blob: ac100639b9b35d3bb54ebae1e24e23c794f5097c (
plain)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
|
=head1 NAME
lap - compute least annihilating power of a number
=head1 SYNOPSIS
lap <a> <m>
=head1 DESCRIPTION
The B<lap> program computes the order of I<a> modulo I<m>, for
arbitrary precision integers I<a> and I<m>. The B<order> of I<a>
modulo I<m> is defined as the smallest positive value I<n> for which
I<a> raised to the I<n>th power, modulo I<m>, is equal to 1. The
order may not exist, if I<m> is composite.
=head1 RESTRICTIONS
This program is very slow, especially for large moduli. It is
intended as a way to help find primitive elements in a modular field,
but it does not do so in a particularly inefficient manner. It was
written simply to help verify that a particular candidate does not
have an obviously short cycle mod I<m>.
=head1 SEE ALSO
gcd(1), invmod(1), isprime(1)
=head1 AUTHOR
Michael J. Fromberger <sting@linguist.dartmouth.edu>
Thayer School of Engineering, Hanover, New Hampshire, USA
$Date$
|