### Abstract

The authors address the problem of computing the COMPARISON and ADDITION functions of two n-bit numbers using circuits of nonmonotone) MAJORITY gates. Given n Boolean variables as indicated, a nonmonotone MAJORITY gate is a Boolean function whose value is the given sign. We construct an explicit sparse polynomial whose sign computes the COMPARISON function of two integers. Similar polynomials are constructed for computing all the bits of the summation of the two integers. A crucial ingredient in our approach is the construction of a discrete version of a sparse ″delta polynomial″. WE construct sparse delta polynomials using generators matrices of certain linear block codes.

Original language | English (US) |
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Title of host publication | Proceedings of the 1993 IEEE International Symposium on Information Theory |

Publisher | Publ by IEEE |

Number of pages | 1 |

ISBN (Print) | 0780308786 |

State | Published - Jan 1 1993 |

Externally published | Yes |

Event | Proceedings of the 1993 IEEE International Symposium on Information Theory - San Antonio, TX, USA Duration: Jan 17 1993 → Jan 22 1993 |

### Publication series

Name | Proceedings of the 1993 IEEE International Symposium on Information Theory |
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### Other

Other | Proceedings of the 1993 IEEE International Symposium on Information Theory |
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City | San Antonio, TX, USA |

Period | 1/17/93 → 1/22/93 |

### All Science Journal Classification (ASJC) codes

- Engineering(all)

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## Cite this

*Proceedings of the 1993 IEEE International Symposium on Information Theory*(Proceedings of the 1993 IEEE International Symposium on Information Theory). Publ by IEEE.