A framework for constructing partial geometric difference sets

DOI10.1007/s10623-017-0400-2zbMath1387.05032OpenAlexW2744330155MaRDI QIDQ1752552

Oktay Olmez, James A. Davis

Publication date: 24 May 2018

Published in: Designs, Codes and Cryptography (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10623-017-0400-2

zbMATH Keywords

difference setsbuilding setspartial geometric designspartial geometric difference setsextended building sets

Mathematics Subject Classification ID

Combinatorial aspects of finite geometries (05B25) Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10) Combinatorial structures in finite projective spaces (51E20)

Related Items

Self‐dual association schemes, fusions of Hamming schemes, and partial geometric designs ⋮ Plateaued functions on finite nonabelian groups ⋮ Partial geometric designs having circulant concurrence matrices ⋮ Characterizations and constructions of plateaued functions on finite abelian groups ⋮ Partial geometric difference sets and partial geometric difference families ⋮ New constructions of strongly regular Cayley graphs on abelian non \(p\)-groups ⋮ Partial geometric designs from group actions ⋮ Partial geometric designs arising from association schemes

Cites Work

• Unnamed Item
• Plateaued functions and one-and-half difference sets
• Constructions of \(1 \frac{1}{2}\)-designs from orthogonal geometry over finite fields
• \(t{1\over 2}\)-designs
• On the existence of abelian Hadamard difference sets and a new family of difference sets
• A unifying construction for difference sets
• Combinatorial designs with two singular values. II: Partial geometric designs
• Character sums and difference sets
• Partial Geometric Difference Families
• Symmetric ‐Designs and ‐Difference Sets