Matches in SemOpenAlex for { <https://semopenalex.org/work/W2951752014> ?p ?o ?g. }
Showing items 1 to 81 of
81
with 100 items per page.
- W2951752014 abstract "We show that every $(2^n,2^n,2^n,1)$-relative difference set $D$ in $Z_4^n$ relative to $Z_2^n$ can be represented by a polynomial $f(x)in F_{2^n}[x]$, where $f(x+a)+f(x)+xa$ is a permutation for each nonzero $a$. We call such an $f$ a planar function on $F_{2^n}$. The projective plane $Pi$ obtained from $D$ in the way of Ganley and Spence cite{ganley_relative_1975} is coordinatized, and we obtain necessary and sufficient conditions of $Pi$ to be a presemifield plane. We also prove that a function $f$ on $F_{2^n}$ with exactly two elements in its image set and $f(0)=0$ is planar, if and only if, $f(x+y)=f(x)+f(y)$ for any $x,yinF_{2^n}$." @default.
- W2951752014 created "2019-06-27" @default.
- W2951752014 creator A5039613345 @default.
- W2951752014 date "2012-11-13" @default.
- W2951752014 modified "2023-09-24" @default.
- W2951752014 title "(2^n,2^n,2^n,1)-relative difference sets and their representations" @default.
- W2951752014 cites W13185210 @default.
- W2951752014 cites W1498892963 @default.
- W2951752014 cites W1563907129 @default.
- W2951752014 cites W1829295197 @default.
- W2951752014 cites W1976677460 @default.
- W2951752014 cites W2023033882 @default.
- W2951752014 cites W2024156986 @default.
- W2951752014 cites W2032923788 @default.
- W2951752014 cites W2036526725 @default.
- W2951752014 cites W2046091559 @default.
- W2951752014 cites W2065598595 @default.
- W2951752014 cites W2148230581 @default.
- W2951752014 cites W2334323920 @default.
- W2951752014 cites W401986301 @default.
- W2951752014 doi "https://doi.org/10.48550/arxiv.1211.2942" @default.
- W2951752014 hasPublicationYear "2012" @default.
- W2951752014 type Work @default.
- W2951752014 sameAs 2951752014 @default.
- W2951752014 citedByCount "1" @default.
- W2951752014 countsByYear W29517520142013 @default.
- W2951752014 crossrefType "posted-content" @default.
- W2951752014 hasAuthorship W2951752014A5039613345 @default.
- W2951752014 hasBestOaLocation W29517520141 @default.
- W2951752014 hasConcept C114614502 @default.
- W2951752014 hasConcept C115961682 @default.
- W2951752014 hasConcept C121332964 @default.
- W2951752014 hasConcept C121684516 @default.
- W2951752014 hasConcept C134306372 @default.
- W2951752014 hasConcept C134786449 @default.
- W2951752014 hasConcept C14036430 @default.
- W2951752014 hasConcept C154945302 @default.
- W2951752014 hasConcept C17825722 @default.
- W2951752014 hasConcept C21308566 @default.
- W2951752014 hasConcept C24890656 @default.
- W2951752014 hasConcept C2524010 @default.
- W2951752014 hasConcept C33923547 @default.
- W2951752014 hasConcept C41008148 @default.
- W2951752014 hasConcept C78458016 @default.
- W2951752014 hasConcept C86803240 @default.
- W2951752014 hasConcept C90119067 @default.
- W2951752014 hasConceptScore W2951752014C114614502 @default.
- W2951752014 hasConceptScore W2951752014C115961682 @default.
- W2951752014 hasConceptScore W2951752014C121332964 @default.
- W2951752014 hasConceptScore W2951752014C121684516 @default.
- W2951752014 hasConceptScore W2951752014C134306372 @default.
- W2951752014 hasConceptScore W2951752014C134786449 @default.
- W2951752014 hasConceptScore W2951752014C14036430 @default.
- W2951752014 hasConceptScore W2951752014C154945302 @default.
- W2951752014 hasConceptScore W2951752014C17825722 @default.
- W2951752014 hasConceptScore W2951752014C21308566 @default.
- W2951752014 hasConceptScore W2951752014C24890656 @default.
- W2951752014 hasConceptScore W2951752014C2524010 @default.
- W2951752014 hasConceptScore W2951752014C33923547 @default.
- W2951752014 hasConceptScore W2951752014C41008148 @default.
- W2951752014 hasConceptScore W2951752014C78458016 @default.
- W2951752014 hasConceptScore W2951752014C86803240 @default.
- W2951752014 hasConceptScore W2951752014C90119067 @default.
- W2951752014 hasLocation W29517520141 @default.
- W2951752014 hasLocation W29517520142 @default.
- W2951752014 hasOpenAccess W2951752014 @default.
- W2951752014 hasPrimaryLocation W29517520141 @default.
- W2951752014 hasRelatedWork W1513052609 @default.
- W2951752014 hasRelatedWork W1576273872 @default.
- W2951752014 hasRelatedWork W1984915717 @default.
- W2951752014 hasRelatedWork W2017832753 @default.
- W2951752014 hasRelatedWork W2030270413 @default.
- W2951752014 hasRelatedWork W2949302178 @default.
- W2951752014 hasRelatedWork W2950693469 @default.
- W2951752014 hasRelatedWork W2963290401 @default.
- W2951752014 hasRelatedWork W2963442656 @default.
- W2951752014 hasRelatedWork W3158595287 @default.
- W2951752014 isParatext "false" @default.
- W2951752014 isRetracted "false" @default.
- W2951752014 magId "2951752014" @default.
- W2951752014 workType "article" @default.