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                                       Details for article 7 of 12 found articles
 
 
  On the Optimality of the Binary Algorithm for the Jacobi Symbol
 
 
Title: On the Optimality of the Binary Algorithm for the Jacobi Symbol
Author: Busch, J.
Appeared in: Fundamenta informaticae
Paging: Volume 76 (2007) nr. 1-2 pages 1-11
Year: 2007-03-06
Contents: We establish lower bounds on the complexity of computing the following number-theoretic functions and relations from piecewise linear primitives: (i) the Legendre and Jacobi symbols, (ii) pseudoprimality, and (iii) modular exponentiation. As a corollary to the lower bound obtained for (i), an algorithm of Shallit and Sorenson is optimal (up to a multiplicative constant).
Publisher: IOS Press
Source file: Elektronische Wetenschappelijke Tijdschriften
 
 

                             Details for article 7 of 12 found articles
 
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