On the generalized Hamming weights of hyperbolic codes

E Camps-Moreno, I García-Marco… - Journal of Algebra …, 2024 - World Scientific
A hyperbolic code is an evaluation code that improves a Reed–Muller code because the
dimension increases while the minimum distance is not penalized. We give necessary and …

[PDF][PDF] On decoding hyperbolic codes

E Camps-Moreno, I García-Marco… - arXiv preprint arXiv …, 2021 - researchgate.net
Few decoding algorithms for hyperbolic codes are known in the literature, this article tries to
fill this gap. The first part of this work compares hyperbolic codes and Reed-Muller codes. In …

From primary to dual affine variety codes over the Klein quartic

O Geil - Designs, Codes and Cryptography, 2022 - Springer
In Geil and Özbudak (Cryptogr Commun 11 (2): 237–257, 2019) a novel method was
established to estimate the minimum distance of primary affine variety codes and a thorough …