Steiner Triple System

  • Thread starter pupeye11
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Homework Statement



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


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.
 
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Answers and Replies

  • #2
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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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