Reducing the calculation of the linear complexity of u2v-periodic binary sequences to Games---Chan algorithm

  • Authors:
  • Wilfried Meidl

  • Affiliations:
  • MDBF, Sabancı University, Istanbul, Turkey 34956

  • Venue:
  • Designs, Codes and Cryptography
  • Year:
  • 2008

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Abstract

We show that the linear complexity of a u2 v -periodic binary sequence, u odd, can easily be calculated from the linear complexities of certain 2 v -periodic binary sequences. Since the linear complexity of a 2 v -periodic binary sequence can efficiently be calculated with the Games-Chan algorithm, this leads to attractive procedures for the determination of the linear complexity of a u2 v -periodic binary sequence. Realizations are presented for u = 3, 5, 7, 15.