On the linear complexity of Legendre sequences

  • Authors:
  • Cunsheng Ding;T. Hesseseth;Weijuan Shan

  • Affiliations:
  • Dept. of Inf. Syst. & Comput. Sci., Nat. Univ. of Singapore;-;-

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

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Abstract

We determine the linear complexity of all Legendre sequences and the (monic) feedback polynomial of the shortest linear feedback shift register that generates such a Legendre sequence. The result shows that Legendre sequences are quite good from the linear complexity viewpoint