TY - GEN
T1 - Efficient card-based protocols for generating a hidden random permutation without fixed points
AU - Ishikawa, Rie
AU - Chida, Eikoh
AU - Mizuki, Takaaki
N1 - Funding Information:
We thank the anonymous referees whose comments helped us to improve the presentation of the paper. This work was supported by JSPS KAKENHI Grant Number 26330001.
Publisher Copyright:
© Springer International Publishing Switzerland 2015
PY - 2015
Y1 - 2015
N2 - Consider the holiday season, where there are n players who would like to exchange gifts. That is, we would like to generate a random permutation having no fixed point. It is known that such a random permutation can be obtained in a hidden form by using a number of physical cards of four colors with identical backs, guaranteeing that it has no fixed point (without revealing the permutation itself). This paper deals with such a problem and improves the known result: whereas the known protocol needs O(n2) cards of four colors, our efficient protocol uses only O(n log n) cards of two colors.
AB - Consider the holiday season, where there are n players who would like to exchange gifts. That is, we would like to generate a random permutation having no fixed point. It is known that such a random permutation can be obtained in a hidden form by using a number of physical cards of four colors with identical backs, guaranteeing that it has no fixed point (without revealing the permutation itself). This paper deals with such a problem and improves the known result: whereas the known protocol needs O(n2) cards of four colors, our efficient protocol uses only O(n log n) cards of two colors.
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U2 - 10.1007/978-3-319-21819-9_16
DO - 10.1007/978-3-319-21819-9_16
M3 - Conference contribution
AN - SCOPUS:84943639442
SN - 9783319218182
T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
SP - 215
EP - 226
BT - Unconventional Computation and Natural Computation - 14th International Conference, UCNC 2015, Proceedings
A2 - Calude, Cristian S.
A2 - Dinneen, Michael J.
PB - Springer Verlag
T2 - 14th International Conference on Unconventional Computation and Natural Computation, UCNC 2015
Y2 - 30 August 2015 through 3 September 2015
ER -