Matches in SemOpenAlex for { <https://semopenalex.org/work/W3115247306> ?p ?o ?g. }
- W3115247306 endingPage "971" @default.
- W3115247306 startingPage "949" @default.
- W3115247306 abstract "The hull of a linear code C is the intersection of C with its dual C⊥, where the dual is often defined with respect to Euclidean or Hermitian inner product. The Euclidean hull with low dimensions gets much interest due to its crucial role in determining the complexity of algorithms for computing the automorphism group of a linear code and for checking permutation equivalence of two linear codes. Recently, both Euclidean and Hermitian hulls have found another application to quantum error correcting codes with entanglements. This paper aims to explore explicit constructions of families of MDS linear codes with one-dimensional hull for both cases. We use tools from algebraic function fields in one variable to study such codes. Sufficient conditions for an algebraic geometry code of genus zero to have one-dimensional hull are provided, and some construction methods are presented. We construct many families of MDS linear codes with one-dimensional hull for the Euclidean case and three families for the Hermitian case, respectively." @default.
- W3115247306 created "2021-01-05" @default.
- W3115247306 creator A5057963502 @default.
- W3115247306 date "2022-03-10" @default.
- W3115247306 modified "2023-09-25" @default.
- W3115247306 title "MDS linear codes with one-dimensional hull" @default.
- W3115247306 cites W1557415002 @default.
- W3115247306 cites W1982432882 @default.
- W3115247306 cites W1986971697 @default.
- W3115247306 cites W1999774889 @default.
- W3115247306 cites W2026316191 @default.
- W3115247306 cites W2041788275 @default.
- W3115247306 cites W2061270859 @default.
- W3115247306 cites W2066728319 @default.
- W3115247306 cites W2076748366 @default.
- W3115247306 cites W2082432729 @default.
- W3115247306 cites W2109365199 @default.
- W3115247306 cites W2119117325 @default.
- W3115247306 cites W2148402917 @default.
- W3115247306 cites W2282104735 @default.
- W3115247306 cites W2284727451 @default.
- W3115247306 cites W2491978534 @default.
- W3115247306 cites W2592169574 @default.
- W3115247306 cites W2593067933 @default.
- W3115247306 cites W2791247040 @default.
- W3115247306 cites W2791809676 @default.
- W3115247306 cites W2885836637 @default.
- W3115247306 cites W2887058924 @default.
- W3115247306 cites W2887496486 @default.
- W3115247306 cites W2897844431 @default.
- W3115247306 cites W2945051308 @default.
- W3115247306 cites W2962839811 @default.
- W3115247306 cites W2962894585 @default.
- W3115247306 cites W2963031904 @default.
- W3115247306 cites W2963105100 @default.
- W3115247306 cites W2963827199 @default.
- W3115247306 cites W2964049463 @default.
- W3115247306 cites W2964293057 @default.
- W3115247306 cites W2991354072 @default.
- W3115247306 cites W3095860163 @default.
- W3115247306 cites W3121556672 @default.
- W3115247306 cites W3133251668 @default.
- W3115247306 doi "https://doi.org/10.1007/s12095-022-00559-6" @default.
- W3115247306 hasPublicationYear "2022" @default.
- W3115247306 type Work @default.
- W3115247306 sameAs 3115247306 @default.
- W3115247306 citedByCount "3" @default.
- W3115247306 countsByYear W31152473062021 @default.
- W3115247306 countsByYear W31152473062022 @default.
- W3115247306 crossrefType "journal-article" @default.
- W3115247306 hasAuthorship W3115247306A5057963502 @default.
- W3115247306 hasBestOaLocation W31152473062 @default.
- W3115247306 hasConcept C11413529 @default.
- W3115247306 hasConcept C114614502 @default.
- W3115247306 hasConcept C118615104 @default.
- W3115247306 hasConcept C127413603 @default.
- W3115247306 hasConcept C129782007 @default.
- W3115247306 hasConcept C136119220 @default.
- W3115247306 hasConcept C157125643 @default.
- W3115247306 hasConcept C199104240 @default.
- W3115247306 hasConcept C202444582 @default.
- W3115247306 hasConcept C2400350 @default.
- W3115247306 hasConcept C2524010 @default.
- W3115247306 hasConcept C33923547 @default.
- W3115247306 hasConcept C37423430 @default.
- W3115247306 hasConcept C57273362 @default.
- W3115247306 hasConcept C73666251 @default.
- W3115247306 hasConcept C94940 @default.
- W3115247306 hasConceptScore W3115247306C11413529 @default.
- W3115247306 hasConceptScore W3115247306C114614502 @default.
- W3115247306 hasConceptScore W3115247306C118615104 @default.
- W3115247306 hasConceptScore W3115247306C127413603 @default.
- W3115247306 hasConceptScore W3115247306C129782007 @default.
- W3115247306 hasConceptScore W3115247306C136119220 @default.
- W3115247306 hasConceptScore W3115247306C157125643 @default.
- W3115247306 hasConceptScore W3115247306C199104240 @default.
- W3115247306 hasConceptScore W3115247306C202444582 @default.
- W3115247306 hasConceptScore W3115247306C2400350 @default.
- W3115247306 hasConceptScore W3115247306C2524010 @default.
- W3115247306 hasConceptScore W3115247306C33923547 @default.
- W3115247306 hasConceptScore W3115247306C37423430 @default.
- W3115247306 hasConceptScore W3115247306C57273362 @default.
- W3115247306 hasConceptScore W3115247306C73666251 @default.
- W3115247306 hasConceptScore W3115247306C94940 @default.
- W3115247306 hasFunder F4320334897 @default.
- W3115247306 hasIssue "5" @default.
- W3115247306 hasLocation W31152473061 @default.
- W3115247306 hasLocation W31152473062 @default.
- W3115247306 hasOpenAccess W3115247306 @default.
- W3115247306 hasPrimaryLocation W31152473061 @default.
- W3115247306 hasRelatedWork W2605102649 @default.
- W3115247306 hasRelatedWork W2741525217 @default.
- W3115247306 hasRelatedWork W3017141146 @default.
- W3115247306 hasRelatedWork W3115247306 @default.
- W3115247306 hasRelatedWork W4210266671 @default.
- W3115247306 hasRelatedWork W4286235966 @default.
- W3115247306 hasRelatedWork W4287549962 @default.
- W3115247306 hasRelatedWork W4308758208 @default.