Title
Fast batch modular exponentiation with common-multiplicand multiplication.
Abstract
We present an efficient algorithm for batch modular exponentiation which improves upon the previous generalized intersection method with respect to the cost of multiplications. The improvement is achieved by adopting an extended common-multiplicand multiplication technique that efficiently computes more than two multiplications at once. Our algorithm shows a better time-memory tradeoff compared to the previous generalized intersection method. We analyze the cost of multiplications and storage requirement, and show how to choose optimal algorithm parameters that minimize the cost of multiplications.
Year
DOI
Venue
2018
10.1016/j.ipl.2017.09.003
Information Processing Letters
Keywords
Field
DocType
Algorithm,Cryptography,Modular exponentiation,Common-multiplicand multiplication
Discrete mathematics,Cryptography,Arithmetic,Multiplication,Mathematics,Modular exponentiation
Journal
Volume
ISSN
Citations 
129
0020-0190
0
PageRank 
References 
Authors
0.34
3
2
Name
Order
Citations
PageRank
Jungjoo Seo171.61
Kunsoo Park21396171.00