Generation of k-wise independent random variables with small randomness

Achiha Taku (), Sugita Hiroshi (), Tonohiro Kenta () and Yamamoto Yuto ()
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Achiha Taku: Meiji Yasuda Life Insurance Company, 2–1–1 Marunouchi, Chiyoda-ku, Tokyo100–0005, Japan
Sugita Hiroshi: Department of Mathematics, Graduate School of Science, Osaka University, 1–1 Machikaneyama-cho, Toyonaka, Osaka560–0043, Japan
Tonohiro Kenta: Risona Bank, Limited, 2–2–1 Bingomachi, Chuo-ku, Osaka540–8610, Japan
Yamamoto Yuto: Sumitomo Life Insurance Company, Tokyo Head Office, 7–18–24 Tsukiji, Chuo-ku, Tokyo104–8430, Japan

Monte Carlo Methods and Applications, 2019, vol. 25, issue 3, 259-270

Abstract: A quick generation method of k-wise independent uniformly distributed m-bit random variables with small randomness is proposed with applications to the Monte Carlo method.

Keywords: derandomization; universal hashing; Monte Carlo method (search for similar items in EconPapers)
Date: 2019
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DOI: 10.1515/mcma-2019-2046

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