Swan (Pac. J. Math. 12:1099-1106, 1962) gives conditions under which the trinomial x n + x k + 1 over F2 is reducible. Vishne (Finite Fields Appl. 3:370-377, 1997) extends this result to trinomials over extensions of F2. In this work we determine the parity of the number of irreducible factors of all binomials and some trinomials over the finite field Fq, where q is a power of an odd prime.
All Science Journal Classification (ASJC) codes
- Computer Science Applications
- Applied Mathematics