Abstract: Given a positive integer n, any root of a primitive polynomial x n + a 1 x n − 1 + ... + a n over the finite field $\mathbb{F}_q$ of q elements (where q is a power of a prime p) is a primitive (generating) element of the extension $\mathbb{F}_{q^n}$ , by definition having multiplicative order q n – 1.
Publication Year: 2004
Publication Date: 2004-01-01
Language: en
Type: book-chapter
Indexed In: ['crossref']
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Cited By Count: 9
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