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On the correlation of parity and small-depth circuits
KTH, School of Computer Science and Communication (CSC), Theoretical Computer Science, TCS.ORCID iD: 0000-0002-5379-345X
2014 (English)In: SIAM journal on computing (Print), ISSN 0097-5397, E-ISSN 1095-7111, Vol. 43, no 5, 1699-1708 p.Article in journal (Refereed) Published
Abstract [en]

We prove that the correlation of a depth-d unbounded fanin circuit of size S with parity of n variables is at most 2(-Omega(n/(log S)d-1)).

Place, publisher, year, edition, pages
2014. Vol. 43, no 5, 1699-1708 p.
Keyword [en]
circuits complexity, small-depth circuits, parity, switching lemma
National Category
Computer and Information Sciences Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-157580DOI: 10.1137/120897432ISI: 000344753500007Scopus ID: 2-s2.0-84911904342OAI: oai:DiVA.org:kth-157580DiVA: diva2:771197
Funder
EU, European Research Council, 226 203
Note

QC 20141212

Available from: 2014-12-12 Created: 2014-12-11 Last updated: 2018-01-11Bibliographically approved

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Håstad, Johan

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