Matches in SemOpenAlex for { <https://semopenalex.org/work/W2170686989> ?p ?o ?g. }
- W2170686989 endingPage "984" @default.
- W2170686989 startingPage "974" @default.
- W2170686989 abstract "Fast algorithms for multiplication in finite fields are required for several cryptographic applications, in particular for implementing elliptic curve operations over binary fields F/sub 2m/. In this paper, we present new software algorithms for efficient multiplication over F/sub 2m/ that use a Gaussian normal basis representation. Two approaches are presented, direct normal basis multiplication and a method that exploits a mapping to a ring where fast polynomial-based techniques can be employed. Our analysis, including experimental results on an Intel Pentium family processor, shows that the new algorithms are faster and can use memory more efficiently than previous methods. Despite significant improvements, we conclude that the penalty in multiplication is still sufficiently large to discourage the use of normal bases in software implementations of elliptic curve systems." @default.
- W2170686989 created "2016-06-24" @default.
- W2170686989 creator A5016365252 @default.
- W2170686989 creator A5019674369 @default.
- W2170686989 creator A5040849996 @default.
- W2170686989 creator A5045103848 @default.
- W2170686989 creator A5063516286 @default.
- W2170686989 creator A5077598713 @default.
- W2170686989 date "2006-08-01" @default.
- W2170686989 modified "2023-10-01" @default.
- W2170686989 title "Software multiplication using Gaussian normal bases" @default.
- W2170686989 cites W1515699644 @default.
- W2170686989 cites W1586130370 @default.
- W2170686989 cites W1808634574 @default.
- W2170686989 cites W1828919796 @default.
- W2170686989 cites W1860992226 @default.
- W2170686989 cites W1969341770 @default.
- W2170686989 cites W1970404001 @default.
- W2170686989 cites W1977355730 @default.
- W2170686989 cites W2032523493 @default.
- W2170686989 cites W2054020579 @default.
- W2170686989 cites W2071138259 @default.
- W2170686989 cites W2084836129 @default.
- W2170686989 cites W2096920618 @default.
- W2170686989 cites W2103774873 @default.
- W2170686989 cites W2115179918 @default.
- W2170686989 cites W2115190247 @default.
- W2170686989 cites W2121371977 @default.
- W2170686989 cites W2128504838 @default.
- W2170686989 cites W2128903967 @default.
- W2170686989 cites W2139916957 @default.
- W2170686989 cites W2150637835 @default.
- W2170686989 cites W2161531038 @default.
- W2170686989 cites W2167456209 @default.
- W2170686989 cites W2331953275 @default.
- W2170686989 doi "https://doi.org/10.1109/tc.2006.132" @default.
- W2170686989 hasPublicationYear "2006" @default.
- W2170686989 type Work @default.
- W2170686989 sameAs 2170686989 @default.
- W2170686989 citedByCount "24" @default.
- W2170686989 countsByYear W21706869892012 @default.
- W2170686989 countsByYear W21706869892013 @default.
- W2170686989 countsByYear W21706869892014 @default.
- W2170686989 countsByYear W21706869892015 @default.
- W2170686989 countsByYear W21706869892016 @default.
- W2170686989 countsByYear W21706869892020 @default.
- W2170686989 countsByYear W21706869892021 @default.
- W2170686989 crossrefType "journal-article" @default.
- W2170686989 hasAuthorship W2170686989A5016365252 @default.
- W2170686989 hasAuthorship W2170686989A5019674369 @default.
- W2170686989 hasAuthorship W2170686989A5040849996 @default.
- W2170686989 hasAuthorship W2170686989A5045103848 @default.
- W2170686989 hasAuthorship W2170686989A5063516286 @default.
- W2170686989 hasAuthorship W2170686989A5077598713 @default.
- W2170686989 hasConcept C111919701 @default.
- W2170686989 hasConcept C11413529 @default.
- W2170686989 hasConcept C114614502 @default.
- W2170686989 hasConcept C117121985 @default.
- W2170686989 hasConcept C118615104 @default.
- W2170686989 hasConcept C121332964 @default.
- W2170686989 hasConcept C134306372 @default.
- W2170686989 hasConcept C148730421 @default.
- W2170686989 hasConcept C163716315 @default.
- W2170686989 hasConcept C167615521 @default.
- W2170686989 hasConcept C171182647 @default.
- W2170686989 hasConcept C173608175 @default.
- W2170686989 hasConcept C179603306 @default.
- W2170686989 hasConcept C199360897 @default.
- W2170686989 hasConcept C201290732 @default.
- W2170686989 hasConcept C203062551 @default.
- W2170686989 hasConcept C205567592 @default.
- W2170686989 hasConcept C2777904410 @default.
- W2170686989 hasConcept C2778406171 @default.
- W2170686989 hasConcept C2780595030 @default.
- W2170686989 hasConcept C33923547 @default.
- W2170686989 hasConcept C41008148 @default.
- W2170686989 hasConcept C46268123 @default.
- W2170686989 hasConcept C48372109 @default.
- W2170686989 hasConcept C62520636 @default.
- W2170686989 hasConcept C77926391 @default.
- W2170686989 hasConcept C94375191 @default.
- W2170686989 hasConcept C94398972 @default.
- W2170686989 hasConceptScore W2170686989C111919701 @default.
- W2170686989 hasConceptScore W2170686989C11413529 @default.
- W2170686989 hasConceptScore W2170686989C114614502 @default.
- W2170686989 hasConceptScore W2170686989C117121985 @default.
- W2170686989 hasConceptScore W2170686989C118615104 @default.
- W2170686989 hasConceptScore W2170686989C121332964 @default.
- W2170686989 hasConceptScore W2170686989C134306372 @default.
- W2170686989 hasConceptScore W2170686989C148730421 @default.
- W2170686989 hasConceptScore W2170686989C163716315 @default.
- W2170686989 hasConceptScore W2170686989C167615521 @default.
- W2170686989 hasConceptScore W2170686989C171182647 @default.
- W2170686989 hasConceptScore W2170686989C173608175 @default.
- W2170686989 hasConceptScore W2170686989C179603306 @default.
- W2170686989 hasConceptScore W2170686989C199360897 @default.
- W2170686989 hasConceptScore W2170686989C201290732 @default.
- W2170686989 hasConceptScore W2170686989C203062551 @default.