Construction of pseudorandom binary sequences using additive characters over GF(2~k) II

摘要

In a series of papers Mauduit and Sárk?zy introduced measures of pseudorandomness and they constructed large families of sequences with strong pseudorandom properties. In later papers the structure of families of binary sequences was also studied. In these constructions fields with prime order were used. Throughout this paper the structure of a family of binary sequences based on GF(2~k) will be studied.