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目前基于椭圆曲线的数字签名算法是信息安全领域的研究热点之一,用硬件实现数字签名有着广泛的应用前景。首先阐述了有限域上的椭圆曲线数字签名方案,其中标量乘运算是影响算法执行效率的一个重要因素。变长滑动窗口法是指窗口的长度随着窗口中元素的具体划分而改变,因此提出用NAF和变长滑动窗口相结合的方法大大减少点加运算次数,并将其应用于基于TMS320VC5402的椭圆曲线数字签名。结果表明,签名运算速度得到很大的提高。
At present, the digital signature algorithm based on elliptic curve is one of the hot topics in the field of information security. It has a wide range of application prospects in hardware to achieve digital signature. Firstly, the elliptic curve digital signature scheme over finite field is expounded. Scalar multiplication is an important factor that affects the efficiency of the algorithm. The variable length sliding window method means that the length of the window changes with the specific division of the elements in the window. Therefore, the method combining NAF and variable-length sliding window is proposed to reduce the number of point addition operations greatly and apply it to the ellipse based on TMS320VC5402 Curve digital signature. The results show that the speed of signature computation is greatly improved.