A note on relative hemisystems of Hermitian generalised quadrangles

John Bamberg, Melissa Lee, Eric Swartz

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In this paper we introduce a set of sufficient criteria for the construction of relative hemisystems of the Hermitian space H (3 , q2) , unifying all known infinite families. We use these conditions to provide new proofs of the existence of the known infinite families of relative hemisystems. Reproving these results has allowed us to find new relative hemisystems closely related to an infinite family of Cossidente’s, and develop techniques that are likely to be useful in finding relative hemisystems in future.

Original languageEnglish
Pages (from-to)131-144
Number of pages14
JournalDesigns Codes and Cryptography
Issue number1
Publication statusPublished - 1 Oct 2016
Externally publishedYes


  • Classical polar space
  • Hermitian variety
  • Relative hemisystem

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