Matches in SemOpenAlex for { <https://semopenalex.org/work/W1965217510> ?p ?o ?g. }
Showing items 1 to 68 of
68
with 100 items per page.
- W1965217510 endingPage "595" @default.
- W1965217510 startingPage "583" @default.
- W1965217510 abstract "The structure of bilinear cyclic convolution algorithms is explored over finite fields. The algorithms derived are valid for any length not divisible by the field characteristic and are based upon the small length polynomial multiplication algorithms. The multiplicative complexity of these algorithms is small and depends on the field of constants. The linear transformation matrices <tex xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>A, B</tex> (premultiplication), and <tex xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>C</tex> (postmultiplication) defining the algorithm have block structures which are related to one another. The rows of <tex xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>A</tex> and <tex xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>B</tex> and the columns of <tex xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>C</tex> are maximal length recurrent sequences. Because of the highly regular structure of <tex xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>A, B</tex> , and <tex xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>C</tex> , the algorithms can be very easily designed even for large lengths. The application of these algorithms to the decoding of Reed-Solomon codes is also examined." @default.
- W1965217510 created "2016-06-24" @default.
- W1965217510 creator A5044225931 @default.
- W1965217510 creator A5055332340 @default.
- W1965217510 date "1983-07-01" @default.
- W1965217510 modified "2023-09-25" @default.
- W1965217510 title "A new structured design method for convolutions over finite fields, Part I" @default.
- W1965217510 cites W1543026886 @default.
- W1965217510 cites W1964710096 @default.
- W1965217510 cites W1966209745 @default.
- W1965217510 cites W1966904279 @default.
- W1965217510 cites W1982022511 @default.
- W1965217510 cites W1985896262 @default.
- W1965217510 cites W1991675203 @default.
- W1965217510 cites W1997654368 @default.
- W1965217510 cites W2031855568 @default.
- W1965217510 cites W2047672252 @default.
- W1965217510 cites W2104943391 @default.
- W1965217510 cites W2113994308 @default.
- W1965217510 cites W2142603808 @default.
- W1965217510 cites W2145977593 @default.
- W1965217510 cites W2148880277 @default.
- W1965217510 cites W2154123414 @default.
- W1965217510 doi "https://doi.org/10.1109/tit.1983.1056705" @default.
- W1965217510 hasPublicationYear "1983" @default.
- W1965217510 type Work @default.
- W1965217510 sameAs 1965217510 @default.
- W1965217510 citedByCount "17" @default.
- W1965217510 countsByYear W19652175102012 @default.
- W1965217510 countsByYear W19652175102021 @default.
- W1965217510 crossrefType "journal-article" @default.
- W1965217510 hasAuthorship W1965217510A5044225931 @default.
- W1965217510 hasAuthorship W1965217510A5055332340 @default.
- W1965217510 hasConcept C11413529 @default.
- W1965217510 hasConcept C134306372 @default.
- W1965217510 hasConcept C202444582 @default.
- W1965217510 hasConcept C33923547 @default.
- W1965217510 hasConcept C41008148 @default.
- W1965217510 hasConcept C42747912 @default.
- W1965217510 hasConcept C9652623 @default.
- W1965217510 hasConceptScore W1965217510C11413529 @default.
- W1965217510 hasConceptScore W1965217510C134306372 @default.
- W1965217510 hasConceptScore W1965217510C202444582 @default.
- W1965217510 hasConceptScore W1965217510C33923547 @default.
- W1965217510 hasConceptScore W1965217510C41008148 @default.
- W1965217510 hasConceptScore W1965217510C42747912 @default.
- W1965217510 hasConceptScore W1965217510C9652623 @default.
- W1965217510 hasIssue "4" @default.
- W1965217510 hasLocation W19652175101 @default.
- W1965217510 hasOpenAccess W1965217510 @default.
- W1965217510 hasPrimaryLocation W19652175101 @default.
- W1965217510 hasRelatedWork W1993024450 @default.
- W1965217510 hasRelatedWork W1996796035 @default.
- W1965217510 hasRelatedWork W2018682603 @default.
- W1965217510 hasRelatedWork W2025793054 @default.
- W1965217510 hasRelatedWork W2045447888 @default.
- W1965217510 hasRelatedWork W2078560725 @default.
- W1965217510 hasRelatedWork W2127459735 @default.
- W1965217510 hasRelatedWork W2543314671 @default.
- W1965217510 hasRelatedWork W2782710936 @default.
- W1965217510 hasRelatedWork W2963861780 @default.
- W1965217510 hasVolume "29" @default.
- W1965217510 isParatext "false" @default.
- W1965217510 isRetracted "false" @default.
- W1965217510 magId "1965217510" @default.
- W1965217510 workType "article" @default.