Introduction to Designs
We introduce the idea of a balanced incomplete block design, and look at some special families of such designs, namely finite projective planes, affine planes, Steiner triple systems and Hadamard designs. The connection between finite projective planes and complete sets of MOLS is established. We also describe the usefulness of difference systems in the construction of designs. Finally we give a brief introduction to some of the ideas behind error-correcting codes.
KeywordsBinary Sequence Discrete Mathematic Incidence Matrix Hadamard Matrix Steiner Triple System
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