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Nonrandom Shuffling with Applications to the Game of Faro

Pages 842-847 | Received 01 Aug 1971, Published online: 05 Apr 2012

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David Aldous & Persi Diaconis. (1986) Shuffling Cards and Stopping Times. The American Mathematical Monthly 93:5, pages 333-348.
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Articles from other publishers (21)

Nam-Su Jho & Jooyoung Lee. (2023) Partition and mix: generalizing the swap-or-not shuffle. Designs, Codes and Cryptography 91:6, pages 2237-2254.
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Mark Sellke. (2022) Cutoff for the asymmetric riffle shuffle. The Annals of Probability 50:6.
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Kirill Denisovich Tsaregorodtsev. (2022) Format-preserving encryption: a survey. Математические вопросы криптографии Matematicheskie Voprosy Kriptografii [Mathematical Aspects of Cryptography] 13:2, pages 133-153.
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Maan Haj Rachid, Ryan Riley & Qutaibah Malluhi. (2020) Enclave-based oblivious RAM using Intel’s SGX. Computers & Security 91, pages 101711.
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Valerie Nachef, Jacques Patarin & Emmanuel VolteValerie Nachef, Jacques Patarin & Emmanuel Volte. 2017. Feistel Ciphers. Feistel Ciphers 193 201 .
Mohammad H. Alshayeji, Suood Abdulaziz Al-Roomi & Sa'ed Abed. (2016) A high-capacity and secure least significant bit embedding approach based on word and letter frequencies. Security and Communication Networks 9:18, pages 5764-5788.
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Artur Czumaj & Berthold Vöcking. 2014. Automata, Languages, and Programming. Automata, Languages, and Programming 344 355 .
Ben Morris & Phillip Rogaway. 2014. Advances in Cryptology – EUROCRYPT 2014. Advances in Cryptology – EUROCRYPT 2014 311 326 .
Persi Diaconis, Jason Fulman & Susan Holmes. (2013) Analysis of casino shelf shuffling machines. The Annals of Applied Probability 23:4.
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BEN MORRIS. (2012) Improved Mixing Time Bounds for the Thorp Shuffle. Combinatorics, Probability and Computing 22:1, pages 118-132.
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Viet Tung Hoang, Ben Morris & Phillip Rogaway. 2012. Advances in Cryptology – CRYPTO 2012. Advances in Cryptology – CRYPTO 2012 1 13 .
Richard A. Epstein. 2010. The Theory of Gambling and Statistical Logic. The Theory of Gambling and Statistical Logic 217 264 .
Eyal Kaplan, Moni Naor & Omer Reingold. (2008) Derandomized Constructions of k-Wise (Almost) Independent Permutations. Algorithmica 55:1, pages 113-133.
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Ben Morris, Phillip Rogaway & Till Stegers. 2009. Advances in Cryptology - CRYPTO 2009. Advances in Cryptology - CRYPTO 2009 286 302 .
Ben Morris. (2008) The Mixing Time of the Thorp Shuffle. SIAM Journal on Computing 38:2, pages 484-504.
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Johan Håstad. (2006) The square lattice shuffle. Random Structures and Algorithms 29:4, pages 466-474.
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E. Mossel, Y. Peres & A. Sinclair. (2004) Shuffling by Semi-Random Transpositions. Shuffling by Semi-Random Transpositions.
Laurent Saloff-Coste. 2004. Probability on Discrete Structures. Probability on Discrete Structures 263 346 .
A. Merchant & P.S. Yu. (1996) Analytic modeling of clustered RAID with mapping based on nearly random permutation. IEEE Transactions on Computers 45:3, pages 367-373.
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A. Merchant & P.S. Yu. (1992) Design and modeling of clustered RAID. Design and modeling of clustered RAID.
David Aldous & Persi Diaconis. (1987) Strong uniform times and finite random walks. Advances in Applied Mathematics 8:1, pages 69-97.
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