Abstract
For odd q, f(x) = x(q+1)/2 + ax is a PP of Fq if and only if a2- 1 is a nonzero square in Fq. Moreover, the polynomial f(x) + cx is a PP of Fq for (q - 3)/2 values of c ? Fq [1939]. The polynomial xr(f(xd))(q-1)/d is a PP of Fq if (r, q - 1) = 1, d q - 1, and f(xd) has no nonzero root in Fq.
| Original language | English (US) |
|---|---|
| Title of host publication | Handbook of Finite Fields |
| Publisher | CRC Press |
| Pages | 215-240 |
| Number of pages | 26 |
| ISBN (Electronic) | 9781439873823 |
| ISBN (Print) | 9781439873786 |
| DOIs | |
| State | Published - Jan 1 2013 |
All Science Journal Classification (ASJC) codes
- Computer Science(all)
- Mathematics(all)