Notes on q-ary interleaved sequences

(f(x), m)-interleaved sequences over F-q have been proposed and studied. Ro ughly speaking, an (f(x), m)-interleaved sequence is a sequence which is ma de of (or say, interleaved by) m component sequences with a common characte ristic polynomial (f(x)(is an element of F-q[x]). in this note, (f(x), m)-i nterleaved sequences are studied further. As a result, ii is made clear how their minimal characteristic polynomials, linear spans and periods are det ermined by their component sequences. And also, their period distribution a nd the number of (f(x), m)-interleaved sequences with maximal linear spans are derived. Furthermore, a large number of interleaved sequences with the lowest correlation among all the (f(x), m)-interleaved sequences are constr ucted.