Semiregular Large Sets

  • Authors:

  • Charles A. Cusack;Spyros S. Magliveras

  • Affiliations:

  • Department of Computer Science and Engineering, University of Nebraska–Lincoln, Lincoln, Nebraska 68588, U.S.A.;Department of Computer Science and Engineering, University of Nebraska–Lincoln, Lincoln, Nebraska 68588, U.S.A.

  • Venue:
  • Designs, Codes and Cryptography
  • Year:
  • 1999

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Abstract

Wedevelop the notion of t-homogeneous, G-semiregularlarge sets of t-designs, show that there are infinitelymany 3-homogeneous PSL(2, q)-semiregular large setswhen q\equiv 3 \mod 4, two sporadic 3-homogeneousA \GammaL(1,32)-semiregular large sets, and no otherinteresting t-homogeneous G-semiregularlarge sets for t\ge 3.