Refined analysis of RGHWs of code pairs coming from Garcia-Stichtenoth's second tower
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Publication:5241137
zbMath1423.94128arXiv1511.06230MaRDI QIDQ5241137
Olav Geil, Diego Ruano, Stefano Martin, Umberto Martínez-Peñas
Publication date: 30 October 2019
Full work available at URL: https://arxiv.org/abs/1511.06230
generalized Hamming weightssecret sharingalgebraic geometric codesrelative generalized Hamming weightsasymptotically good ramp secret sharing schemes
Bounds on codes (94B65) Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27) Authentication, digital signatures and secret sharing (94A62)
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Cites Work
- The relative generalized Hamming weight of linear \(q\)-ary codes and their subcodes
- Weierstrass semigroups in an asymptotically good tower of function fields
- On the asymptotic behaviour of some towers of function fields over finite fields
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- Relative generalized Hamming weights of \(q\)-ary Reed-Muller codes
- Relative Generalized Hamming Weights of One-Point Algebraic Geometric Codes
- Some New Characters on the Wire-Tap Channel of Type II
- The Order Bound on the Minimum Distance of the One-Point Codes Associated to the Garcia–Stichtenoth Tower
- Generalized Hamming weights for linear codes
- Geometric approach to higher weights
- Secure Computation from Random Error Correcting Codes
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