44 research outputs found
Determination of a Type of Permutation Trinomials over Finite Fields
Let . We find
explicit conditions on and that are necessary and sufficient for to
be a permutation polynomial of . This result allows us to solve a
related problem. Let (,
) be the polynomial defined by the functional equation
. We determine all
of the form , , for which
is a permutation polynomial of .Comment: 28 page
Construction of Permutation Polynomials of Certain Specific Cycle Structure over Finite Fields
For a finite field of odd number of elements
we construct families of permutation binomials and permutation trinomials
with one fixed-point (namely zero) and
remaining elements being permuted as disjoint cycles of same length.
Binomials and trinomials providing permutations
with cycles of many lengths with
certain frequency are also constructed.Comment: 10 pages, 1 table, Comments welcom