And finally here’s the most optimized exponentiation by squaring algorithm I have seen around. It’s an iterative version where at each step you divide the exponent by two and square the base, and then for the iterations where the exponent is odd you multiply the result by the base. In ...
3) Fast modular exponentiation This might be a well-known technique which has been used in RSA cryptosystem. The main idea is that to calculate (a^n)%P, if n is an even number, then we can compute (a^2)^(n/2)%P; while if n is an odd number, we can calculate (a)*(a^2)^(...
Figure 1: Performance of algorithms for batch verification of modular exponentiation. We indicate the number of multiplications each method uses to get error 2 −l . See the text for explanations of the parameters. algorithm with respect to some fixed public key.) The verification proble...
Scalar multiplication, modular exponentiation, and pairing evaluation are in general considered expensive. (iii) Fine-grained revocable. Any one credential of the user can be revoked while leaving his other credentials untouched. In other words, revocation of credentials is on a per-user per-access...
Many tasks in cryptography (e.g., digital signature verification) call for verification of a basic operation like modular exponentiation in some group: given (g, x, y) check that gx = y. This is typically done by re-computing gx and checking we get y. We
The algorithm estimates each p k by repeating the corresponding measurement poly(n) times, thus 1/exp(n) accuracy of φ is reached with total complexity poly(n): C k is efficiently implemented even for k = poly(n) using modular exponentiation to implement exponential powers of U N,y...
This paper proposes a fast parallel Montgomery multiplication algorithm based on Residue Number Systems (RNS). It is easy to construct a fast modular exponentiation by applying the algorithm repeatedly. To realize an efficient RNS Montgomery multiplication, the main contribution of this paper is to pr...
2) Fast modular algorithm 快速模运算3) High speed multiplication and division 快速乘除法运算4) Fast Modular Exponentiation 快速模幂运算5) rapid division 快速除法运算6) fast parallel arithmetic 快速并行运算器补充资料:不定积分的运算法则 又称为“不定积分的性质”,包含如下两个性质: (1)设函数...
NSP algorithm for modular exponentiation; 模幂运算的并行算法NSP 2. In this paper,a new modular exponentiation algorithm named window NAF algorithm is proposed. 将椭圆曲线的定点标量乘的窗口NAF方法应用在模幂运算中,通过采用预处理技术,与SMM算法进行组合得到一种新的求模幂乘算法-窗口NAF方法。
2) Modular Exponentiation of Multi-Precision Integer 大数模幂乘 例句>> 3) large module power multiplication 大数模幂运算 1. Large module multiplication is the kernel oflarge module power multiplicationin RSA. 在RSA算法中,大数模幂运算的核心是大数模乘运算。