Consider the set of elements {0, 1, ..., 56}. Define57 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 arethe blocks of a design that corresponds to a projective plane of order 7.

Given: The set of elements Blocks: Define blocks as for (all computations to be done modulo…

Answered: Consider the set of elements {0, 1,…

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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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.