Consider the random number generator Ni = 2Ni1 mod 11. For (Ni1,Ni) {0, 1,..., 10}2 and

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Consider the random number generator Ni = 2Ni−1 mod 11. For (Ni−1,Ni) ∈

{0, 1,..., 10}2 and integer tupels with z0 + 2z1 = 0 mod 11 the equation z0Ni−1 + z1Ni = 0 mod 11 defines families of parallel straight lines, on which all points (Ni−1,Ni) lie.

These straight lines are to be analyzed. For which of the families of parallel straight lines are the gaps maximal?

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