Matches in SemOpenAlex for { <https://semopenalex.org/work/W2953241658> ?p ?o ?g. }
Showing items 1 to 73 of
73
with 100 items per page.
- W2953241658 abstract "The well-known Chowla and Zassenhaus conjecture, proven by Cohen in 1990, states that for any $dge 2$ and any prime $p>(d^2-3d+4)^2$ there is no complete mapping polynomial in $mathbb{F}_{p}[x]$ of degree $d$. For arbitrary finite fields $mathbb{F}_{q}$, we give a similar result in terms of the Carlitz rank of a permutation polynomial rather than its degree. We prove that if $n<lfloor q/2rfloor$, then there is no complete mapping in $mathbb{F}_{q}[x]$ of Carlitz rank $n$ of small linearity. We also determine how far permutation polynomials $f$ of Carlitz rank $n<lfloor q/2rfloor$ are from being complete, by studying value sets of $f+x.$ We provide examples of complete mappings if $n=lfloor q/2rfloor$, which shows that the above bound cannot be improved in general." @default.
- W2953241658 created "2019-06-27" @default.
- W2953241658 creator A5040765367 @default.
- W2953241658 creator A5056642780 @default.
- W2953241658 creator A5079424258 @default.
- W2953241658 date "2016-04-26" @default.
- W2953241658 modified "2023-10-12" @default.
- W2953241658 title "Complete mappings and Carlitz rank" @default.
- W2953241658 cites W1976636244 @default.
- W2953241658 cites W2010423080 @default.
- W2953241658 cites W2021032595 @default.
- W2953241658 cites W2028116741 @default.
- W2953241658 cites W2326977865 @default.
- W2953241658 hasPublicationYear "2016" @default.
- W2953241658 type Work @default.
- W2953241658 sameAs 2953241658 @default.
- W2953241658 citedByCount "0" @default.
- W2953241658 crossrefType "posted-content" @default.
- W2953241658 hasAuthorship W2953241658A5040765367 @default.
- W2953241658 hasAuthorship W2953241658A5056642780 @default.
- W2953241658 hasAuthorship W2953241658A5079424258 @default.
- W2953241658 hasConcept C114614502 @default.
- W2953241658 hasConcept C118615104 @default.
- W2953241658 hasConcept C121332964 @default.
- W2953241658 hasConcept C134306372 @default.
- W2953241658 hasConcept C164226766 @default.
- W2953241658 hasConcept C184992742 @default.
- W2953241658 hasConcept C21308566 @default.
- W2953241658 hasConcept C24890656 @default.
- W2953241658 hasConcept C2775997480 @default.
- W2953241658 hasConcept C2780990831 @default.
- W2953241658 hasConcept C33923547 @default.
- W2953241658 hasConcept C77926391 @default.
- W2953241658 hasConcept C90119067 @default.
- W2953241658 hasConceptScore W2953241658C114614502 @default.
- W2953241658 hasConceptScore W2953241658C118615104 @default.
- W2953241658 hasConceptScore W2953241658C121332964 @default.
- W2953241658 hasConceptScore W2953241658C134306372 @default.
- W2953241658 hasConceptScore W2953241658C164226766 @default.
- W2953241658 hasConceptScore W2953241658C184992742 @default.
- W2953241658 hasConceptScore W2953241658C21308566 @default.
- W2953241658 hasConceptScore W2953241658C24890656 @default.
- W2953241658 hasConceptScore W2953241658C2775997480 @default.
- W2953241658 hasConceptScore W2953241658C2780990831 @default.
- W2953241658 hasConceptScore W2953241658C33923547 @default.
- W2953241658 hasConceptScore W2953241658C77926391 @default.
- W2953241658 hasConceptScore W2953241658C90119067 @default.
- W2953241658 hasLocation W29532416581 @default.
- W2953241658 hasOpenAccess W2953241658 @default.
- W2953241658 hasPrimaryLocation W29532416581 @default.
- W2953241658 hasRelatedWork W153817541 @default.
- W2953241658 hasRelatedWork W1539788928 @default.
- W2953241658 hasRelatedWork W2021032595 @default.
- W2953241658 hasRelatedWork W2094440204 @default.
- W2953241658 hasRelatedWork W2098504813 @default.
- W2953241658 hasRelatedWork W2271168877 @default.
- W2953241658 hasRelatedWork W2326977865 @default.
- W2953241658 hasRelatedWork W2405068759 @default.
- W2953241658 hasRelatedWork W2555444332 @default.
- W2953241658 hasRelatedWork W2587171926 @default.
- W2953241658 hasRelatedWork W2626205313 @default.
- W2953241658 hasRelatedWork W2773611110 @default.
- W2953241658 hasRelatedWork W2899984794 @default.
- W2953241658 hasRelatedWork W2962898640 @default.
- W2953241658 hasRelatedWork W2984220964 @default.
- W2953241658 hasRelatedWork W3087744380 @default.
- W2953241658 hasRelatedWork W3088871169 @default.
- W2953241658 hasRelatedWork W3096827676 @default.
- W2953241658 hasRelatedWork W3136669414 @default.
- W2953241658 isParatext "false" @default.
- W2953241658 isRetracted "false" @default.
- W2953241658 magId "2953241658" @default.
- W2953241658 workType "article" @default.