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Finding irreducible and primitive polynomials

✍ Scribed by Igor E. Shparlinski


Publisher
Springer
Year
1993
Tongue
English
Weight
273 KB
Volume
4
Category
Article
ISSN
0938-1279

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πŸ“œ SIMILAR VOLUMES


Irreducible polynomials and linear recur
✍ Liu Mulan; Gary L. Mullen πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 388 KB

For CI E Fq the finite field of order q and b E F,(a), let FJt(,fi) = F,(y). We obtain an explicit formula for the minimal polynomial h?(x) of y in terms of the greatest common divisor of two polynomials which are closely related to the minimal polynomials fl(x) of a and g&) of /I. We also give an a

Primitive elements and polynomials with
✍ Stephen D. Cohen πŸ“‚ Article πŸ“… 1990 πŸ› Elsevier Science 🌐 English βš– 376 KB

With one non-trivial exception, GF(q") contains a primitive element of arbitrary trace over GF(q). Johannesburg.