Relative Generalized Hamming Weights of One-Point Algebraic Geometric Codes

DOI10.1109/TIT.2014.2345375zbMath1360.94425arXiv1403.7985OpenAlexW2019215605WikidataQ57735043 ScholiaQ57735043MaRDI QIDQ2986079

Ryutaroh Matsumoto, Yuan Luo, Olav Geil, Stefano Martin, Diego Ruano

Publication date: 16 May 2017

Published in: IEEE Transactions on Information Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.7985

Mathematics Subject Classification ID

Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27)

Related Items (13)

Higher Hamming weights for locally recoverable codes on algebraic curves ⋮ Recent Advances in Non-perfect Secret Sharing Schemes ⋮ Refined analysis of RGHWs of code pairs coming from Garcia-Stichtenoth's second tower ⋮ Relative generalized Hamming weights of \(q\)-ary Reed-Muller codes ⋮ Classical access structures of ramp secret sharing based on quantum stabilizer codes ⋮ Minimum-weight codewords of the Hermitian codes are supported on complete intersections ⋮ Relative generalized Hamming weights of cyclic codes ⋮ Relative generalized Hamming weights of evaluation codes ⋮ Message randomization and strong security in quantum stabilizer-based secret sharing for classical secrets ⋮ On the second relative greedy weight ⋮ On nested code pairs from the Hermitian curve ⋮ Hermitian codes and complete intersections ⋮ Bounds for generalized Hamming weights of general AG codes

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