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In page Lagged Fibonacci generator:
"The maximum period of lagged Fibonacci generators depends on the binary operation . If addition or subtraction is used, the maximum period is (2k − 1) × 2M−1[citation needed]. If multiplication is used, the maximum period is (2k − 1) × 2M−3, or 1/4 of period of the additive case. If bitwise xor is used, the maximum period is 2k − 1.
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