Abstract
Secret key distribution is a technique for a sender and a receiver to share a secret key, which is not known by any eavesdropper, when they share no common secret information in advance. By using this technique, the sender and the receiver can transmit a message securely in the sense that the message remains secret from any eavesdropper. We introduced a secret key distribution based on the Bounded Observability (Muramatsu et al. 2010, 2013, 2015), which provides a necessary and sufficient condition for the possibility of secret key distribution. This condition describes limits on the information obtained by observation of a random object, and models the practical difficulty of completely observing random physical phenomena.
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J. Muramatsu, K. Yoshimura, P. Davis, Information theoretic security based on bounded observability, in Information Theoretic Security, vol. 5973. Lecture Notes on Computer Science. (Springer, Berlin, 2010), pp. 128–139
J. Muramatsu, K. Yoshimura, P. Davis, A. Uchida, T. Harayama, Bounded Observability ni motoduku himitu-kagi-haisou (in Japanese). Bull. Jpn Soc. Ind. Appl. Math. (Ouyou-suuri) 23(1), 11–20 (2013)
J. Muramatsu, K. Yoshimura, P. Davis, A. Uchida, T. Harayama, Secure key distribution based on bounded observability. Proc. IEEE 103(10), 1762–1780 (2015)
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Muramatsu, J. (2021). A Review of Secret Key Distribution Based on Bounded Observability. In: Takagi, T., Wakayama, M., Tanaka, K., Kunihiro, N., Kimoto, K., Ikematsu, Y. (eds) International Symposium on Mathematics, Quantum Theory, and Cryptography. Mathematics for Industry, vol 33. Springer, Singapore. https://doi.org/10.1007/978-981-15-5191-8_5
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DOI: https://doi.org/10.1007/978-981-15-5191-8_5
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