Date of Award
Bachelor of Science
Dr. James Davis
Kerdock sets are maximally sized sets of boolean functions such that the sum of any two functions in the set is bent. This paper modifies the methodology of a paper by Phelps (2015) to the problem of finding Kerdock sets in six variables containing non-quadratic elements. Using a computer search, we demonstrate that no Kerdock sets exist containing non-quadratic six- variable bent functions, and that the largest bent set containing such functions has size 8.
Clikeman, John, "Nonexistence of nonquadratic Kerdock sets in six variables" (2016). Honors Theses. 948.