The compositional inverse of a class of permutation polynomials over a finite field

DOI10.1017/S0004972700020578zbMath1023.11061MaRDI QIDQ3149469

Robert S. Coulter, Marie Henderson

Publication date: 11 November 2003

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

zbMATH Keywords

finite fieldspolynomial compositionpermutation polynomials

Mathematics Subject Classification ID

Polynomials over finite fields (11T06) Special polynomials in general fields (12E10)

Related Items (13)

Several classes of Boolean functions with few Walsh transform values ⋮ Piecewise constructions of inverses of cyclotomic mapping permutation polynomials ⋮ A note on inverses of cyclotomic mapping permutation polynomials over finite fields ⋮ New constructions of involutions over finite fields ⋮ On the inverses of some classes of permutations of finite fields ⋮ Compositional inverses of AGW-PPs -- dedicated to Professor Cunsheng Ding for his 60th birthday ⋮ Permutation polynomials and their compositional inverses over finite fields by a local method ⋮ Several Classes of Quadratic Ternary Bent, Near-Bent and 2-Plateaued Functions ⋮ The compositional inverse of a class of bilinear permutation polynomials over finite fields of characteristic 2 ⋮ Compositional inverses of permutation polynomials of the form \(x^rh(x^s)\) over finite fields ⋮ Compositional inverses and complete mappings over finite fields ⋮ The compositional inverse of a class of linearized permutation polynomials over \(\mathbb{F}_{2^n}\), \(n\) odd ⋮ Piecewise constructions of inverses of some permutation polynomials

Cites Work

• The Magma algebra system. I: The user language
• Permutation polynomials: A matrix analogue of Schur's conjecture and a survey of recent results
• When Does a Polynomial Over a Finite Field Permute the Elements of the Field?
• When Does a Polynomial over a Finite Field Permute the Elements of the Field?, II

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