33.20 NumberVector

NumberVector( B, v )

Let <v> = sum_{i=1}^n lambda_i b_i where <B> = (b_1, b_2, ldots, b_n) is a basis of the vector space V over the finite field F with |F| = q, and the lambda_i are elements of F. Let overline{lambda} be the integer corresponding to lambda as defined by FFList FFList.

Then NumberVector( B, v ) returns sum_{i=1}^n overline{lambda_i} q^{i-1}.

    gap> v:= GF(3)^3;; v.name:= "v";;
    gap> b:= CanonicalBasis( v );;
    gap> l:= List( [0 .. 6 ], x -> ElementRowSpace( b, x ) );
    [ [ 0*Z(3), 0*Z(3), 0*Z(3) ], [ Z(3)^0, 0*Z(3), 0*Z(3) ], 
      [ Z(3), 0*Z(3), 0*Z(3) ], [ 0*Z(3), Z(3)^0, 0*Z(3) ], 
      [ Z(3)^0, Z(3)^0, 0*Z(3) ], [ Z(3), Z(3)^0, 0*Z(3) ], 
      [ 0*Z(3), Z(3), 0*Z(3) ] ] 

Previous Up Top Next
Index