Cover Image

MDS, Hermitian Almost MDS, and Gilbert-Varshamov Quantum Codes from Generalized Monomial-Cartesian Codes

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Barbero-Lucas, Beatriz, Hernando, Fernando, Martín-Cruz, Helena, McGuire, Gary
Format:	Preprint
Published:	2023
Subjects:	Information Theory
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

New Quantum MDS Codes with Flexible Parameters from Hermitian Self-Orthogonal GRS Codes
by: Campion, Oisin, et al.
Published: (2025)

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

Proof of a Conjecture on the Sequence of Exceptional Numbers, Classifying Cyclic Codes and APN Functions
by: Hernando, Fernando, et al.
Published: (2009)

Improvement of the Gilbert-Varshamov Bound for Linear Codes and Quantum Codes
by: Yuan, Chen, et al.
Published: (2026)

MDS Generalized Convertible Code
by: Ge, Songping, et al.
Published: (2024)

Improved Decoding Algorithms for MDS and Almost-MDS Codesfrom Twisted GRS Codes
by: Wang, Guodong, et al.
Published: (2025)

Random Gilbert-Varshamov Codes for Joint Source-Channel Coding
by: Moeini, AmirPouya, et al.
Published: (2026)

Generalized GM-MDS: Polynomial Codes are Higher Order MDS
by: Brakensiek, Joshua, et al.
Published: (2023)

The Entropy Characterization of Quantum MDS Codes
by: Sun, Hua
Published: (2025)

Finite-Degree Quantum LDPC Codes Reaching the Gilbert-Varshamov Bound
by: Kasai, Kenta
Published: (2026)

On the Maximal Length of MDS Elliptic Codes
by: Chen, Haojie, et al.
Published: (2026)

On MDS Convertible Codes in the Merge Regime
by: Ramkumar, Vinayak, et al.
Published: (2025)

Column Twisted Reed-Solomon Codes as MDS Codes
by: Liu, Wei, et al.
Published: (2025)

MDS Stabilizer Poset Codes
by: Can, Mahir Bilen
Published: (2024)

MDS and NMDS Codes from the Extended Twisted Generalized Reed-Solomon Codes
by: Wang, Yanli, et al.
Published: (2026)

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

Two Classes of Quantum MDS Codes with Large Minimal Distance
by: Wang, Puyin, et al.
Published: (2024)

A Partial-Exclusion Repair Scheme for MDS Codes
by: Zhao, Wei, et al.
Published: (2026)

When Do Low-Rate Concatenated Codes Approach The Gilbert-Varshamov Bound?
by: Doron, Dean, et al.
Published: (2024)

Improved Field Size Bounds for Higher Order MDS Codes
by: Brakensiek, Joshua, et al.
Published: (2022)

The Incidence-Multiplicity Bound for Linear Exact Repair in MDS Array Codes
by: Wu, Huawei
Published: (2026)

Construction of MDS Euclidean Self-Dual Codes via Multiple Subsets
by: Meng, Weirong, et al.
Published: (2025)

Lower Bounds on Conversion Bandwidth for MDS Convertible Codes in Split Regime
by: Wang, Lewen, et al.
Published: (2025)

Block-MDS QC-LDPC Codes for Information Reconciliation in Key Distribution
by: Tauz, Lev, et al.
Published: (2024)

Optimal Repair of $(k+2, k, 2)$ MDS Array Codes
by: Zhang, Zihao, et al.
Published: (2025)

Generic Construction of Optimal-Access Binary MDS Array Codes with Smaller Sub-packetization
by: Ma, Lan, et al.
Published: (2025)

Proof of a Conjecture of Segre and Bartocci on Monomial Hyperovals in Projective Planes
by: Hernando, Fernando, et al.
Published: (2010)

Gilbert-Varshamov Bound for Codes in $L_1$ Metric using Multivariate Analytic Combinatorics
by: Goyal, Keshav, et al.
Published: (2024)

Optimal $(r,δ)$-LRCs from monomial-Cartesian codes and their subfield-subcodes
by: Galindo, Carlos, et al.
Published: (2022)

Tight Lower Bounds on the Bandwidth Cost of MDS Convertible Codes in the Split Regime
by: Singhvi, Shubhransh, et al.
Published: (2025)

Twisted and Twisted Linearized Reed--Solomon Codes, LCD and ACD MDS constructions
by: Bhowmick, Sanjit, et al.
Published: (2026)

Two Families of Linear Codes Containing Non-GRS MDS Codes
by: Abdukhalikov, Kanat, et al.
Published: (2025)

Quantum $X$-Secure $T$-Private Information Retrieval From MDS Coded Storage With Unresponsive and Byzantine Servers
by: Lu, Yuxiang, et al.
Published: (2023)

On the Reliability of Information Retrieval From MDS Coded Data in DNA Storage
by: Hanna, Serge Kas
Published: (2025)

Weakly-Private Information Retrieval From MDS-Coded Distributed Storage
by: Orvedal, Asbjørn O., et al.
Published: (2024)

Service Rate Regions of MDS Codes & Fractional Matchings in Quasi-uniform Hypergraphs
by: Ly, Hoang, et al.
Published: (2025)

Accelerating Data Access for Single Node in Distributed Storage Systems via MDS Codes
by: Shi, Hao, et al.
Published: (2025)

Non-Reed-Solomon Type MDS Codes from Elliptic Curves
by: Wang, Puyin, et al.
Published: (2025)

Near MDS and near quantum MDS codes via orthogonal arrays
by: Pang, Shanqi, et al.
Published: (2023)

Linear Exact Repair in MDS Array Codes: A General Lower Bound and Its Attainability
by: Liu, Hai, et al.
Published: (2026)