   
                                    GALOIS
   
   Galois is an algebra/number theory microcomputer package written by
   R. Lidl, R. W. Matthews, and R. Wells from the U. Tasmania in Turbo
   Pascal v3.0.  Galois can be used for teaching or research in  those
   parts of algebra and number theory and their applications      that
   emphasize modular arithmetic, matrices and polynomials over  finite
   fields or integers mod n.  A selection of routines for      various
   domains is: 
   
   Chinese Remainder Alogrithm		Least Common Multiple
   Cyclotomic Polynomials		Minimal Polynomial
   Calculate Determinant		Norm
   Calculate Rank			Nullspace
   Evaluate Polynomial			Order of Element
   Factorization			Primality Test
   Find Inverse				Primitivity Test
   Find "Next" Prime			Rank
   Find Primitive Element		Reduced Echelon Form
   Find Roots				Solve Congruences
   Greatest Common Divisor		Solve Linear Systems
   Interpolation			Trace 
   
   
   The single use license of Galois cost US$115 (DM 240, ATS 1650), the
   site license costs US$440 (DM 890, ATS 6200).  Write to:
   
   CIFEG Inc., Kalkgruberweg 26, A-4040 Linz, Austria
   
   System requirements:  IBM PC or compatible computer, MS.DOS version
   2.0 or later, 640K memory, and a 5 1/4 inch (360K) or a 3 1/2  inch
   (760K) diskette drive.  Any monitor which runs with the CGA, EGA or
   Hercules card is suitable.
