2 . analyzing each module algorithm of the receiver , and improving the traditional common subexpression elimination ( cse ) algorithm which the fir filter designs based on the canonical signed - digit ( csd ) to enhances the filter the realization speed 2 、对接收机各个模块算法进行分析,确定各模块的实现方式,并改进了基于经典正则带符号码( csd )的共用子模块( cse )算法的fir滤波器设计,以提高滤波器的实现速度。
Ecc is considered to be an alternative to rsa . this article provides a brief description of rsa public key cryptography and the associated knowledge , in particular introduces non - supersingular elliptic curves e which is established on the finite field fp with p > 3 , in - depth studies present existed scalar multiplication , further proposes an improved signed sliding window algorithm on ecc under the mixed coordinates , the improved algorithm compatible the advantage of the naf , has the least number of zero window and avoid a large number of inverse operation , successfully reduce scalar multiplication calculation 本文阐述了椭圆曲线及其相关知识,特别说明了建立在有限域fp (其中p是大于3的素数)上的非奇异椭圆曲线e ,深入研究目前已有的各种标量乘法,由此提出了椭圆曲线密码算法在混合坐标下改进的带符号滑动窗口算法,该算法兼容了naf方法的优点,拥有最少数目的非零窗口数,又避免了域元素上的大量求逆运算,较成功地减少了标量乘法计算量。
Operation layer is the basic core part in elliptic curve encryption system including how to calculate elliptic curve ' s stairs is a large prime or including a large prime gene to ensure elliptic curve to be safe elliptic curve ; in this article safe elliptic curve is chosen by p1363 sae algorithm . besides , how to achieve fast point multiplication will influence the performance efficiency of the whole encryption system ; in this article , for different situations , signed binary method and rolling window method are respectively applied to perform quick operation of elliptic curve ' s point multiplication 运算层是椭圆曲线密码体制实现的最基础、最核心的部分，包括如何来计算椭圆曲线的阶为大素数或含有一个大的素因子，以保证所选取的椭圆曲线为安全椭圆曲线，本文根据ieeep1363协议的sea算法实现了安全椭圆曲线的选取；另外如何实现标量乘的快速运算，将会影响整个密码系统的实现效率，本文根据不同情况对椭圆曲线的标量乘法分别采用了带符号的二进制法和滑动窗口法进行快速运算。
