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Circuits constructed with MOD q gates cannot compute AND in sublinear size

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LATIN '92 (LATIN 1992)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 583))

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Abstract

Algebraic techniques are used to prove that any circuit constructed with MOD q gates that computes the AND function must use Ω(n) gates at the first level. This constitutes the first non-trivial lower bound on the circuit size required to compute AND with MOD q gates that is valid for arbitrary q.

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References

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Imre Simon

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© 1992 Springer-Verlag Berlin Heidelberg

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Thérien, D. (1992). Circuits constructed with MOD q gates cannot compute AND in sublinear size. In: Simon, I. (eds) LATIN '92. LATIN 1992. Lecture Notes in Computer Science, vol 583. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0023851

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  • DOI: https://doi.org/10.1007/BFb0023851

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-55284-0

  • Online ISBN: 978-3-540-47012-0

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