Cocyclic Hadamard Matrices: An Efficient Search Based Algorithm
Abstract
This dissertation is the culmination of three papers. "Counting the decimation classes of binary vectors with relatively prime fixed-density" presents the first non-exhaustive decimation class counting algorithm. "A Novel Approach to Relatively Prime Fixed Density Bracelet Generation in Constant Amortized Time" presents a novel lexicon for binary vectors based upon the Discrete Fourier Transform and develops a bracelet generation method based upon the same. "A Novel Legendre Pair Generation Algorithm" expands upon the bracelet generation algorithm and includes additional constraints imposed by Legendre Pairs. It also presents an efficient sorting and comparison algorithm based upon symmetric functions and unique Legendre Pairs.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 13, 2019
- Accession Number
- AD1079680
Entities
People
- Jonathan S. Turner
Organizations
- Air Force Institute of Technology