FiniteFieldHomomorphisms(F1, GF, F2)ΒΆ

ffhom.spad line 1

FiniteFieldHomomorphisms(F1, GF, F2) exports coercion functions of elements between the fields F1 and F2, which both must be finite simple algebraic extensions of the finite ground field GF.

coerce: F1 -> F2
coerce(x) is the homomorphic image of x from F1 in F2. Thus coerce is a field homomorphism between the fields extensions F1 and F2 both over ground field GF (the second argument to the package). Error: if the extension degree of F1 doesn't divide the extension degree of F2. Note that the other coercion function in the FiniteFieldHomomorphisms is a left inverse.
coerce: F2 -> F1
coerce(x) is the homomorphic image of x from F2 in F1, where coerce is a field homomorphism between the fields extensions F2 and F1 both over ground field GF (the second argument to the package). Error: if the extension degree of F2 doesn't divide the extension degree of F1. Note that the other coercion function in the FiniteFieldHomomorphisms is a left inverse.