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Binary Goppa code

In mathematics and computer science, the binary Goppa code is an error-correcting code that belongs to the class of general Goppa codes originally described by Valerii Denisovich Goppa, but the binary structure gives it several mathematical advantages over non-binary variants, also providing a better fit for common usage in computers and…

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Construction and properties

Decoding

Properties and usage

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Binary Goppa code

Nodes24
Edges23
Triples41
Avg. degree1.92
Density0.083333
Components1

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Binary Goppa code

Top relations

related to References · 24
Binary Goppa code → Arthur Schmidt, Berlekamp, Bernstein, Daniel, Elwyn, Engelbert, Goppa, Goppa Codes, IEEE Transactions, IT-19, Journal, List, Lock-gray-alt-2, Lock-green, Lock-red-alt-2, Mathematical Cryptology, McEliece-type, MR, No, Previous
related to Properties and usage · 8
Binary Goppa code → Asymptotically, Because, Binary Goppa, Gilbert, Goppa, McEliece, Niederreiter, Varshamov
related to Construction and properties · 4
Binary Goppa code → An, Codewords, GF, Goppa
related to Decoding · 4
Binary Goppa code → Decoding, Goppa, Patterson, The
is a · 1
Binary Goppa code → error-correcting code that belongs to the class of general Goppa codes originally described by Valerii Denisovich Goppa

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Important terminology

displaystyle binary goppa codes error code errors polynomial cryptosystems also parity-check matrix form algorithm correction error-correcting gives decoding usage properties

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Binary Goppa codeis aerror-correcting code that belongs to the class of general Goppa codes originally described by Valerii Denisovich Goppa0.90text
Binary Goppa coderelated to Construction and propertiesAn0.60section
Binary Goppa coderelated to Construction and propertiesGoppa0.60section
Binary Goppa coderelated to Construction and propertiesGF0.60section
Binary Goppa coderelated to Construction and propertiesCodewords0.60section
Binary Goppa coderelated to DecodingDecoding0.60section
Binary Goppa coderelated to DecodingGoppa0.60section
Binary Goppa coderelated to DecodingPatterson0.60section
Binary Goppa coderelated to DecodingThe0.60section
Binary Goppa coderelated to Properties and usageBinary Goppa0.60section
Binary Goppa coderelated to Properties and usageGoppa0.60section
Binary Goppa coderelated to Properties and usageAsymptotically0.60section

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