Characterization of the third descent points for the kerror linear complexity of 2nperiodic binary sequences
Abstract
In this paper, a structural approach for determining CELCS (critical error linear complexity spectrum) for the kerror linear complexity distribution of 2nperiodic binary sequences is developed via the sieve method and GamesChan algorithm. Accordingly, the third descent point (critical point) distribution of the kerror linear complexity for 2n periodic binary sequences is characterized. As a consequence, we derive the complete counting functions on the 5error linear complexity of 2n periodic binary sequences when it is the third descent point. With the structural approach proposed here, one can further characterize other third and fourth descent points of the kerror linear complexity for 2n periodic binary sequences.
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