Designs having the parameters of projective and affine spaces

Donovan, D. M. and Grannell, M. J. (2011). Designs having the parameters of projective and affine spaces. Designs, Codes and Cryptography, 60(3) pp. 225–240.

DOI: https://doi.org/10.1007/s10623-010-9429-1

Abstract

Two constructions are described that yield an improved lower bound for the number of 2-designs with the parameters of PG_d(n,q), and a lower bound for the number of resolved 2-designs with the parameters of AG_d(n,q).

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About

• Item ORO ID
• 29170
• Item Type
• Journal Item
• ISSN
• 1573-7586
• Keywords
• design; projective geometry; affine geometry; flats; enumeration
• Academic Unit or School
• Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
  Faculty of Science, Technology, Engineering and Mathematics (STEM)
• Copyright Holders
• © 2010 Springer Science+Business Media, LLC
• Depositing User
• Mike Grannell