On balanced binary sequences with two-level autocorrelation functions
Qing Xiang · IEEE Transactions on Information Theory · 1998
Recently, Maschietti (Des., Codes Cryptogr., vol.14, p.89, 1998) constructed several families of (2/sup m/-1,2/sup m-1/-1,2/sup m-2/-1) cyclic difference sets from monomial hyperovals. In this correspondence, we consider the binary sequences associated to the difference sets constructed by Maschietti. We give algebraic proof of the fact that these sequences have two-level autocorrelation functions, also we discuss the linear spans of these sequences.