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bfcab2431cfc6d7177b0 · The Exact Multiplicative Complexity of the Hamming Weight Function

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 addition and multiplication modulo 2 (alternatively, XOR and conjunction gates) only. The number of multiplications necessary and sufficient to build

Официальный источник · 2005-09-13

Полные импортированные сведения карточки
{
  "title_en": "The Exact Multiplicative Complexity of the Hamming Weight Function",
  "designation": "",
  "series": "",
  "status": "",
  "date": "2005-09-13",
  "date_original": "September 13, 2005",
  "url": "https://www.nist.gov/publications/exact-multiplicative-complexity-hamming-weight-function",
  "source": "NIST Publications",
  "display_en": "",
  "authors_en": "Rene C. Peralta , Joan Boyar",
  "abstract_excerpt_en": "We consider the problem of computing the Hamming weight of an n-bit vector using a circuit with gates for addition and multiplication modulo 2 (alternatively, XOR and conjunction gates) only. The number of multiplications necessary and sufficient to build",
  "id": "bfcab2431cfc6d7177b0",
  "sources": [
    "NIST Publications"
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  "source_records": [
    {
      "title_en": "The Exact Multiplicative Complexity of the Hamming Weight Function",
      "designation": "",
      "series": "",
      "status": "",
      "date": "2005-09-13",
      "date_original": "September 13, 2005",
      "url": "https://www.nist.gov/publications/exact-multiplicative-complexity-hamming-weight-function",
      "source": "NIST Publications",
      "display_en": "",
      "authors_en": "Rene C. Peralta , Joan Boyar",
      "abstract_excerpt_en": "We consider the problem of computing the Hamming weight of an n-bit vector using a circuit with gates for addition and multiplication modulo 2 (alternatively, XOR and conjunction gates) only. The number of multiplications necessary and sufficient to build"
    }
  ],
  "translation_state": "none"
}