arXiv Open Access 2022

Negative Latin Square Type Partial Difference Sets in Nonabelian Groups of Order 64

Andrew Charles Brady

Lihat Sumber

Abstrak

There exist few examples of negative Latin square type partial difference sets (NLST PDSs) in nonabelian groups. We present a list of 176 inequivalent NLST PDSs in 48 nonisomorphic, nonabelian groups of order 64. These NLST PDSs form 8 nonisomorphic strongly regular graphs. These PDSs were constructed using a combination of theoretical techniques and computer search, both of which are described. The search was run exhaustively on 212/267 nonisomorphic groups of order 64.

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math.CO

Penulis (1)

Andrew Charles Brady

Format Sitasi

APA MLA BibTeX

Brady, A.C. (2022). Negative Latin Square Type Partial Difference Sets in Nonabelian Groups of Order 64. https://arxiv.org/abs/2201.04964

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Informasi Jurnal

Tahun Terbit: 2022
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓