Polynomials for hyperovals of Desarguesian planes
1991 ◽
Vol 51
(3)
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pp. 436-447
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AbstractThis paper studies o-polynomials, that is, polynomials which represent hyperovals in Desarguesian projective planes of even order. We present theoretical restrictions on the form that O-polynomials can have, and we determine the number of o-polynomials corresponding to each of the known classes of hyperovals (other than Cherowitzo's). We use this to give the number of known o-polynomials for the fields of orders 4, 8, 16 and 32. Exploratory computer searches for o-polynomials for fields of small orders greater than 16 are reported.
2011 ◽
Vol 17
(6)
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pp. 521-531
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Keyword(s):
2004 ◽
Vol 32
(1-3)
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pp. 111-119
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1957 ◽
Vol 9
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pp. 378-388
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