Families of sequences and arrays with good periodic correlation properties

Families of binary sequences with good periodic correlation properties and large linear span are described which are derived from certain multiple-valued linear feedback shift registers with composite characteristic polynomials. Multiple-valued pseudorandom arrays constructed from parent m-sequences are used to describe and analyse the formation and properties of these families. A general construction is presented which includes a number of well known families as special cases. A simple method for synthesising sequence generation is also indicated.