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2000 Mathematics Subject Classification: Primary 05B05; secondary 62K10.
This paper presents a recursive method for the construction of
balanced n-ary block designs.
This method is based on the analogy between a balanced incomplete
binary block design (B.I .E .B) and the set of all distinct linear sub-varieties of
the same dimension extracted from a finite projective geometry. If V1
is the
first B.I .E .B resulting from this projective geometry, then by regarding any
block of V1 as a...
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