Novák's conjecture on cyclic Steiner triple systems and its generalization

DOI10.1016/j.jcta.2021.105515zbMath1471.05014arXiv2001.06995OpenAlexW3002953830WikidataQ113871625 ScholiaQ113871625MaRDI QIDQ2049450

Tao Feng, Daniel Horsley, Xiao Miao Wang

Publication date: 25 August 2021

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.06995

zbMATH Keywords

Steiner triple systemdisjoint difference familycyclic designNovák's conjecture

Mathematics Subject Classification ID

Permutations, words, matrices (05A05) Triple systems (05B07)

Related Items (3)

Egalitarian Steiner triple systems for data popularity ⋮ The first families of highly symmetric Kirkman triple systems whose orders fill a congruence class ⋮ Internal and external partial difference families and cyclotomy

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On disjoint \((v,k,k-1)\) difference families
• Block disjoint difference families for Steiner triple systems: \(v\equiv 3 \mod 6\)
• Asymptotic behavior of the chromatic index for hypergraphs
• The existence of \((v,4,1)\) disjoint difference families with \(v\) a prime power
• On disjoint \((3t,3,1)\) cyclic difference families
• Combinatorial designs and the theorem of Weil on multiplicative character sums
• Existence of \((q,6,1)\) difference families with \(q\) a prime power
• Partitions of nonzero elements of a finite field into pairs
• The first families of highly symmetric Kirkman triple systems whose orders fill a congruence class
• Cyclic difference sets
• k-difference-cycles and the construction of cyclic t-designs
• Existence of (q,k, 1) difference families withq a prime power andk = 4, 5
• Combinatorial Designs

This page was built for publication: Novák's conjecture on cyclic Steiner triple systems and its generalization