Elements of provable high orders in finite fields
From MaRDI portal
Publication:4235576
DOI10.1090/S0002-9939-99-04795-4zbMath0923.11166MaRDI QIDQ4235576
Publication date: 22 March 1999
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Analysis of algorithms and problem complexity (68Q25) Number-theoretic algorithms; complexity (11Y16) Structure theory for finite fields and commutative rings (number-theoretic aspects) (11T30)
Related Items (23)
The existence of \(\mathbb{F}_q\)-primitive points on curves using freeness ⋮ On the multiplicative order of the roots of \(bX^{q^r + 1} - aX^{q^r} + dX - c\) ⋮ On multiplicative independence of rational function iterates ⋮ Generating sets for the multiplicative groups of algebras over finite fields and expander graphs ⋮ High order elements in finite fields arising from recursive towers ⋮ On \(r\)-primitive \(k\)-normal elements over finite fields ⋮ Pairs of \(r\)-primitive and \(k\)-normal elements in finite fields ⋮ r -primitive k -normal elements in arithmetic progressions over finite fields ⋮ Elements of high order in finite fields of the form ⋮ The dynamics of permutations on irreducible polynomials ⋮ Irreducible polynomials with consecutive zero coefficients ⋮ ELEMENTS OF HIGH ORDER ON FINITE FIELDS FROM ELLIPTIC CURVES ⋮ FINITE FIELD EXTENSIONS WITH THE LINE OR TRANSLATE PROPERTY FOR -PRIMITIVE ELEMENTS ⋮ Elements of high order in Artin-Schreier extensions of finite fields \(\mathbb{F}_q\) ⋮ Sharpening of the explicit lower bounds for the order of elements in finite field extensions based on cyclotomic polynomials ⋮ Groups generated by iterations of polynomials over finite fields ⋮ ON CONSTRUCTION OF HIGH ORDER ELEMENTS IN ARBITRARY FINITE FIELDS ⋮ Finite field elements of high order arising from modular curves ⋮ The translate and line properties for 2-primitive elements in quadratic extensions ⋮ Existence results on \(k\)-normal elements over finite fields ⋮ On multiplicative dependence of values of rational functions and a generalization of the Northcott theorem ⋮ On the construction of finite field elements of large order ⋮ Unnamed Item
This page was built for publication: Elements of provable high orders in finite fields
