Binary pseudorandom sequences of period 2/sup m/-1 with ideal autocorrelation generated by the polynomial z/sup d/+(z+1)/sup d/

We present a construction for binary pseudorandom sequences of period 2/sup m/-1 with ideal autocorrelation property using the polynomial z/sup d/+(z+1)/sup d/. We show that the sequence obtained from the polynomial becomes an m-sequence for certain values of d. We also find a few values of d which yield new binary sequences with ideal autocorrelation property when m is 3k/spl plusmn/1, where k is a positive integer. These new sequences are represented using a trace function and the results are tabulated.