<?xml version="1.0" encoding="utf-8" ?> <!-- for emacs: -*- coding: utf-8 -*- --> <!-- Apache may like this line in the file .htaccess: AddCharset utf-8 .html --> <!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.1 plus MathML 2.0 plus SVG 1.1//EN" "http://www.w3.org/2002/04/xhtml-math-svg/xhtml-math-svg-flat.dtd" > <html xmlns="http://www.w3.org/1999/xhtml" xml:lang="en"> <head><title>GaloisField -- the class of all Galois fields</title> <link rel="stylesheet" type="text/css" href="../../../../Macaulay2/Style/doc.css"/> </head> <body> <table class="buttons"> <tr> <td><div><a href="___Gamma.html">next</a> | <a href="___Function__Closure.html">previous</a> | <a href="___Gamma.html">forward</a> | <a href="___Function__Closure.html">backward</a> | up | <a href="index.html">top</a> | <a href="master.html">index</a> | <a href="toc.html">toc</a> | <a href="http://www.math.uiuc.edu/Macaulay2/">Macaulay2 web site</a></div> </td> </tr> </table> <hr/> <div><h1>GaloisField -- the class of all Galois fields</h1> <div><!--empty documentation body--></div> <div class="waystouse"><h2>Functions and methods returning a Galois field :</h2> <ul><li><span>GF(Ring), see <span><a href="___G__F.html" title="make a finite field">GF</a> -- make a finite field</span></span></li> <li><span>GF(ZZ), see <span><a href="___G__F.html" title="make a finite field">GF</a> -- make a finite field</span></span></li> <li><span>GF(ZZ,ZZ), see <span><a href="___G__F.html" title="make a finite field">GF</a> -- make a finite field</span></span></li> </ul> <h2>Methods that use a Galois field :</h2> <ul><li><span><a href="_ambient_lp__Galois__Field_rp.html" title="corresponding quotient ring">ambient(GaloisField)</a> -- corresponding quotient ring</span></li> <li><span>describe(GaloisField), see <span><a href="_describe.html" title="real description">describe</a> -- real description</span></span></li> <li><span>dim(GaloisField), see <span><a href="_dim_lp__Ring_rp.html" title="compute the Krull dimension">dim(Ring)</a> -- compute the Krull dimension</span></span></li> <li><span><tt>map(GaloisField,GaloisField)</tt> (missing documentation<!-- tag: (map,GaloisField,GaloisField) -->)</span></li> <li><span><tt>precision(GaloisField)</tt> (missing documentation<!-- tag: (precision,GaloisField) -->)</span></li> <li><span>random(GaloisField), see <span><a href="_random_lp__Type_rp.html" title="random element of a type">random(Type)</a> -- random element of a type</span></span></li> </ul> </div> <div class="waystouse"><h2>For the programmer</h2> <p>The object <a href="___Galois__Field.html" title="the class of all Galois fields">GaloisField</a> is <span>a <a href="___Type.html">type</a></span>, with ancestor classes <a href="___Engine__Ring.html" title="the class of rings handled by the engine">EngineRing</a> < <a href="___Ring.html" title="the class of all rings">Ring</a> < <a href="___Type.html" title="the class of all types">Type</a> < <a href="___Mutable__Hash__Table.html" title="the class of all mutable hash tables">MutableHashTable</a> < <a href="___Hash__Table.html" title="the class of all hash tables">HashTable</a> < <a href="___Thing.html" title="the class of all things">Thing</a>.</p> </div> </div> </body> </html>