A family of diameter perfect constant-weight codes from Steiner systems
From MaRDI portal
Publication:6133631
DOI10.1016/j.jcta.2023.105790arXiv2212.00048OpenAlexW4385438484MaRDI QIDQ6133631
Yuhong Xia, Denis S. Krotov, Minjia Shi
Publication date: 21 August 2023
Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2212.00048
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Non-existence of a ternary constant weight \((16,5,15;2048)\) diameter perfect code
- The complete intersection theorem for systems of finite sets
- The exact bound in the Erdős-Ko-Rado theorem
- Construction of optimal ternary constant weight codes via Bhaskar Rao designs
- On diameter perfect constant-weight ternary codes
- Constructions for generalized Steiner systems \(\mathrm{GS}(3,4,v,2)\)
- Partitioning the planes of \(AG_{2m}(2)\) into 2-designs
- Some new 2-resolvable Steiner quadruple systems
- Optimal constant weight codes over \(Z_k\) and generalized designs
- On perfect ternary constant weight codes
- A class of perfect ternary constant-weight codes
- Ternary constant weight codes
- Hanani triple packings and optimal \(q\)-ary codes of constant weight three
- On a class of optimal constant weight ternary codes
- Optimal Quaternary Constant-Weight Codes With Weight Four and Distance Five
- INTERSECTION THEOREMS FOR SYSTEMS OF FINITE SETS
- Constructions for $q$-Ary Constant-Weight Codes
- The Sizes of Optimal $q$-Ary Codes of Weight Three and Distance Four: A Complete Solution
- On Cyclic Steiner Systems S(3, 4, 20)
- Decompositions of Edge-Colored Digraphs: A New Technique in the Construction of Constant-Weight Codes and Related Families
- 4‐*GDD(6n)s and Related Optimal Quaternary Constant‐Weight Codes
- Linear Size Optimal $q$-ary Constant-Weight Codes and Constant-Composition Codes
- Non-Binary Diameter Perfect Constant-Weight Codes
- Perfect Codes and Related Structures
- Optimal Ternary Constant-Weight Codes With Weight 4 and Distance 5
- Optimal Ternary Constant-Weight Codes of Weight Four and Distance Six
- On perfect codes and related concepts
- Inductive construction of perfect ternary constant-weight codes with distance 3
- Weakly resolvable block designs and nonbinary codes meeting the Johnson bound
This page was built for publication: A family of diameter perfect constant-weight codes from Steiner systems
