Blind synchronization of m-sequences with even span

  • Authors:
  • Richard A. Games;Joseph J. Rushanan

  • Affiliations:
  • The MITRE Corporation, Bedford, MA;The MITRE Corporation, Bedford, MA

  • Venue:
  • EUROCRYPT '93 Workshop on the theory and application of cryptographic techniques on Advances in cryptology
  • Year:
  • 1994

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Abstract

The problem of recovering the phase on a known binary m-sequence that is corrupted by a binary noise source is considered. This problem arises in the cryptanalysis of stream ciphers formed from a nonlinear combination of m-sequences. A synchronization procedure is developed for even span n. The procedure obtains a reliable estimate of the phase of an m-sequence of span n from unreliable estimates of the phases of a small number of shifts of a fixed m-sequence of span n/2. These latter estimates can be obtained from a variety of methods available in the literature. The procedure results in a reduction of complexity but requires observing on the order of the square root of the m-sequence's period.