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
- General Computer Science
- General Mathematics