A new family of relative hemisystems on the Hermitian surface

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• 作者：Antonio Cossidente (1)
  
  1. Dipartimento di Matematica Informatica ed Economia ; Universit脿 della Basilicata ; Contrada Macchia Romana ; 85100聽 ; Potenza ; Italy
  
• 关键词：Generalized quadrangle ; Relative hemisystem ; Association scheme ; 05E30 ; 51E12
• 刊名：Designs, Codes and Cryptography
• 出版年：2015
• 出版时间：May 2015
• 年：2015
• 卷：75
• 期：2
• 页码：213-221
• 全文大小：177 KB
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• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Combinatorics
  Coding and Information Theory
  Data Structures, Cryptology and Information Theory
  Data Encryption
  Discrete Mathematics in Computer Science
  Information, Communication and Circuits
  
• 出版者：Springer Netherlands
• ISSN：1573-7586

文摘

A new family of relative hemisystems on the generalized quadrangle \({\mathcal {H}}(3,q^2)\) admitting a group of order \(q^2(q+1)\) as automorphism group, is constructed. As a by product a new infinite family of hyperovals of \({\mathcal {H}}(3,q^2)\) is presented.