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Analyzing Execution Time of Card-Based Protocols

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Unconventional Computation and Natural Computation (UCNC 2018)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 10867))

Abstract

Card-based cryptography is an attractive and unconventional computation model; it provides secure computing methods using a deck of physical cards. It is noteworthy that a card-based protocol can be easily executed by non-experts such as high school students without the use of any electric device. One of the main goals in this discipline is to develop efficient protocols. The efficiency has been evaluated by the number of required cards, the number of colors, and the average number of protocol trials. Although these evaluation metrics are simple and reasonable, it is difficult to estimate the total number of operations or execution time of protocols based only on these three metrics. Therefore, in this paper, we consider adding other metrics to estimate the execution time of protocols more precisely. Furthermore, we actually evaluate some of the important existing protocols using our new criteria.

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Notes

  1. 1.

    There are also “non-committed-format” AND protocols [1, 7].

  2. 2.

    This paper addresses only AND computation because the other important primitive, XOR, can be done with only four cards and one trial [10].

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Acknowledgments

We thank the anonymous referees, whose comments have helped us to improve the presentation of the paper. This work was supported by JSPS KAKENHI Grant Number JP17K00001.

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Correspondence to Daiki Miyahara .

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Miyahara, D., Ueda, I., Hayashi, Yi., Mizuki, T., Sone, H. (2018). Analyzing Execution Time of Card-Based Protocols. In: Stepney, S., Verlan, S. (eds) Unconventional Computation and Natural Computation. UCNC 2018. Lecture Notes in Computer Science(), vol 10867. Springer, Cham. https://doi.org/10.1007/978-3-319-92435-9_11

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  • DOI: https://doi.org/10.1007/978-3-319-92435-9_11

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