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 TraceThe single use license of Galois cost US$115 (DM 240, ATS 1650), the site license costs US$440 (DM 890, ATS 6200). Write to:
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.