TY - GEN

T1 - Secret Key Amplification from Uniformly Leaked Key Exchange Complete Graph

AU - Sasaki, Tatsuya

AU - Agbor, Bateh Mathias

AU - Masuda, Shingo

AU - Hayashi, Yu ichi

AU - Mizuki, Takaaki

AU - Sone, Hideaki

N1 - Funding Information:
Acknowledgement. We thank the anonymous referees, whose comments have helped us to improve the presentation of the paper. We thank Mr. Shigehiro Matsuda for his valuable discussions. This work was supported by JSPS KAKENHI Grant Number 15K11983.
Publisher Copyright:
© 2018, Springer International Publishing AG, part of Springer Nature.

PY - 2018

Y1 - 2018

N2 - We assume that every pair of n players has shared a one-bit key in advance, and that each key has been completely exposed to an eavesdropper, Eve, independently with a fixed probability p (and, thus, is perfectly secure with a probability of 1-p). Using these pre-shared, possibly leaked keys, we want two designated players to share a common one-bit secret key in cooperation with other players so that Eve’s knowledge about the generated secret key will be as small as possible. The existing protocol, called the st-flow protocol, achieves this, but the specific probability that Eve knows the generated secret key is unknown. In this study, we answer this problem by showing the exact leak probability as a polynomial in p for any number n of players.

AB - We assume that every pair of n players has shared a one-bit key in advance, and that each key has been completely exposed to an eavesdropper, Eve, independently with a fixed probability p (and, thus, is perfectly secure with a probability of 1-p). Using these pre-shared, possibly leaked keys, we want two designated players to share a common one-bit secret key in cooperation with other players so that Eve’s knowledge about the generated secret key will be as small as possible. The existing protocol, called the st-flow protocol, achieves this, but the specific probability that Eve knows the generated secret key is unknown. In this study, we answer this problem by showing the exact leak probability as a polynomial in p for any number n of players.

KW - Key agreement protocol

KW - Key exchange graph

KW - Network reliability problem

KW - Privacy amplification

KW - st-numbering

UR - http://www.scopus.com/inward/record.url?scp=85043306250&partnerID=8YFLogxK

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U2 - 10.1007/978-3-319-75172-6_3

DO - 10.1007/978-3-319-75172-6_3

M3 - Conference contribution

AN - SCOPUS:85043306250

SN - 9783319751719

T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

SP - 20

EP - 31

BT - WALCOM

A2 - Rahman, M. Sohel

A2 - Sung, Wing-Kin

A2 - Uehara, Ryuhei

PB - Springer Verlag

T2 - 12th International Conference and Workshop on Algorithms and Computation, WALCOM 2018

Y2 - 3 March 2018 through 5 March 2018

ER -