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arxiv: 1506.03473 · v1 · pith:IXFY2SI2new · submitted 2015-06-10 · 💻 cs.DS

A Non-Oblivious Reduction of Counting Ones to Multiplication

classification 💻 cs.DS
keywords onescountingmultiplicationnumberoperationsalgorithmavailablebinary
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An algorithm counting the number of ones in a binary word is presented running in time $O(\log\log b)$ where $b$ is the number of ones. The operations available include bit-wise logical operations and multiplication.

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