18.6 DegreeFFE

DegreeFFE( z ) or DegreeFFE( vec ) or DegreeFFE( mat )

DegreeFFE returns the degree of the smallest finite field F containing the element z, respectively all elements of the vector vec over a finite field (see Vectors), or matrix mat over a finite field (see Matrices). For vectors and matrices, an error is signalled if the smallest finite field containing all elements of the vector or matrix has size larger than 2^{16}.

    gap> DegreeFFE( Z(16)^7 );
    4
    gap> DegreeFFE( Z(16)^5 );
    2
    gap> DegreeFFE( [ Z(3), Z(27)^11, Z(9)^3 ] );
    6
    gap> DegreeFFE( [ [ Z(5), Z(125)^3 ], [ Z(625)^13, Z(5) ] ] );
    Error, DegreeFFE: <z> must be a finite field element, vector, or matrix
    # The smallest finite field which contains all four of these elements
    # is too large for {\GAP} 

Previous Up Top Next
Index