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A Course in Mathematical Cryptography by Gerhard Rosenberger, Martin Kreuzer, Benjamin Fine, Gilbert Baumslag

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we may transform S so that

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with e1, em+1 =0,1,2or3 and ai = 1 or 2 for i = 1,..., m and m > 0. Multiplying by a suitable power of X we obtain

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with m > 0 and a =0,1,2 or 3. Assume that m > 1 and let

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We show by induction that

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or

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This claim ...

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