Document Zbl 1045.68024

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A 3-party simultaneous protocol for SUM-INDEX. (English) Zbl 1045.68024

Algorithmica 36, No. 1, 89-111 (2003).

Summary: We show that the SUM-INDEX function can be computed by a 3-party simultaneous protocol in which one player sends only \(O(n^\varepsilon)\) bits and the other sends \(O(n^{1-C(\varepsilon)})\) bits (\(0<C(\varepsilon)<1\)). This implies that, in the Valiant-Nisan-Wigderson approach for proving circuit lower bounds, the SUM-INDEX function is not suitable as a target function.

MSC:

68M12

Network protocols

Keywords:

Communication complexity; SUM-INDEX function; Communication protocol; Simultaneous model; Circuit lower bound

Software:

SUM-INDEX

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