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

  • Authors:
  • Jong-Seon No;Habong Chung;Min-Seon Yun

  • Affiliations:
  • Dept. of Electron. Eng., Konkuk Univ., Seoul;-;-

  • Venue:
  • IEEE Transactions on Information Theory
  • Year:
  • 2006

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Abstract

We present a construction for binary pseudorandom sequences of period 2m-1 with ideal autocorrelation property using the polynomial zd+(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