Cover Image

Subfield subcodes of projective Reed-Muller codes

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Gimenez, Philippe, Ruano, Diego, San-José, Rodrigo
Format:	Preprint
Published:	2023
Subjects:	Information Theory Commutative Algebra 11T71 (Primary) 94B05, 14G50, 13P25 (Secondary)
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

A recursive construction for projective Reed-Muller codes
by: San-José, Rodrigo
Published: (2023)

Structure of weighted projective Reed-Muller codes
by: Nardi, Jade, et al.
Published: (2026)

Hulls of projective Reed-Muller codes over the projective plane
by: Ruano, Diego, et al.
Published: (2023)

Indicator functions, v-numbers and Gorenstein rings in the theory of projective Reed-Muller-type codes
by: González-Sarabia, Manuel, et al.
Published: (2023)

On the generalized Hamming weights of hyperbolic codes
by: Camps-Moreno, Eduardo, et al.
Published: (2021)

Relative generalized Hamming weights of evaluation codes
by: Jaramillo-Velez, Delio, et al.
Published: (2021)

Bounds and MacWilliams Identities for codes over Artinian rings
by: Camps-Moreno, Eduardo, et al.
Published: (2025)

Gröbner bases and the second generalized Hamming weight of a linear code
by: de Alba, Hernán, et al.
Published: (2025)

Quantum error-correcting codes from projective Reed-Muller codes and their hull variation problem
by: Ruano, Diego, et al.
Published: (2023)

The dual of an evaluation code
by: López, Hiram H., et al.
Published: (2020)

Affine cartesian codes
by: Lopez, Hiram H., et al.
Published: (2012)

Recursive decoding of projective Reed-Muller codes
by: San-José, Rodrigo
Published: (2025)

An algebraic characterization of binary CSS-T codes and cyclic CSS-T codes for quantum fault tolerance
by: Camps-Moreno, Eduardo, et al.
Published: (2023)

Geometry of the Minimum Distance
by: Pawlina, John, et al.
Published: (2023)

The edge code of hypergraphs
by: Jaramillo-Velez, Delio
Published: (2024)

The weight hierarchy of decreasing norm-trace codes
by: Camps-Moreno, Eduardo, et al.
Published: (2024)

Permutation decoding of algebraic geometry codes from Hermitian and norm-trace curves
by: Lichtenwalner, Monica, et al.
Published: (2026)

Cartesian square-free codes
by: Carvalho, Cícero, et al.
Published: (2025)

Construction of Multicyclic Codes of Arbitrary Dimension $r$ via Idempotents: A Unified Combinatorial-Algebraic Approach
by: Ramanandraibe, Jean Charles, et al.
Published: (2026)

Decreasing norm-trace codes
by: Carvalho, Cícero, et al.
Published: (2022)

Computing Vanishing Ideals for Toric Codes
by: Şahin, Mesut
Published: (2022)

Next-to-minimal weight of toric codes defined over hypersimplices
by: Carvalho, Cícero, et al.
Published: (2025)

On the number of minimal and next-to-minimal weight codewords of toric codes over hypersimplices
by: Carvalho, Cícero, et al.
Published: (2025)

Parameterized affine codes
by: Lopez, Hiram H., et al.
Published: (2011)

Maximum number of zeroes of polynomials on weighted projective spaces over a finite field
by: Nardi, Jade, et al.
Published: (2025)

On the regularity index of the minimum distance function in projective nested Cartesian codes
by: Carvalho, Cicero, et al.
Published: (2026)

Complete intersections in binomial and lattice ideals
by: Lopez, Hiram H., et al.
Published: (2012)

Mathematical LoRE: Local Recovery of Erasures using Polynomials, Curves, Surfaces, and Liftings
by: Haymaker, Kathryn, et al.
Published: (2023)

Quantum-Resistant Cryptography via Universal Gröbner Bases
by: Da Silva, Sergio, et al.
Published: (2025)

Code Equivalence, Point Set Equivalence, and Polynomial Isomorphism
by: Kreuzer, Martin
Published: (2025)

Proyective Cohen-Macaulay monomial curves and their affine charts
by: García-Marco, Ignacio, et al.
Published: (2024)

Subfield-algebraic geometry
by: Fernando, José F., et al.
Published: (2025)

About the generalized Hamming weights of matrix-product codes
by: San-José, Rodrigo
Published: (2024)

Descending finite projective modules from a Novikov ring
by: Kim, Dongryul
Published: (2024)

New Quantum Stabilizer Codes from generalized Monomial-Cartesian Codes constructed using two different generalized Reed-Solomon codes
by: Campion, Oisin, et al.
Published: (2025)

Binomial edge rings of complete bipartite graphs
by: Higashitani, Akihiro
Published: (2024)

Degree bounds for fields of rational invariants of $\mathbb{Z}/p\mathbb{Z}$ and other finite groups
by: Blum-Smith, Ben, et al.
Published: (2023)

On the two-dimensional Jacobian conjecture: Magnus' formula revisited, IV
by: Lee, Kyungyong, et al.
Published: (2024)

Affine Cartesian codes with complementary duals
by: López, Hiram H., et al.
Published: (2018)

Castelnuovo-Mumford regularity of toric varieties with at most one singular point
by: García-Marco, Ignacio, et al.
Published: (2026)