Matches in SemOpenAlex for { <https://semopenalex.org/work/W3216482937> ?p ?o ?g. }
Showing items 1 to 79 of
79
with 100 items per page.
- W3216482937 endingPage "1662" @default.
- W3216482937 startingPage "1651" @default.
- W3216482937 abstract "In this work, we present linear exact repair schemes for one or two erasures in decreasing monomial-Cartesian codes (DM-CC), a family of codes which provides a framework for polar codes. In the case of two erasures, the positions of the erasures should satisfy a certain restriction. We present families of augmented Reed-Muller (ARM) and augmented Cartesian codes (ACar) which are families of evaluation codes obtained by strategically adding vectors to Reed-Muller and Cartesian codes, respectively. We develop repair schemes for one or two erasures for these families of augmented codes. Unlike the repair scheme for two erasures of DM-CC, the repair scheme for two erasures for the augmented codes has no restrictions on the positions of the erasures. When the dimension and base field are fixed, we give examples where ARM and ACar codes provide a lower bandwidth (resp., bitwidth) in comparison with Reed-Solomon (resp., Hermitian) codes. When the length and base field are fixed, we give examples where ACar codes provide a lower bandwidth in comparison with ARM. Finally, we analyze the asymptotic behavior when the augmented codes achieve the maximum rate." @default.
- W3216482937 created "2021-12-06" @default.
- W3216482937 creator A5004055299 @default.
- W3216482937 creator A5068570347 @default.
- W3216482937 creator A5084201022 @default.
- W3216482937 date "2022-03-01" @default.
- W3216482937 modified "2023-10-14" @default.
- W3216482937 title "Erasures Repair for Decreasing Monomial-Cartesian and Augmented Reed-Muller Codes of High Rate" @default.
- W3216482937 cites W1569612250 @default.
- W3216482937 cites W2047096647 @default.
- W3216482937 cites W2058863419 @default.
- W3216482937 cites W2073236804 @default.
- W3216482937 cites W2095235754 @default.
- W3216482937 cites W2105185344 @default.
- W3216482937 cites W2613593521 @default.
- W3216482937 cites W2768198923 @default.
- W3216482937 cites W2950353718 @default.
- W3216482937 cites W3004673800 @default.
- W3216482937 cites W3103235429 @default.
- W3216482937 cites W3115976699 @default.
- W3216482937 cites W3158523482 @default.
- W3216482937 cites W4206775542 @default.
- W3216482937 doi "https://doi.org/10.1109/tit.2021.3130096" @default.
- W3216482937 hasPublicationYear "2022" @default.
- W3216482937 type Work @default.
- W3216482937 sameAs 3216482937 @default.
- W3216482937 citedByCount "1" @default.
- W3216482937 countsByYear W32164829372023 @default.
- W3216482937 crossrefType "journal-article" @default.
- W3216482937 hasAuthorship W3216482937A5004055299 @default.
- W3216482937 hasAuthorship W3216482937A5068570347 @default.
- W3216482937 hasAuthorship W3216482937A5084201022 @default.
- W3216482937 hasBestOaLocation W32164829372 @default.
- W3216482937 hasConcept C11252640 @default.
- W3216482937 hasConcept C11413529 @default.
- W3216482937 hasConcept C118615104 @default.
- W3216482937 hasConcept C157125643 @default.
- W3216482937 hasConcept C169021753 @default.
- W3216482937 hasConcept C33923547 @default.
- W3216482937 hasConcept C41008148 @default.
- W3216482937 hasConcept C57273362 @default.
- W3216482937 hasConcept C78065487 @default.
- W3216482937 hasConcept C78944582 @default.
- W3216482937 hasConcept C80444323 @default.
- W3216482937 hasConceptScore W3216482937C11252640 @default.
- W3216482937 hasConceptScore W3216482937C11413529 @default.
- W3216482937 hasConceptScore W3216482937C118615104 @default.
- W3216482937 hasConceptScore W3216482937C157125643 @default.
- W3216482937 hasConceptScore W3216482937C169021753 @default.
- W3216482937 hasConceptScore W3216482937C33923547 @default.
- W3216482937 hasConceptScore W3216482937C41008148 @default.
- W3216482937 hasConceptScore W3216482937C57273362 @default.
- W3216482937 hasConceptScore W3216482937C78065487 @default.
- W3216482937 hasConceptScore W3216482937C78944582 @default.
- W3216482937 hasConceptScore W3216482937C80444323 @default.
- W3216482937 hasFunder F4320306076 @default.
- W3216482937 hasFunder F4320308427 @default.
- W3216482937 hasIssue "3" @default.
- W3216482937 hasLocation W32164829371 @default.
- W3216482937 hasLocation W32164829372 @default.
- W3216482937 hasOpenAccess W3216482937 @default.
- W3216482937 hasPrimaryLocation W32164829371 @default.
- W3216482937 hasRelatedWork W1500755669 @default.
- W3216482937 hasRelatedWork W2116167902 @default.
- W3216482937 hasRelatedWork W2130590206 @default.
- W3216482937 hasRelatedWork W2244949580 @default.
- W3216482937 hasRelatedWork W2396892674 @default.
- W3216482937 hasRelatedWork W3100875691 @default.
- W3216482937 hasRelatedWork W3148530107 @default.
- W3216482937 hasRelatedWork W3201775255 @default.
- W3216482937 hasRelatedWork W3201915762 @default.
- W3216482937 hasRelatedWork W4301187121 @default.
- W3216482937 hasVolume "68" @default.
- W3216482937 isParatext "false" @default.
- W3216482937 isRetracted "false" @default.
- W3216482937 magId "3216482937" @default.
- W3216482937 workType "article" @default.