On Weierstrass Semigroups of Some Triples on Norm-Trace Curves

DOI10.1007/978-3-642-01877-0_13zbMath1248.14029OpenAlexW2248829257MaRDI QIDQ5323005

Gretchen L. Matthews

Publication date: 23 July 2009

Published in: Lecture Notes in Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-01877-0_13

Mathematics Subject Classification ID

Curves over finite and local fields (11G20) Finite ground fields in algebraic geometry (14G15) Riemann surfaces; Weierstrass points; gap sequences (14H55)

Cites Work

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• On Weierstrass semigroups and sets: a review with new results
• Consecutive Weierstrass gaps and minimum distance of Goppa codes
• A certain graph obtained from a set of several points on a Riemann surface
• Weierstrass multiple loci of \(n\)-pointed algebraic curves
• On codes from norm-trace curves
• On Goppa codes and Weierstrass gaps at several points
• On the index of the Weierstrass semigroup of a pair of points on a curve
• Weierstrass semigroups and codes from a quotient of the Hermitian curve
• Two-Point Codes on Norm-Trace Curves
• Codes From the Suzuki Function Field
• Weierstrass pairs and minimum distance of Goppa codes
• Goppa codes with Weierstrass pairs

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