A Note on the Games-Chan Algorithm

08/31/2022

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by   Graham H. Norton, et al.

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The University of Queensland

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The Games-Chan algorithm finds the minimal period of a periodic binary sequence of period 2^n, in n iterations. We generalise this to periodic q-ary sequences (where q is a prime power) using generating functions and polynomials and apply this to find the multiplicity of x-1 in a q-ary polynomial f in log_ q(f) iterations.