Faculty Advisor

Martin, William J.

Abstract

This project includes an exposition of the paper "Spherical Codes and Designs" and it's applications to our problem, almost orthogonal vectors. Almost orthogonal vectors can be thought of as lines through the origin that have pair wise angles close to 90 degrees. Growth rates and bounds for the cardinality of sets of almost orthogonal vectors for a tolerance and dimension of the space were investigated. Propagation techniques were developed to fill out a table initially populated by known lower bounds.

Publisher

Worcester Polytechnic Institute

Date Accepted

January 2005

Major

Physics

Project Type

Major Qualifying Project

Accessibility

Restricted-WPI community only

Advisor Department

Mathematical Sciences

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