Document Type

Article

Publication Date

10-13-2005

First Advisor

Thomas Langley

Abstract

In contrast to Lagrange's Theorem in Finite Group Theory, we show that the ratio of the largest proper cwatset of degree d to the size of binary d-space approaches 1 as d approaches infinity. We show how to explicitly construct large cwatsets as cosets of Hamming Codes, and discuss many open questions that arise.

Comments

MSTR 05-03

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