Complete classification of Littlewood cyclotomic polynomials

The objective of this proposal is to study Littlewood cyclotomic polynomials of odd degree. In algebra, the cyclotomic polynomial is one such that has all its roots on the unit circle. Since all the coefficients of Littlewood polynomials are -1 or +1, its associates a finite binary sequence with -1 or +1 entries. Therefore, their study is closely related to the study of finite binary sequences which is a basic object in the theory of information and communication. There is an extensive research in information and communication theory on studying the merit factors of finite binary sequences. Binary sequences with low autocorrelation coefficients are the most easily distinguishable signals and they are of interest in radar, sonar, and communication systems. It was observed that all Littlewood cyclotomic polynomials have very simple factorization as a product of irreducible Littlewood cyclotomic polynomials. TO BE CONT’D

Faculty Supervisor:

Stephen Choi

Student:

Partner:

Discipline:

Mathematics

Sector:

Education; Information and Communications Technology; Technology

University:

Simon Fraser University

Program:

Globalink Research Award