fixed 2011/9/30 juaninf <juan...@gmail.com>
> Hi everybody, > > I want implement a modified extend Euclidean Algorithm, (egcd > function), but this give wrong results, below my egcd, please help me > to fix ... > def egcd(p1,p2): > if p2 == PR(0): > return (p1,1,0) > else: > (q1, r1) = (p1).quo_rem(p2) > (d,s1,t1) = egcd(p2, r1) > return (d,t1,(s1 - q1 * t1)) > m = 4 > F.<x> = GF(2) > Phi.<x> = GF(2^m); > PR = PolynomialRing(Phi,'z'); > N = 2^m - 1; > X = PolynomialRing(Phi,repr('z')).gen(); > g = X^4+X^3+X^2+1+x^2; # goppa polynomial > R = (x^3 + x^2 + 1)*X^3 + (x^3 + x^2 + x)*X^2 + (x^2 + 1)*X + x^3 + x > (a11,b11,c11) = egcd(g,R) > print 'testing',((c11.mod(g)*(R))).mod(g) > (a11,b11,c11) = xgcd(g,R) > print 'testing',((c11.mod(g)*(R))).mod(g) > > -- > To post to this group, send email to sage-support@googlegroups.com > To unsubscribe from this group, send email to > sage-support+unsubscr...@googlegroups.com > For more options, visit this group at > http://groups.google.com/group/sage-support > URL: http://www.sagemath.org > -- --------------------------------------------------------------------- Juan del Carmen Grados Vásquez Laboratório Nacional de Computação Científica Tel: +55 24 2233-6260 (http://www.lncc.br/) http://juaninf.blogspot.com --------------------------------------------------------------------- -- To post to this group, send email to sage-support@googlegroups.com To unsubscribe from this group, send email to sage-support+unsubscr...@googlegroups.com For more options, visit this group at http://groups.google.com/group/sage-support URL: http://www.sagemath.org