Let T n (x, a) Κ¦ GF(q)[x] be a Dickson polynomial over the finite field GF(q) of either the first kind or the second kind of degree n in the indeterminate x and with parameter a. We give a complete description of the factorization of T n (x, a) over GF(q).
Factorization of the Cyclotomic Polynomialx2n+ 1 over Finite Fields
β Scribed by Helmut Meyn
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 152 KB
- Volume
- 2
- Category
- Article
- ISSN
- 1071-5797
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β¦ Synopsis
The aim of this note is to show that the (well-known) factorization of the 2 nΟ©1 th cyclotomic polynomial x 2 n Ο© 1 over GF(q) with q Ο΅ 1 (mod 4) can be used to prove the (more complicated) factorization of this polynomial over GF(q) with q Ο΅ 3 (mod 4).
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