应用到有限域GF(2~n)上的乘法运算中，提出了一种有限域GF(2~n)上乘法运算的新算法。
Obvious effect on degraded insulating oil treatment, field transformer oil treatment when machine electrified. 处理劣化变质的绝缘油效果明显,可现场带电处理各种牌号的变压器油。
Secondly, one construction of Cartesian authentication code from norm form of one class of nilpotent matrices over finite field is presented and its size parameters are computed. 第二部分利用有限域F_q上一类幂零阵的相似标准形，构作了一个笛卡尔认证码，并计算出该码的所有参数。
The elliptic curve discrete logarithm of non singular elliptic curve over finite field has no efficient attack up to now, which made it cannot be widely applied in cryptography. 摘要目前，在有限域上非奇异椭圆曲线离散对数问题还没有有效的攻击方法，使其在加密技术中得到了广泛应用。