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Electronic Colloquium on Computational Complexity

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REPORTS > KEYWORD > CRYPTOGRAPHIC PROOFS:
Reports tagged with cryptographic proofs:
TR05-049 | 1st April 2005
Joan Boyar, rene peralta

The Exact Multiplicative Complexity of the Hamming Weight Function

We consider the problem of computing the Hamming weight of an n-bit vector using a circuit with gates for GF2 addition and multiplication only. We show the number of multiplications necessary and sufficient to build such a circuit is n - |n| where |n| is the Hamming weight of the ... more >>>




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