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Hadamard Matrices with Cocyclic Core
- Source :
- idUS: Depósito de Investigación de la Universidad de Sevilla, Universidad de Sevilla (US), idUS. Depósito de Investigación de la Universidad de Sevilla, instname, Mathematics, Vol 9, Iss 857, p 857 (2021), Mathematics, Volume 9, Issue 8
- Publication Year :
- 2021
- Publisher :
- MDPI, 2021.
-
Abstract
- Since Horadam and de Launey introduced the cocyclic framework on combinatorial designs in the 1990s, it has revealed itself as a powerful technique for looking for (cocyclic) Hadamard matrices. Ten years later, the series of papers by Kotsireas, Koukouvinos and Seberry about Hadamard matrices with one or two circulant cores introduced a different structured approach to the Hadamard conjecture. This paper is built on both strengths, so that Hadamard matrices with cocyclic cores are introduced and studied. They are proved to strictly include usual Hadamard matrices with one and two circulant cores, and therefore provide a wiser uniform approach to a structured Hadamard conjecture. Junta de Andalucía FQM-016
- Subjects :
- Difference set
Cocyclic matrix
General Mathematics
Mathematics::Classical Analysis and ODEs
Circulant matrix
0102 computer and information sciences
cocyclic matrix
01 natural sciences
Combinatorial design
Hadamard transform
Computer Science (miscellaneous)
0101 mathematics
Engineering (miscellaneous)
Hadamard matrix
Mathematics
Discrete mathematics
circulant matrix
Conjecture
Series (mathematics)
lcsh:Mathematics
010102 general mathematics
difference set
lcsh:QA1-939
010201 computation theory & mathematics
Core (graph theory)
Subjects
Details
- Database :
- OpenAIRE
- Journal :
- idUS: Depósito de Investigación de la Universidad de Sevilla, Universidad de Sevilla (US), idUS. Depósito de Investigación de la Universidad de Sevilla, instname, Mathematics, Vol 9, Iss 857, p 857 (2021), Mathematics, Volume 9, Issue 8
- Accession number :
- edsair.doi.dedup.....43ab7e4624101ea92d7e9c17f8c5fcad