Imagen de Portada

Explicit Constructions of Sum-Rank Metric Codes from Quadratic Kummer Extensions

Fuente: arXiv

Guardado en:

Detalles Bibliográficos
Autores principales:	Yunlong, Zhu, Chang-An, Zhao
Formato:	Preprint
Publicado:	2025
Materias:	Information Theory
Acceso en línea:	Acceder al recurso
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

Ejemplares similares

Linear Complementary Pairs of Algebraic Geometry Codes via Kummer Extensions
por: Junjie, Huang, et al.
Publicado: (2025)

Pure Gaps at Many Places and Multi-point AG Codes from Arbitrary Kummer Extensions
por: Zhang, Huachao, et al.
Publicado: (2025)

Construction and Fast Decoding of Binary Linear Sum-Rank-Metric Codes
por: Chen, Hao, et al.
Publicado: (2023)

Extension of Optimal Locally Repairable codes
por: Zhu, Yunlong, et al.
Publicado: (2025)

Constructions and List Decoding of Sum-Rank Metric Codes Based on Orthogonal Spaces over Finite Fields
por: Liu, Xuemei, et al.
Publicado: (2025)

On the List-Decodability of Random (Linear) Sum-Rank Metric Codes
por: Liu, Yang, et al.
Publicado: (2025)

On Iso-Dual MDS Codes From Elliptic Curves
por: Zhu, Yunlong, et al.
Publicado: (2025)

Dual and Covering Radii of Extended Algebraic Geometry Codes
por: Zhu, Yunlong, et al.
Publicado: (2025)

Concatenated Sum-Rank Codes
por: Lao, Huimin, et al.
Publicado: (2026)

Strong Singleton-Like Bounds, Quasi-Perfect Codes and Distance-Optimal Codes in the Sum-Rank Metric
por: Liu, Chao, et al.
Publicado: (2026)

Cyclic and Negacyclic Sum-Rank Codes
por: Chen, Hao, et al.
Publicado: (2024)

Plotkin-like Bound and Explicit Function-Correcting Code Constructions for Lee Metric Channels
por: K., Hareesh, et al.
Publicado: (2025)

Support-Guessing Decoding Algorithms in the Sum-Rank Metric
por: Jerkovits, Thomas, et al.
Publicado: (2024)

Bounds on Sphere Sizes in the Sum-Rank Metric and Coordinate-Additive Metrics
por: Couvée, Hugo Beeloo-Sauerbier, et al.
Publicado: (2024)

Construction of Quantum Rank-Metric Codes Using Hermitian Orthogonality
por: Nizuka, Ryota, et al.
Publicado: (2026)

Quasi-Perfect and Distance-Optimal Codes Sum-Rank Codes
por: Chen, Hao
Publicado: (2024)

Explicit Constructions for Rack-Aware Minimum Storage Partially Cooperative Regenerating Codes
por: Zhao, Hengming, et al.
Publicado: (2025)

$r$-Minimal Codes with Respect to Rank Metric
por: Xu, Yang, et al.
Publicado: (2024)

Codes with Large Minimum Distance in Product Codes: Explicit Constructions and Bounds
por: Berman, Amit, et al.
Publicado: (2026)

An Explicit Upper Bound of Generalized Quadratic Gauss Sums and Its Applications for Asymptotically Optimal Aperiodic Polyphase Sequence Design
por: Liu, Huaning, et al.
Publicado: (2026)

Maximum Sum-Rank Distance Codes over Finite Chain Rings
por: Martínez-Peñas, Umberto, et al.
Publicado: (2021)

Two-Step Decoding of Binary $2\times2$ Sum-Rank-Metric Codes
por: Wu, Hao, et al.
Publicado: (2025)

Polynomial Invariants of q-Matroids and Rank-Metric Codes
por: Gluesing-Luerssen, Heide, et al.
Publicado: (2025)

Whitney Numbers of Rank-Metric Lattices and Code Enumeration
por: Cotardo, Giuseppe, et al.
Publicado: (2024)

Probabilistic Guarantees to Explicit Constructions: Local Properties of Linear Codes
por: Jeronimo, Fernando Granha, et al.
Publicado: (2025)

Bounds and Constructions of $\ell$-Read Codes under the Hamming Metric
por: Sun, Yubo, et al.
Publicado: (2024)

Griesmer Bound and Constructions of Linear Codes in $b$-Symbol Metric
por: Luo, Gaojun, et al.
Publicado: (2024)

Construction of Non-special Divisors on Kummer Covers With Arbritary Ramification For LCP Codes
por: Marques, Adler, et al.
Publicado: (2026)

On Construction of Linear (Euclidean) Hull Codes over Finite Extensions Binary Fields
por: Bhowmick, Sanjit, et al.
Publicado: (2025)

Random Gabidulin Codes Achieve List Decoding Capacity in the Rank Metric
por: Guo, Zeyu, et al.
Publicado: (2024)

Random Access Codes: Explicit Constructions, Optimality, and Classical-Quantum Gaps
por: Kondo, Ruho, et al.
Publicado: (2026)

The Rate-Immediacy Barrier in Explicit Tree Code Constructions
por: Cohen, Gil, et al.
Publicado: (2025)

Optimal Rank-Metric Codes with Rank-Locality from Drinfeld Modules
por: Bastioni, Luca, et al.
Publicado: (2024)

An Elementary Approach to MacWilliams Extension Property and Constant Weight Code with Respect to Weighted Hamming Metric
por: Xu, Yang, et al.
Publicado: (2025)

Secret Sharing in the Rank Metric
por: Dinesen, Johan Vester, et al.
Publicado: (2025)

A New Construction Structure on Coded Caching with Linear Subpacketization: Non-Half-Sum Disjoint Packing
por: Cheng, Minquan, et al.
Publicado: (2025)

A New Construction Structure on MISO Coded Caching with Linear Subpacketization: Half-Sum Disjoint Packing
por: Zheng, Bowen, et al.
Publicado: (2026)

A New Construction Structure on Coded Caching with Linear Subpacketization: Non-Half-Sum Latin Rectangle
por: Yang, Yongcheng, et al.
Publicado: (2026)

Error-Correcting Codes for the Sum Channel
por: Abboud, Lyan, et al.
Publicado: (2026)

Explicit Good Codes Approaching Distance 1 in Ulam Metric
por: Goldenberg, Elazar, et al.
Publicado: (2024)