| 7.1 If we take the linear congruential algorithm with an additive component of 0, Xn+1 = (aXn) mod m Then it can be shown that if m is prime and if a given value of a produces the maximum period of m - 1, then ak will also produce the maximum period, provided that k is less than m and that k and m - 1 are relatively prim e. Demonstrate this by using X0 = 1 and m = 31 and producing the sequences for ak = 3, 32, 33, and 34. | |
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