Consider the set of elements {0, 1, ..., 56}. Define 57 blocks as {0+i, 1+i, 7+i, 19+i, 23+i, 44+i, 47+i, 49+i} for i = 0, 1, ..., 56 (all computations to be done modulo 57). Prove that these 57 blocks are the blocks of a design that corresponds to a projective plane of order 7.
Consider the set of elements {0, 1, ..., 56}. Define 57 blocks as {0+i, 1+i, 7+i, 19+i, 23+i, 44+i, 47+i, 49+i} for i = 0, 1, ..., 56 (all computations to be done modulo 57). Prove that these 57 blocks are the blocks of a design that corresponds to a projective plane of order 7.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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