Two applications of pseudo-random graphs

نویسنده

  • Andrei Romashchenko
چکیده

We discuss two constructions based on pseudo-random graphs: a bitprobe scheme with one-sided error that provides a very compact encoding for small sets from a large universe, and an asymptotically optimal randomized communication protocol that synchronizes remote strings of bits with a small Hamming distance. We show that in both cases rather standard derandomization technique (e.g., Nisan’s generator of pseudorandom bits) is enough to get surprisingly strong statements.

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تاریخ انتشار 2011