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cs.IT2022★ 1 cited
Free Resolutions and Generalized Hamming Weights of binary linear codes
Ignacio García-Marco, Irene Márquez-Corbella, Edgar Martínez-Moro +1
In this work, we explore the relationship between free resolution of some monomial ideals and Generalized Hamming Weights (GHWs) of binary codes. More precisely, we look for a stru…
cs.IT2021★ 6 cited
On the generalized Hamming weights of hyperbolic codes
Eduardo Camps-Moreno, Ignacio García-Marco, Hiram H. López +3
A hyperbolic code is an evaluation code that improves a Reed-Muller because the dimension increases while the minimum distance is not penalized. We give the necessary and sufficien…