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.

• This report represents the work of one or more WPI undergraduate students submitted to the faculty as evidence of completion of a degree requirement. WPI routinely publishes these reports on its website without editorial or peer review.

Creator

• Cheung, Matthew Gein

Publisher

• Worcester Polytechnic Institute

Identifier

• 05E003M

Advisor

• Martin, William J.

Year

• 2005

Date created

• 2005-01-01

Resource type

• Major Qualifying Project

Major

• Physics

Rights statement

• In Copyright