Cover Image

Cyclotomic finite-field Fourier spectra: Galois descent, native subfields, and residual coding

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Kumallagov, David, Sizikov, Daniil, Zarubin, Anton
Format:	Preprint
Published:	2026
Subjects:	Commutative Algebra Information Theory Group Theory 12E20, 11T71, 94B05, 94B15, 68W30
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

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

Quantum codes from affine variety codes and their subfield-subcodes
by: Galindo, Carlos, et al.
Published: (2014)

On metacyclic p-group codes
by: Chahal, Seema, 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)

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

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

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

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

Gröbner bases and the second generalized Hamming weight of a linear code
by: de Alba, Hernán, 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)

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)

The trace dual of nonlinear skew cyclic codes
by: Bossaller, Daniel, et al.
Published: (2025)

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

Self-dual codes with group actions and invariants
by: Takabayashi, Futo
Published: (2026)

Quaternary codes with new parameters from two-generator simplicial complexes
by: Yadav, Ankit, et al.
Published: (2026)

Subfield subcodes of projective Reed-Muller codes
by: Gimenez, Philippe, et al.
Published: (2023)

Locally recoverable $J$-affine variety codes
by: Galindo, Carlos, et al.
Published: (2019)

Construction of DNA codes using $θ$-skew cyclic codes over $\mathbb{F}_4 + v \mathbb{F}_4$
by: Kabore, Joël, et al.
Published: (2025)

A characterization for an almost MDS code to be a near MDS code and a proof of the Geng-Yang-Zhang-Zhou conjecture
by: Qiang, Shiyuan, et al.
Published: (2024)

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

Skew cyclic codes over $\mathbb{Z}_4+v\mathbb{Z}_4$ with derivation: structural properties and computational results
by: Suprijanto, Djoko, et al.
Published: (2021)

Nonlinear Reed-Solomon codes and nonlinear skew quasi-cyclic codes
by: Bossaller, Daniel, et al.
Published: (2025)

The maximum number of nonzero weights of linear rank-metric codes
by: Castello, Chiara, et al.
Published: (2025)

New QEC codes and EAQEC codes from repeated-root cyclic codes of length $2^rp^s$
by: Li, Lanqiang, et al.
Published: (2024)

Good iso-dual AG-codes from towers of function fields
by: Chara, María, et al.
Published: (2025)

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

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

On the Algebraic Structure Underlying the Support Enumerators of Linear Codes
by: Kenjale, Nitin, et al.
Published: (2026)

Hermitian-Lifted Codes
by: López, Hiram H., et al.
Published: (2020)

The Sequence Reconstruction of Permutations under Hamming Metric with Small Errors
by: Abdollahi, A., et al.
Published: (2026)

Rank Distribution and Dynamics of Gram Matrices from Binary m-Sequences with Applications to LCD Codes
by: Liu, Hengfeng, et al.
Published: (2026)

Information-Set Decoding for Convolutional Codes
by: Gassner, Niklas, et al.
Published: (2024)

On covering radius of generalized Zetterberg codes
by: Yan, Haode, et al.
Published: (2025)

Quasi-twisted codes and their connection with additive constacyclic codes over finite fields
by: Abdukhalikov, Kanat, et al.
Published: (2026)

Galois hulls of constacyclic codes over affine algebra rings
by: Debnath, Indibar, et al.
Published: (2024)

Angle Between Two Vectors over Finite Fields and an Application to Projective Unique Decoding
by: Otal, Kamil
Published: (2026)