An Evolutionary Algorithm for Short Addition Chains
نویسندگان
چکیده
منابع مشابه
Evolutionary Algorithms for Finding Short Addition Chains: Going the Distance
The problem of finding the shortest addition chain for a given exponent is of great relevance in cryptography, but is also very difficult to solve since it is an NP-hard problem. In this paper, we propose a genetic algorithm with a novel representation of solutions and new crossover and mutation operators to minimize the length of the addition chains corresponding to a given exponent. We also d...
متن کاملAn Efficient Algorithm for Optimal Addition Chains
The computational aspects of finding the shortest addition chains for an integer are investigated in this work. Theoretically developed lower and upper bounds for the minimal length of the addition chains for an integer are exploited to construct a subtle pruning function for backtracking algorithm. These techniques are finally combined to build an efficient algorithm for finding the optimal ad...
متن کاملFinding Short and Hardware-friendly Addition Chains with Evolutionary Algorithms
Finding the shortest addition chain for a given exponent is a significant problem in cryptography. In this work, we present a genetic algorithm with a novel encoding of solutions and new crossover and mutation operators to minimize the length of the addition chains corresponding to a given exponent. We also develop a repair strategy that significantly enhances the performance of our approach. T...
متن کاملNew Methods for Generating Short Addition Chains
Power exponentiation is an important operation in modern cryptography. This operation can be efficiently calculated using the concept of the addition chain. In this paper, two new systematic methods, a Run-length method and a Hybrid method, are proposed to generate a short addition chain. The performance of these two methods are theoretically analyzed and it is shown that the Hybrid method is m...
متن کاملEvolutionary programming for the length minimization of addition chains
This paper presents the use of evolutionary programming to minimize the length of addition chains. Generating minimal addition chains is considered an NP-hard search problem. Addition chains are employed to reduce the number of multiplications in modular exponentiation for data encryption and decryption in public-key cryptosystems. The algorithm is based on a mutation operator able to generate ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: International Journal of Advanced Computer Science and Applications
سال: 2020
ISSN: 2156-5570,2158-107X
DOI: 10.14569/ijacsa.2020.0111258