In a series of papers Mauduit and Sárközy (partly with coauthors) studied finite pseudorandom binary sequences and they constructed
sequences with strong pseudorandom properties. In these constructions fields with prime order were used. In this paper a new
construction is presented, which is based on finite fields of order 2
k
.
Key words and phrases binary sequence - character sums normality measure - pseudorandom
Mathematics subject classification numbers 68P25 - 11T23
Communicated by András Sárközy