Sharpening of the explicit lower bounds for the order of elements in finite field extensions based on cyclotomic polynomials

DOI10.1007/s11253-014-0981-0zbMath1319.11091OpenAlexW1966672760MaRDI QIDQ2260856

Roman B. Popovych

Publication date: 12 March 2015

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: http://dspace.nbuv.gov.ua/handle/123456789/166078

Mathematics Subject Classification ID

Polynomials in number theory (11C08) Structure theory for finite fields and commutative rings (number-theoretic aspects) (11T30)

Related Items (6)

High order elements in finite fields arising from recursive towers ⋮ LOWER BOUNDS FOR PERIODS OF DUCCI SEQUENCES ⋮ The dynamics of permutations on irreducible polynomials ⋮ Elements of high order in Artin-Schreier extensions of finite fields \(\mathbb{F}_q\) ⋮ Multiplicative orders of Gauss periods and the arithmetic of real quadratic fields ⋮ Unnamed Item

Cites Work

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• Elements of high order in finite fields of the form
• Orders of Gauss periods in finite fields
• Elements of high order in finite fields of the form \(\mathbb F_q[x/(x^m-a)\)]
• Elements of high order in Artin-Schreier extensions of finite fields
• On the construction of finite field elements of large order
• Handbook of Finite Fields
• ELEMENTS OF HIGH ORDER ON FINITE FIELDS FROM ELLIPTIC CURVES
• MULTIPLICATIVE ORDER OF GAUSS PERIODS
• Elements of provable high orders in finite fields

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