Matches in SemOpenAlex for { <https://semopenalex.org/work/W4300010937> ?p ?o ?g. }
Showing items 1 to 72 of
72
with 100 items per page.
- W4300010937 abstract "Let $B_p$ be the Latin square given by the addition table for the integers modulo an odd prime $p$. Here we consider the properties of Latin trades in $B_p$ which preserve orthogonality with one of the $p-1$ MOLS given by the finite field construction. We show that for certain choices of the orthogonal mate, there is a lower bound logarithmic in $p$ for the number of times each symbol occurs in such a trade, with an overall lower bound of $(log{p})^2/loglog{p}$ for the size of such a trade. Such trades imply the existence of orthomorphisms of the cyclic group which differ from a linear orthomorphism by a small amount. We also show that any transversal in $B_p$ hits the main diagonal either $p$ or at most $p-log_2{p}-1$ times. Finally, if $pequiv 1mod{6}$ we show the existence of Latin square containing a $2times 2$ subsquare which is orthogonal to $B_p$." @default.
- W4300010937 created "2022-10-03" @default.
- W4300010937 creator A5039667459 @default.
- W4300010937 creator A5079580434 @default.
- W4300010937 creator A5080083927 @default.
- W4300010937 date "2016-07-15" @default.
- W4300010937 modified "2023-09-29" @default.
- W4300010937 title "Orthogonal trades in complete sets of MOLS" @default.
- W4300010937 doi "https://doi.org/10.48550/arxiv.1607.04429" @default.
- W4300010937 hasPublicationYear "2016" @default.
- W4300010937 type Work @default.
- W4300010937 citedByCount "0" @default.
- W4300010937 crossrefType "posted-content" @default.
- W4300010937 hasAuthorship W4300010937A5039667459 @default.
- W4300010937 hasAuthorship W4300010937A5079580434 @default.
- W4300010937 hasAuthorship W4300010937A5080083927 @default.
- W4300010937 hasBestOaLocation W43000109371 @default.
- W4300010937 hasConcept C100544194 @default.
- W4300010937 hasConcept C114614502 @default.
- W4300010937 hasConcept C118615104 @default.
- W4300010937 hasConcept C130367717 @default.
- W4300010937 hasConcept C134306372 @default.
- W4300010937 hasConcept C135692309 @default.
- W4300010937 hasConcept C158887663 @default.
- W4300010937 hasConcept C17137986 @default.
- W4300010937 hasConcept C184992742 @default.
- W4300010937 hasConcept C185592680 @default.
- W4300010937 hasConcept C2524010 @default.
- W4300010937 hasConcept C2780130068 @default.
- W4300010937 hasConcept C31903555 @default.
- W4300010937 hasConcept C33923547 @default.
- W4300010937 hasConcept C39927690 @default.
- W4300010937 hasConcept C54732982 @default.
- W4300010937 hasConcept C70262065 @default.
- W4300010937 hasConcept C77553402 @default.
- W4300010937 hasConcept C77926391 @default.
- W4300010937 hasConceptScore W4300010937C100544194 @default.
- W4300010937 hasConceptScore W4300010937C114614502 @default.
- W4300010937 hasConceptScore W4300010937C118615104 @default.
- W4300010937 hasConceptScore W4300010937C130367717 @default.
- W4300010937 hasConceptScore W4300010937C134306372 @default.
- W4300010937 hasConceptScore W4300010937C135692309 @default.
- W4300010937 hasConceptScore W4300010937C158887663 @default.
- W4300010937 hasConceptScore W4300010937C17137986 @default.
- W4300010937 hasConceptScore W4300010937C184992742 @default.
- W4300010937 hasConceptScore W4300010937C185592680 @default.
- W4300010937 hasConceptScore W4300010937C2524010 @default.
- W4300010937 hasConceptScore W4300010937C2780130068 @default.
- W4300010937 hasConceptScore W4300010937C31903555 @default.
- W4300010937 hasConceptScore W4300010937C33923547 @default.
- W4300010937 hasConceptScore W4300010937C39927690 @default.
- W4300010937 hasConceptScore W4300010937C54732982 @default.
- W4300010937 hasConceptScore W4300010937C70262065 @default.
- W4300010937 hasConceptScore W4300010937C77553402 @default.
- W4300010937 hasConceptScore W4300010937C77926391 @default.
- W4300010937 hasLocation W43000109371 @default.
- W4300010937 hasLocation W43000109372 @default.
- W4300010937 hasOpenAccess W4300010937 @default.
- W4300010937 hasPrimaryLocation W43000109371 @default.
- W4300010937 hasRelatedWork W1541224886 @default.
- W4300010937 hasRelatedWork W1565645651 @default.
- W4300010937 hasRelatedWork W2055162587 @default.
- W4300010937 hasRelatedWork W2503998605 @default.
- W4300010937 hasRelatedWork W2951420378 @default.
- W4300010937 hasRelatedWork W3091792173 @default.
- W4300010937 hasRelatedWork W4283762218 @default.
- W4300010937 hasRelatedWork W4287198867 @default.
- W4300010937 hasRelatedWork W4287646636 @default.
- W4300010937 hasRelatedWork W4300010937 @default.
- W4300010937 isParatext "false" @default.
- W4300010937 isRetracted "false" @default.
- W4300010937 workType "article" @default.