Generation of Addition Chain using Bacteria Foraging Optimization Algorithm
|International Journal of Engineering Trends and Technology (IJETT)||
|© 2021 by IJETT Journal|
|Year of Publication : 2021|
|Authors : Dr.K.Mani, A. Mullai
|DOI : 10.14445/22315381/IJETT-V69I2P205|
MLA Style: Dr.K.Mani, A. Mullai"Generation of Addition Chain using Bacteria Foraging Optimization Algorithm" International Journal of Engineering Trends and Technology 69.2(2021):32-38.
APA Style:Dr.K.Mani, A. Mullai. Generation of Addition Chain using Bacteria Foraging Optimization Algorithm International Journal of Engineering Trends and Technology, 69(2),32-38.
In many number-theoretic cryptographic algorithms, encryption and decryption are of the form xn mod p where x, n and p are integers. When exponentiation operation is involved in many cryptosystems, it takes more time than any normal arithmetic operations. The computation time can be reduced by using repeated multiplications rather than using exponential operation. This can also be further reduced by using addition chain. Modular exponentiation with addition chain is used to determine the correct sequence of multiplications. There exist several algorithms in the literature to generate the optimal addition chain for the given integer. A novel bacteria foraging optimization algorithm based addition chain has been proposed, and it is verified with the existing state of art of addition chain algorithms like genetic algorithm, evolutionary programming etc., in this paper.
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Addition Chain, RSA, ECC, PSO, SSO, BFOA, Optimization.