Permutation polynomials over finite fields from a powerful lemma

From MaRDI portal
Publication:650832

DOI10.1016/j.ffa.2011.04.001zbMath1258.11100OpenAlexW2067790332WikidataQ124854637 ScholiaQ124854637MaRDI QIDQ650832

Cunsheng Ding, Pingzhi Yuan

Publication date: 7 December 2011

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ffa.2011.04.001




Related Items

Some classes of permutation polynomials of the form \(b(x^q +ax+\delta)^{\frac{i(q^2 -1)}{d}+1}+c(x^q +ax+\delta)^{\frac{j(q^2 -1)}{d}+1}+L(x)\) over \(\mathbb{F}_{q^2}\)Permutation trinomials over \(\mathbb{F}_{2^m}\)More classes of permutation polynomials of the form \((x^{p^m}-x+\delta)^s+L(x)\)Some classes of permutation polynomials over finite fields with odd characteristicSome classes of permutation polynomials of the form \((x^{p^m}-x+\delta)^s+x\) over \(\mathbb{F}_{p^{2m}}\)On a conjecture about a class of permutation trinomialsConstructing permutation polynomials from piecewise permutationsLarge classes of permutation polynomials over \(\mathbb {F}_{q^2}\)Permutation polynomials of the type \(x^rg(x^{s})\) over \({\mathbb {F}}_{q^{2n}}\)On construction and (non)existence of \(c\)-(almost) perfect nonlinear functionsNew constructions of permutation polynomials of the form \(x^rh\left( x^{q-1}\right) \) over \({\mathbb F}_{q^2}\)New constructions of involutions over finite fieldsSeveral classes of permutation polynomials of the form \((x^{p^m} - x + \delta)^s + x\) over \(\mathbb{F}_{p^{2m}}\)The additive index of polynomials over finite fieldsSome permutation pentanomials over finite fields with even characteristicOn the inverses of some classes of permutations of finite fieldsA recursive construction of permutation polynomials over \(\mathbb F_{q^2}\) with odd characteristic related to Rédei functionsCorrigenda to ``Permutation polynomials over finite fields from a powerful lemma, ``Further results on permutation polynomials over finite fields, ``Permutation polynomials of the form \(L(x) + S_{2k}^a + S_{2k}^b\) over \(\mathbb{F}_{q^{3k}}\)Further results on complete permutation monomials over finite fieldsCompositional inverses of AGW-PPs -- dedicated to Professor Cunsheng Ding for his 60th birthdayPermutation polynomials and their compositional inverses over finite fields by a local methodSeveral classes of permutation polynomials over the finite field \(\mathbb{F}_{p^{2 m}}\)A class of new permutation trinomialsFurther results on permutation polynomials of the form \((x^{p^m}-x+\delta)^s+x\) over \(\mathbb{F}_{p^{2m}}\)Intersection distribution, non-hitting index and Kakeya sets in affine planesSome new results on permutation polynomials of the form \(b (x^q + ax + \delta)^s - ax\) over \(\mathbb{F}_{q^2}\)Permutation polynomials of the form \(cx+\mathrm{Tr}_{q^l/ q}(x^a)\) and permutation trinomials over finite fields with even characteristicNew results on permutation polynomials of the form \((x^{{p}^{m}} - x + \delta)^s + x^{p^m} + x\) over \(\mathbb F_{p^{2m}}\)Several classes of permutation polynomials based on the AGW criterion over the finite field \(\mathbb{F}_{2^{2m}}\)Several classes of complete permutation polynomialsFurther results on a class of permutation polynomials over finite fieldsCyclotomy and permutation polynomials of large indicesA new approach to permutation polynomials over finite fields. IIFurther results on permutation polynomials via linear translatorsUnnamed ItemTwo classes of permutation polynomials over finite fieldsTwo classes of permutation polynomials having the form \((x^{2^m}+x+\delta)^s+x\)Constructing permutations and complete permutations over finite fields via subfield-valued polynomialsCompositional inverses of permutation polynomials of the form \(x^rh(x^s)\) over finite fieldsTwo types of permutation polynomials with special formsPermutation polynomials from piecewise functionsSome permutation polynomials over finite fieldsTwo-to-one mappings and involutions without fixed points over \(\mathbb{F}_{2^n}\)Permutation polynomials \((x^{p^m} - x + \delta)^{s_1} +(x^{p^m} - x + \delta)^{s_2} + x\) over \(\mathbb{F}_{p^n}\)Compositional inverses and complete mappings over finite fieldsA piecewise construction of permutation polynomials over finite fieldsFurther results on permutation polynomials over finite fieldsPermutation polynomials of the form \(x + \gamma \mathrm{Tr}_q^{q^n}(h(x))\)Further results on permutation polynomials of the form \((x^{p^m} - x + \delta)^s + L(x)\) over \(\mathbb{F}_{p^{2 m}}\)Permutation polynomials over finite fields -- a survey of recent advancesFurther results on permutation polynomials of the form (xpm − x + δ)s + L(x) over 𝔽p2mSome new forms of permutation polynomials based on the AGW criterionPermutation trinomials over \(\mathbb{F}_{q^3} \)Constructions of complete permutation polynomialsPermutation polynomials of the form \(L(x) + S_{2k}^a + S_{2k}^b\) over \(\mathbb{F}_{q^{3k}}\)



Cites Work