Top
Back: Teaching
Forward: fastExpt
FastBack:
FastForward:
Up: Singular Manual
Top: Singular Manual
Contents: Table of Contents
Index: Index
About: About this document

D.12.1 aksaka_lib

Library:
aksaka.lib
Purpose:
Procedures for primality testing after Agrawal, Saxena, Kayal
Authors:
Christoph Mang

Overview:
Algorithms for primality testing in polynomial time based on the ideas of Agrawal, Saxena and Kayal.

Procedures:

D.12.1.1 fastExpt  a^m for numbers a,m; if a^k>n n+1 is returned
D.12.1.2 log2  logarithm to basis 2 of n
D.12.1.3 PerfectPowerTest  checks if there are a,b>1, so that a^b=n
D.12.1.4 wurzel  square root of number r
D.12.1.5 euler  phi-function of Euler
D.12.1.6 coeffmod  polynomial f modulo number n (coefficients mod n)
D.12.1.7 powerpolyX  (polynomial a)^q modulo (poly r,number n)
D.12.1.8 ask  ASK-Algorithm; deterministic Primality test


Top Back: Teaching Forward: fastExpt FastBack: FastForward: Up: Singular Manual Top: Singular Manual Contents: Table of Contents Index: Index About: About this document
            User manual for Singular version 4.3.1, 2022, generated by texi2html.