FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2108998869> ?p ?o ?g. }

• W2108998869 endingPage "4070" @default.
• W2108998869 startingPage "4061" @default.
• W2108998869 abstract "For prime <i xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>p</i> and a positive integer <i xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>m</i> , it is shown that <i xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>M</i> -ary Sidelnikov sequences of period <i xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>p</i> <sup xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>2m</sup> -1, if <i xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>M</i> | <i xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>p</i> <sup xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>m</sup> -1, can be equivalently generated by the operation of elements in a finite field <i xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>GF(p</i> <sup xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>m</sup> ), including a <i xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>p</i> <sup xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>m</sup> -ary <i xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>m</i> -sequence. From the <i xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>(p</i> <sup xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>m</sup> -1) ×( <i xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>p</i> <sup xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>m</sup> +1) array structure of the sequences, it is then found that a half of the column sequences and their constant multiples have low correlation enough to construct new <i xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>M</i> -ary sequence families of period <i xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>p</i> <sup xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>m</sup> -1. In particular, new <i xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>M</i> -ary sequence families of period <i xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>p</i> <sup xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>m</sup> -1 are constructed from the combination of the column sequence families and known Sidelnikov-based sequence families, where the new families have larger family sizes than the known ones with the same maximum correlation magnitudes. Finally, it is shown that the new <i xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>M</i> -ary sequence family of period <i xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>p</i> <sup xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>m</sup> -1 and the maximum correlation magnitude <i xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>2√{p</i> <sup xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>m</sup> }+6 asymptotically achieves <i xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>√2</i> times the equality of the Sidelnikov's lower bound when <i xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>M</i> = <i xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>p</i> <sup xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>m</sup> -1 for odd prime <i xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>p</i> ." @default.
• W2108998869 created "2016-06-24" @default.
• W2108998869 creator A5036636567 @default.
• W2108998869 creator A5054154402 @default.
• W2108998869 date "2010-08-01" @default.
• W2108998869 modified "2023-09-23" @default.
• W2108998869 title "New Construction of $M$-Ary Sequence Families With Low Correlation From the Structure of Sidelnikov Sequences" @default.
• W2108998869 cites W1505761511 @default.
• W2108998869 cites W1527504636 @default.
• W2108998869 cites W1553928702 @default.
• W2108998869 cites W2007532711 @default.
• W2108998869 cites W2050777560 @default.
• W2108998869 cites W2088577449 @default.
• W2108998869 cites W2089277105 @default.
• W2108998869 cites W2105985720 @default.
• W2108998869 cites W2106235749 @default.
• W2108998869 cites W2126577387 @default.
• W2108998869 cites W2140420535 @default.
• W2108998869 cites W2143019587 @default.
• W2108998869 cites W2148315665 @default.
• W2108998869 cites W2164334465 @default.
• W2108998869 cites W2168997931 @default.
• W2108998869 cites W2169822785 @default.
• W2108998869 cites W2171404777 @default.
• W2108998869 cites W2399000084 @default.
• W2108998869 cites W2613956024 @default.
• W2108998869 doi "https://doi.org/10.1109/tit.2010.2050793" @default.
• W2108998869 hasPublicationYear "2010" @default.
• W2108998869 type Work @default.
• W2108998869 sameAs 2108998869 @default.
• W2108998869 citedByCount "35" @default.
• W2108998869 countsByYear W21089988692012 @default.
• W2108998869 countsByYear W21089988692013 @default.
• W2108998869 countsByYear W21089988692014 @default.
• W2108998869 countsByYear W21089988692015 @default.
• W2108998869 countsByYear W21089988692016 @default.
• W2108998869 countsByYear W21089988692017 @default.
• W2108998869 countsByYear W21089988692019 @default.
• W2108998869 countsByYear W21089988692020 @default.
• W2108998869 countsByYear W21089988692021 @default.
• W2108998869 countsByYear W21089988692022 @default.
• W2108998869 crossrefType "journal-article" @default.
• W2108998869 hasAuthorship W2108998869A5036636567 @default.
• W2108998869 hasAuthorship W2108998869A5054154402 @default.
• W2108998869 hasConcept C154945302 @default.
• W2108998869 hasConcept C41008148 @default.
• W2108998869 hasConceptScore W2108998869C154945302 @default.
• W2108998869 hasConceptScore W2108998869C41008148 @default.
• W2108998869 hasIssue "8" @default.
• W2108998869 hasLocation W21089988691 @default.
• W2108998869 hasOpenAccess W2108998869 @default.
• W2108998869 hasPrimaryLocation W21089988691 @default.
• W2108998869 hasRelatedWork W1980201978 @default.
• W2108998869 hasRelatedWork W2024483577 @default.
• W2108998869 hasRelatedWork W2031207368 @default.
• W2108998869 hasRelatedWork W2050777560 @default.
• W2108998869 hasRelatedWork W2071547041 @default.
• W2108998869 hasRelatedWork W2088577449 @default.
• W2108998869 hasRelatedWork W2106235749 @default.
• W2108998869 hasRelatedWork W2116607285 @default.
• W2108998869 hasRelatedWork W2124378558 @default.
• W2108998869 hasRelatedWork W2140420535 @default.
• W2108998869 hasRelatedWork W2143798392 @default.
• W2108998869 hasRelatedWork W2148315665 @default.
• W2108998869 hasRelatedWork W2164334465 @default.
• W2108998869 hasRelatedWork W2168997931 @default.
• W2108998869 hasRelatedWork W2169822785 @default.
• W2108998869 hasRelatedWork W2172803862 @default.
• W2108998869 hasRelatedWork W2199002022 @default.
• W2108998869 hasRelatedWork W2504664758 @default.
• W2108998869 hasRelatedWork W2964047128 @default.
• W2108998869 hasRelatedWork W2181833519 @default.
• W2108998869 hasVolume "56" @default.
• W2108998869 isParatext "false" @default.
• W2108998869 isRetracted "false" @default.
• W2108998869 magId "2108998869" @default.
• W2108998869 workType "article" @default.