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True dimension of some binary quadratic trace Goppa codes

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Publication:5947348
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DOI10.1023/A:1011281431366zbMath0984.94033MaRDI QIDQ5947348

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Publication date: 5 May 2002

Published in: Designs, Codes and Cryptography (Search for Journal in Brave)


zbMATH Keywords

parametersGoppa codesredundancy equationtrace operatortrue dimension


Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Linear codes (general theory) (94B05) Cyclic codes (94B15)


Related Items (6)

Improving the minimum distance bound of trace Goppa codes ⋮ On the dimension of algebraic-geometric trace codes ⋮ On the dimension of the subfield subcodes of 1-point Hermitian codes ⋮ New identities relating wild Goppa codes ⋮ Special classes of separable Goppa codes with improved parameter estimates ⋮ Proof of conjectures on the true dimension of some binary Goppa codes






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