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Steiner Triple System

  1. Jun 20, 2010 #1
    1. The problem statement, all variables and given/known data

    Use the doubling construction to construct a Steiner Triple System of order 19. (Exhibit the blocks.)

    3. The attempt at a solution

    My first question is, what is a doubling construction? I can't find it in my book or on the internet.
    Last edited: Jun 20, 2010
  2. jcsd
  3. Jun 20, 2010 #2
    Alright well I found out a doubling construction is just the fact that if an STS of order v, STS(v) exists then so does an STS(2v+1). So that means that my STS(19) is the same as a STS(39). Not sure what to do from there though...
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