On integer-valued rational polynomials and depth distributions of binary codes
Chris J. Mitchell · IEEE Transactions on Information Theory · 1998
The notion of the depth of a binary sequence was introduced by Etzion. In this correspondence we show that the set of infinite sequences of finite depth corresponds to a set of equivalence classes of rational polynomials. We go on to characterize infinite sequences of finite depth in terms of their periodicity. We conclude by giving the depth distributions for all linear cyclic codes.