A Recursive Construction for 2-Designs

  • Authors:

  • Kirsten Mackenzie-Fleming

  • Affiliations:

  • Central Michigan University, Mount Pleasant, MI 48859. E-mail kirsten.fleming@cmich.edu

  • Venue:
  • Designs, Codes and Cryptography
  • Year:
  • 1998

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Abstract

This paper contains two main results: given a symmetric (v, k,λ) design, D, and a resolvable design which has the parameters of aresidual design of D, there exists a symmetric (dv + 1, v, k) design, whered = (v - k)/(k - λ), and d is a prime power; given a symmetric(v, k, λ) design, D, and a resolvable design with the parameters of aderived design of D, there exists a 2 - (ek + v, 2k, k) design, where e =k/λ,and e is a prime power.