Math-DifferenceSet-Planar version 0.013
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A planar difference set in a finite group (G, +) is a subset D of G
with the property that any nonzero element of G can be represented as a
difference of two elements of D in exactly one way. If D has k elements
there are k × (k - 1) differences of unequal elements of D and thus
k² - k + 1 elements in G. Planar difference sets are known to exist
in modular integer groups where k - 1 is a prime power. As these finite
groups are cyclic these sets are called cyclic planar difference sets.
This library provides examples of small planar difference sets and
iterators over all known sets of a given size. It comes with a database
of pre-computed samples. Larger databases are available separately.
INSTALLATION
To install this module type the following:
perl Makefile.PL
make
make test
make install
DEPENDENCIES
This library requires these other modules and libraries at run-time:
Carp
DBD::SQLite
DBIx::Class
File::Share
File::Spec
Math::Prime::Util
To build and install, it also needs:
ExtUtils::MakeMaker
File::ShareDir::Install
Test::More
COPYRIGHT AND LICENCE
Copyright (c) 2019-2021 by Martin Becker, Blaubeuren.
This library is free software; you can distribute it and/or modify it
under the terms of the Artistic License 2.0 (see the LICENSE file).
DISCLAIMER OF WARRANTY
This library is distributed in the hope that it will be useful, but
without any warranty; without even the implied warranty of merchantability
or fitness for a particular purpose.