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

We present a construction for binary pseudorandom sequences of period 2^m-1 with ideal autocorrelation property using the polynomial z^d+(z+1)^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±1, where k is a positive integer. These new sequences are represented using a trace function and the results are tabulated