FINITE FIELD EXTENSIONS WITH THE LINE OR TRANSLATE PROPERTY FOR -PRIMITIVE ELEMENTS

DOI10.1017/S1446788720000099zbMath1485.11167arXiv1906.08046OpenAlexW3009176030WikidataQ114116324 ScholiaQ114116324MaRDI QIDQ5164807

Giorgos Kapetanakis, Stephen D. Cohen

Publication date: 15 November 2021

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.08046

zbMATH Keywords

primitive elementhigh-order elementline propertytranslate property

Mathematics Subject Classification ID

Polynomials over finite fields (11T06) Structure theory for finite fields and commutative rings (number-theoretic aspects) (11T30)

Related Items (7)

A recurrent construction of irreducible polynomials of fixed degree over finite fields ⋮ The existence of \(\mathbb{F}_q\)-primitive points on curves using freeness ⋮ On \(r\)-primitive \(k\)-normal elements over finite fields ⋮ Pairs of \(r\)-primitive and \(k\)-normal elements in finite fields ⋮ Inverses of \(r\)-primitive \(k\)-normal elements over finite fields ⋮ r -primitive k -normal elements in arithmetic progressions over finite fields ⋮ The translate and line properties for 2-primitive elements in quadratic extensions

Cites Work

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• An Estimate for Character Sums
• Elements of provable high orders in finite fields
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• ON PRIMITIVE ROOTS IN FINITE FIELDS
• DISTRIBUTION OF PRIMITIVE ROOTS IN A FINITE FIELD

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