On irreducible polynomials of certain types in finite fields
1969 ◽
Vol 66
(2)
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pp. 335-344
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Keyword(s):
Let GF(q) be the finite field containing q = pl elements, where p is a prime and l a positive integer. Let P(x) be a monic polynomial in GF[q, x] of degree m. In this paper we investigate the nature and distribution of monic irreducible polynomials of the following types:(I) P(xr), where r is a positive integer (r-polynomials).(II) xm P(x + x−1). (Reciprocal polynomials.) These have the form(III) xrmP(xr + x−r). (r-reciprocal polynomials.) These have the form Q(xr), where q(x) satisfies (1·1).
Keyword(s):
1969 ◽
Vol 16
(4)
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pp. 349-363
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Keyword(s):
2012 ◽
Vol 55
(2)
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pp. 418-423
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Keyword(s):
2003 ◽
Vol 55
(2)
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pp. 225-246
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1968 ◽
Vol 16
(1)
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pp. 1-17
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Keyword(s):
2001 ◽
Vol 27
(4)
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pp. 197-200
2010 ◽
Vol 82
(2)
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pp. 232-239
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Keyword(s):
2014 ◽
Vol 13
(05)
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pp. 1350162
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