New 2-designs from strong difference families

DOI10.1016/j.ffa.2017.12.011zbMath1380.05018arXiv1702.07500OpenAlexW2963616009MaRDI QIDQ1696771

Tao Feng, Xiao Miao Wang, Simone Costa

Publication date: 15 February 2018

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.07500

zbMATH Keywords

2-designrelative difference familycyclotomic classPaley difference multisetstrong difference family

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Other designs, configurations (05B30)

Related Items (16)

Cyclic balanced sampling plans excluding contiguous units with block size four ⋮ Partitioned difference families and harmonious linear spaces ⋮ Balanced \(( \mathbb{Z}_{2u}\times \mathbb{Z}_{38v}, \{3, 4, 5\}, 1)\) difference packings and related codes ⋮ Infinite families of 2-designs from a class of affine-invariant codes ⋮ Constructions of balanced \((N, M, \{4, 5\}, 1; 2)\) multilength variable-weight optical orthogonal codes ⋮ Existence of strong difference families and constructions for eight new 2‐designs ⋮ On optimal (Z6m×Z6n,4,1) and (Z2m×Z18n,4,1) difference packings and their related codes ⋮ Partitionable sets, almost partitionable sets, and their applications ⋮ Bounds and constructions for multilength variable-weight optical orthogonal codes ⋮ On balanced \(( \mathbb{Z}_{4 u} \times \mathbb{Z}_{8 v}, \{4, 5 \}, 1)\) difference packings ⋮ The first families of highly symmetric Kirkman triple systems whose orders fill a congruence class ⋮ On silver and golden optical orthogonal codes ⋮ Frame difference families and resolvable balanced incomplete block designs ⋮ Strong difference families of special types ⋮ Hadamard partitioned difference families and their descendants ⋮ Super-regular Steiner 2-designs

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