Abstract

We present a simple modification of the Berlekamp-Massey (BM) algorithm by which one can solve the problem solved by the 'multiple-sequence BM algorithm' [Feng and Tzeng, IEEE IT Trans. 1989, 1991]. The original BM algorithm which we call 'single-sequence BM algorithm' finds a simplest linear feedback shift register (LFSR) capable of generating a given (single) sequence while the multiple-sequence BM algorithm finds a simplest LFSR capable of generating each of given (multiple) sequences. We have only to repeat our algorithm with reinitialization. The computational complexity is the same as the multiple-sequence BM algorithm. It allows that given sequences have different lengths

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