Polynomials and linear transformations over finite fields.

DOI10.1515/crll.1974.267.179zbMath0293.12014OpenAlexW140546783MaRDI QIDQ4044685

Theresa P. Vaughan

Publication date: 1974

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://www.digizeitschriften.de/dms/resolveppn/?PPN=GDZPPN002189186

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Polynomials over finite fields (11T06)

Related Items (21)

On the Sherk plane ⋮ On \(k\)-normal elements over finite fields ⋮ Planar polynomials for commutative semifields with specified nuclei ⋮ On translation planes of order \(q^ 3\) that admit a collineation group of order \(q^ 3\) ⋮ On semifield planes of order \(16^ 2\) ⋮ Cycles of linear permutations over a finite field ⋮ 8 semifield planes of order \(8^ 2\) ⋮ Commutative semifields, two dimensional over their middle nuclei ⋮ A general representation theory for constructing groups of permutation polynomials ⋮ Some new examples of derived semifield planes with affine elations ⋮ Scalar polynomial functions on the nonsingular matrices over a finite field ⋮ Composed products and module polynomials over finite fields ⋮ Factorization of Q(h(T)(x)) over a finite field where Q(x) is irreducible and h(T)(x) is linear. II ⋮ On maximal curves and linearized permutation polynomials over finite fields ⋮ Factorization of Q(h(T)(x)) over a finite field where Q(x) is irreducible and h(T)(x) is linear. I ⋮ A test for additive decomposability of irreducibles over a finite field ⋮ Irreducibles and the composed product for polynomials over a finite field ⋮ On likeable translation planes of even order ⋮ Linear transformations of a finite field ⋮ Some results of finite projective planes ⋮ Likeable functions in finite fields

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