difference sets and their applications
this book introduces the recent progress on the multiplier conjecture prime power conjecture lander conjecture ; including the authors and his graduate student t fengs work on the multiplier conjecture . it provides a sufficiently broad introduction to algebraic approach for studying difference sets including group ring representation theory of finite groups cyclotomic fields etc. it also introduces the intricate relationships between difference sets and cryptography for example quasi perfect sequences and cyclic 4n1 2n1 n1 difference sets bent functions and hadamard difference sets perfect nonlinear maps and semiregular relative difference sets .