Nonexistence of sparse triple systems over abelian groups and involutions
From MaRDI portal
Publication:2458260
DOI10.1007/s10801-007-0068-1zbMath1127.05012OpenAlexW1992146282MaRDI QIDQ2458260
Publication date: 31 October 2007
Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10801-007-0068-1
Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Triple systems (05B07)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A note on reverse Steiner triple systems
- Steiner triple systems with doubly transitive automorphism groups: A corollary to the classification theorem for finite simple groups
- Homogeneous designs and geometric lattices
- On 6-sparse Steiner triple systems
- Steiner triple systems with a doubly transitive automorphism group
- Doubly homogeneous \(2\text{-}(v,k,1)\) designs
- Steiner triple systems with an involution
- Steiner triple systems with block-transitive automorphism groups
- Bicyclic Steiner triple systems
- Steiner triple systems with transrotational automorphisms
- Anti-mitre Steiner triple systems
- Asymptotically optimal erasure-resilient codes for large disk arrays.
- On reverse Steiner triple systems
- The existence of reverse Steiner triple systems
- 5-sparse Steiner triple systems of order \(n\) exist for almost all admissible \(n\)
- 1-Rotational Steiner triple systems over arbitrary groups
- Combinatorial Constructions of Low-Density Parity-Check Codes for Iterative Decoding
- The Structure of Certain Triple Systems
- A direct product construction for 5-sparse triple systems
- Some new perfect Steiner triple systems
- Construction Techniques for Anti-Pasch Steiner Triple Systems
- Extremal problems for triple systems
- Constructions for anti‐mitre Steiner triple systems
- The resolution of the anti‐mitre Steiner triple system conjecture
- Infinite classes of anti‐mitre and 5‐sparse Steiner triple systems
