Modular exponentiationsWeak-key attackCoppersmith's methodPrivacy-preservingSECUREALGORITHMSCOMPUTATIONWe investigate the problem of securely outsourcing the modular exponentiations in cryptography to an untrusted server, and analyze the security and the efficiency of three privacy-preserving outsourcing protocols...
In modern cryptography, exponentiation in modular arithmetic, also known as fast modular exponentiation, is often much needed. It is important to calculate cdmodm, where c,d, and m are very large integers. Computing cd and then dividing it by m to determine its remainder is totally impractical...
Modular exponentiationis a type ofexponentiation取幂,求幂;乘方 performed over amodulus模数,系数. It is useful incomputer science, especially in the field ofpublic-key cryptography. The operation of modular exponentiation calculates the remainder when an integerb底数(the base) raised to theeth power ...
The importance of efficient multi-exponentiation algorithms in a large spectrum of cryptographic applications continues to grow. Previous literature on the subject pays attention exclusively on the minimization of the number of modular multiplications. However, a small reduction of the multiplicative complexi...
1.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。 英文短句/例...
US6973190 2000年10月26日 2005年12月6日 Cp8 Technologies Method for protecting an electronic system with modular exponentiation-based cryptography against attacks by physical analysisGoubin, L.: Method for protecting an electronic system with modular exponentiation-based cryptography against attacks by ...
Cryptography is a technique that is being employed. This paper takes a look at an important aspect of the public key encryption scheme, the modular exponentiation tech-nique, with the view of optimizing it. Taking a look at some public key encryption schemes, it would be observed that the ...
4) modular exponentiation 模幂乘运算 1. Arming at the complicated large modular exponentiation of public-key cryptography and digital signature such as RSA, Elgamal and DSA, this paper has analyzed some algorithms for implementation large modular exponentiation. 针对RSA、Elgamal、DSA等算法在进行数据...
1) modular exponentiation 模乘幂 2) modular exponentiation 模幂乘 1. The large number modular multiplication is a key to fast implement the large numbermodular exponentiationwhich is the essential calculation of some public key cryptography and digital signature schemes such as RSA, ElGamal and DSA....
Montgomery modular multiplication(MMM) plays a crucial role in the implementation of modular exponentiations of public-key cryptography. 在公钥密码实现中,Montgomery模乘扮演着非常重要的角色。 3. Through a research on the property ofMontgomery modular multiplication,the Pollard Phro、(P-1) and P+1 al...