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Baby-Step 2^k-ary Adult-Step Algorithm for Symmetric-Key Decryption

Journal: The Journal of the Institute of Internet, Broadcasting and Communication (Vol.15, No. 2)

Publication Date:

Authors : ;

Page : 23-29

Keywords : Discrete logarithm; Discrete exponentiation; Multiplicative order; Euler's totient function; Baby-step giant-step;

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Abstract

The baby-step giant-step algorithm seeks in a discrete logarithm problem when of are already given. It does so by dividing by block of length and letting one giant walk straight toward with constant strides in search for . In this paper, I basically reduce to and replace a giant with an adult who is designed to walk straight with constant strides. I also extend the algorithm to allow adults to walk simultaneously. As a consequence, the proposed algorithm quarters the execution time of the basic adult-walk method when applied to in the range of In conclusion, the proposed algorithm greatly shorten the step number of baby-step giant-step.

Last modified: 2015-11-19 15:09:36