1.1 --- /dev/null Thu Jan 01 00:00:00 1970 +0000 1.2 +++ b/security/nss/lib/freebl/mpi/doc/lap.pod Wed Dec 31 06:09:35 2014 +0100 1.3 @@ -0,0 +1,36 @@ 1.4 +# This Source Code Form is subject to the terms of the Mozilla Public 1.5 +# License, v. 2.0. If a copy of the MPL was not distributed with this 1.6 +# file, You can obtain one at http://mozilla.org/MPL/2.0/. 1.7 + 1.8 +=head1 NAME 1.9 + 1.10 + lap - compute least annihilating power of a number 1.11 + 1.12 +=head1 SYNOPSIS 1.13 + 1.14 + lap <a> <m> 1.15 + 1.16 +=head1 DESCRIPTION 1.17 + 1.18 +The B<lap> program computes the order of I<a> modulo I<m>, for 1.19 +arbitrary precision integers I<a> and I<m>. The B<order> of I<a> 1.20 +modulo I<m> is defined as the smallest positive value I<n> for which 1.21 +I<a> raised to the I<n>th power, modulo I<m>, is equal to 1. The 1.22 +order may not exist, if I<m> is composite. 1.23 + 1.24 +=head1 RESTRICTIONS 1.25 + 1.26 +This program is very slow, especially for large moduli. It is 1.27 +intended as a way to help find primitive elements in a modular field, 1.28 +but it does not do so in a particularly inefficient manner. It was 1.29 +written simply to help verify that a particular candidate does not 1.30 +have an obviously short cycle mod I<m>. 1.31 + 1.32 +=head1 SEE ALSO 1.33 + 1.34 +gcd(1), invmod(1), isprime(1) 1.35 + 1.36 +=head1 AUTHOR 1.37 + 1.38 + Michael J. Fromberger <sting@linguist.dartmouth.edu> 1.39 + Thayer School of Engineering, Hanover, New Hampshire, USA