[Turkmath:7403] [DMANET] FLINT 1.6 Release - sayilar kurami

[Mustafa Akgul]

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Saygilar

Mutlu Yillar
Mustafa Akgul
______
Hi all,

It is with pleasure that we announce a major new version of FLINT
(Fast Library for Number Theory). FLINT is a C library for low level
functionality relevant to number theory, including polynomial
arithmetic and linear algebra. It is used by Sage, for polynomial
arithmetic over Z and Z/nZ for small prime n.

The new version of FLINT can be downloaded from:

http://www.flintlib.org/

The documentation for this release can be downloaded here:

http://www.flintlib.org/flint-1.6.pdf   (95 pp.)

The major new features of this release (version 1.6) are:
========================================

* Implementation of the Zassenhaus algorithm for univariate polynomial
factoring over Z

* Implementation of a new algorithm for factoring polynomials over Z.
See the papers by van Hoeij and Novocin:

http://prunel.ccsd.cnrs.fr/ensl-00452881/en/

and van Hoeij, Novocin and Hart:

* Implementation of new CLD bounds function for polynomial factors.
See the paper of van Hoeij, Novocin and Hart:

http://prunel.ccsd.cnrs.fr/ensl-00546114/en/

Timings in the paper have improved substantially. Over the next few
weeks we will update the new timings here:

http://andy.novocin.com/timings/

(they are currently not up-to-date).

* Restartable variant of Victor Shoup's (NTL) Hensel lifting

* Heuristic LLL implementations using doubles and mpfr (heavily influenced
by fpLLL)

* LLL implementations optimised for knapsack lattices

* New heuristically subquadratic LLL implementation (ULLL). This is
unpublished work of Andy Novocin, but is inspired by the new algorithm
of Novocin, Stehle and Villard:

http://prunel.ccsd.cnrs.fr/ensl-00534899/en/

* An implementation of the Cantor-Zassenhaus algorithm for factoring
polynomials over Z/nZ

* A new F_mpz_mod_poly module for polynomials over Z/pZ for multiprecision p.

Build notes:
========

* FLINT 1.6 now depends on GMP/MPIR and MPFR.

* FLINT now respects CC and CXX

Further notes:
==========

A vast number of new functions were added in FLINT 1.6. For a partial
list of the improvements, please see:

http://selmer.warwick.ac.uk/CHANGES.txt

Future of FLINT:
===============

Expect FLINT 2.0 very soon....

Seasons Greetings,

The FLINT Team.