Cover Image

Algebraic Resolutions of Seven Open Problems on Cyclic and Negacyclic Codes Supporting Designs

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Zhang, Yutong, Yang, Yaoran
Format:	Preprint
Published:	2026
Subjects:	Information Theory
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

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

Intermediate Constacyclic Codes and Scalar-Residue Reed--Muller Layers
by: Yang, Yaoran, et al.
Published: (2026)

Cyclic and Negacyclic Codes with Optimal and Best Known Minimum Distances
by: Chen, Hao, et al.
Published: (2024)

A Local Valuation Criterion for Quadratic-Permutation Interleaved Zadoff--Chu Sequences
by: Zhang, Yutong, et al.
Published: (2026)

Self-dual 2-quasi Negacyclic Codes over Finite Fields
by: Fan, Yun, et al.
Published: (2024)

Two determinant evaluations in Sun's conjectures involving Legendre symbols
by: Yang, Yaoran, et al.
Published: (2026)

Finite factorization is detected by undermonoids
by: Zhang, Yutong, et al.
Published: (2026)

A compensation theorem for the Sylow-integral invariant and counterexamples to an \texorpdfstring{$A_5$}{A5}-characterization conjecture
by: Zhang, Yutong, et al.
Published: (2026)

Generalized Quasi-Cyclic LDPC Codes: Design and Efficient Encoding
by: Smarandache, Roxana, et al.
Published: (2025)

Algebraic Expander Codes
by: Kopparty, Swastik, et al.
Published: (2026)

On the Existence of Cyclic Lattice Codes
by: Luo, Chengpin, et al.
Published: (2024)

Algebraic Properties of PAC Codes
by: Dragoi, Vlad-Florin, et al.
Published: (2026)

Testing Tensor Products of Algebraic Codes
by: Garg, Sumegha, et al.
Published: (2024)

Weight Distribution of Repeated-Root Cyclic Codes with Prime Power Lengths
by: Zhao, Wei, et al.
Published: (2023)

Hermitian Hulls of Rational Algebraic Geometry Codes and Applications in Quantum Codes
by: Sok, Lin, et al.
Published: (2025)

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

On Permutation Groups of Cyclic Codes over Finite Fields
by: Huang, Junjie, et al.
Published: (2026)

Cyclic Group Projection for Enumerating Quasi-Cyclic Codes Trapping Sets
by: Usatyuk, Vasiliy, et al.
Published: (2024)

BiD Codes: Algebraic Codes from $3 \times 3$ Kernel
by: Dash, Anirudh, et al.
Published: (2025)

The Support Designs of Several Families of Lifted Linear Codes
by: Ding, Cunsheng, et al.
Published: (2024)

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

Construction of Self-Orthogonal Quasi-Cyclic Codes and Their Application to Quantum Error-Correcting Codes
by: Gao, Mengying, et al.
Published: (2025)

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

A Sequence Construction of Cyclic Codes over Finite Fields
by: Ding, Cunsheng
Published: (2016)

An Algebraic Method for Full-Rank Characterization in Binary Linear Coding
by: Zhu, Mingyang, et al.
Published: (2026)

Cyclic Wrap-Around Multi-Access Coded Caching with Private Caches
by: Singh, Dhruv Pratap, et al.
Published: (2024)

Repeated-Root Cyclic Codes with Optimal Parameters or Best Parameters Known
by: Chen, Hao, et al.
Published: (2024)

Decoding Quasi-Cyclic Quantum LDPC Codes
by: Golowich, Louis, et al.
Published: (2024)

Algebraic Geometry Codes for Cross-Subspace Alignment in Private Information Retrieval
by: Makkonen, Okko, et al.
Published: (2024)

On Algebraic Approaches for DNA Codes with Multiple Constraints
by: Benerjee, Krishna Gopal, et al.
Published: (2025)

Small Quantum Codes from Algebraic Extensions of Generalized Bicycle Codes
by: Koukoulekidis, Nikolaos, et al.
Published: (2024)

Counterexamples, Constructions, and Nonexistence Results for Optimal Ternary Cyclic Codes
by: Bao, Jingjun, et al.
Published: (2026)

Entanglement-Assisted Quantum Quasi-Cyclic LDPC Codes with Transversal Logical Operators
by: Kumar, Pavan, et al.
Published: (2025)

Multi-Antenna Coded Caching for Multi-Access Networks with Cyclic Wrap-Around
by: Peter, Elizabath, et al.
Published: (2023)

Cyclic and BCH Codes whose Minimum Distance Equals their Maximum BCH bound
by: Bernal, José Joaquín, et al.
Published: (2024)

Explicit Representatives and Sizes of Cyclotomic Cosets and their Application to Cyclic Codes over Finite Fields
by: Zhu, Li, et al.
Published: (2024)

On the Independence Assumption in Quasi-Cyclic Code-Based Cryptography
by: Bombar, Maxime, et al.
Published: (2025)

The Dimensions of the Hulls of Conorm Codes from Algebraic Geometry Codes
by: An, Junmin, et al.
Published: (2024)

Symmetric Entropy Regions of Degrees Six and Seven
by: Li, Zihan, et al.
Published: (2024)

Reed-Solomon Codes over Cyclic Polynomial Ring with Lower Encoding/Decoding Complexity
by: Liu, Wenhao, et al.
Published: (2024)