A generalized floor bound for the minimum distance of geometric Goppa codes

DOI10.1016/j.jpaa.2005.09.016zbMath1102.94030arXivmath/0408341OpenAlexW1995936433MaRDI QIDQ2502925

Jason McCullough, Benjamin Lundell

Publication date: 13 September 2006

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0408341

zbMATH Keywords

Hermitian curveSuzuki curve

Mathematics Subject Classification ID

Bounds on codes (94B65) Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27) Applications to coding theory and cryptography of arithmetic geometry (14G50)

Related Items (12)

The order bound for general algebraic geometric codes ⋮ New lower bounds for the minimum distance of generalized algebraic geometry codes ⋮ Algebraic geometric codes on many points from Kummer extensions ⋮ Suzuki-invariant codes from the Suzuki curve ⋮ Pure gaps on curves with many rational places ⋮ AG codes and AG quantum codes from the GGS curve ⋮ Coset bounds for algebraic geometric codes ⋮ Hermitian-invariant codes from the Hermitian curve ⋮ Further improvements on the designed minimum distance of algebraic geometry codes ⋮ AG codes and AG quantum codes from cyclic extensions of the Suzuki and Ree curves ⋮ Distance bounds for algebraic geometric codes ⋮ Delta sets for divisors supported in two points

Cites Work

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• Consecutive Weierstrass gaps and minimum distance of Goppa codes
• Riemann-Roch spaces of the Hermitian function field with applications to algebraic geometry codes and low-discrepancy sequences
• Codes From the Suzuki Function Field
• Codes and information
• Decoding algebraic-geometric codes up to the designed minimum distance
• Geometric reed-solomon codes of length 64 and over 65 over F/sub 8/
• On the weight hierarchy of geometric Goppa codes
• The minimum distance of codes in an array coming from telescopic semigroups
• Weierstrass pairs and minimum distance of Goppa codes
• Goppa codes with Weierstrass pairs

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