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D.12.4.4 norm

Procedure from library hyperel.lib (see hyperel_lib).

Usage:
norm(a,b,h,f);

Return:
norm of a(x)-b(x)y in IF[C]

Note:
The norm is a polynomial in just one variable.
Curve C: y^2+h(x)y=f(x) is defined over basering.

Example:
 
LIB "hyperel.lib";
ring R=7,x,dp;
// hyperelliptic curve y^2 + h*y = f
poly h=x;
poly f=x5+5x4+6x2+x+3;
poly a=x2+1;
poly b=x;
norm(a,b,h,f);
==> -x7+2x6+3x4-x3+1