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Fano plane concept applied to lottery combinatorics

  1. Mar 30, 2012 #1
    I came across an interesting combinatorics optimisation description for 14numbers.
    Maybe someone good in combinatorics can expand this fano plane concept to a full 45 numbers lottery design. Any suggestions?
    http://en.wikipedia.org/wiki/Transylvania_lottery
     
  2. jcsd
  3. Mar 30, 2012 #2
    Rephrasing the question,

    (1) find a way to overlap different sets of 14 numbers to form 2 sets X 3combos =6numbers, without duplicating exactly any of 6numbers.

    (2) Expand the link's limited 14numbers fano plane coverage from scretch to N, numbers.

    Any ideas how to go about (1) or (2)?
     
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