Pairs of orthogonal cyclotomic orthomorphisms, one quadratic the other
quartic, for the cases where near-linear examples do not exist. There
are only 5 such fields and all of them have prime order. Hence we
give field elements as numbers, rather than powers of a primitive
element. The 5 fields are listed below, followed by a line that gives
the multipliers for the quadratic orthomorphism, followed by a line
that gives the multipliers for the quartic orthomorphism.
GF(13)
2 5
3 6 7 3
GF(17)
2 9
3 5 15 13
GF(29)
2 8
5 6 5 5
GF(37)
2 5
3 4 11 30
GF(41)
2 5
3 3 12 7