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==Generalizations==
The generalization to [[radix]] <math>b</math> representations, for <math>b > 2</math>, and to <math>n=b^k</math>, is a '''digit-reversal permutation''', in which the base-<math>b</math> digits of the index of each element are reversed to obtain the permuted index. The same idea can also been generalized to [[mixed radix]] number systems. In such cases, the digit-reversal permutation should simultaneously
| last = Elster | first = Anne C.
| contribution = Fast bit-reversal algorithms
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| volume = 113
| year = 2013| s2cid = 14672841
| arxiv = 1204.1958
}}.</ref>
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| title = Address generators for mapping arrays in bit-reversed order
| volume = 52
| year = 2004|
| s2cid = 10043478
}}.</ref>
| last1 = Zhang | first1 = Zhao
| last2 = Zhang | first2 = Xiaodong
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