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移動伝搬特性に基づくグループ鍵共有の秘密鍵容量 : (その1)星型接続の場合

Hideichi Sasaoka, Hisato Iwai

Published Jul 31, 2020• 0 citations
Publisher

Abstract

Secret key agreement based on radio propagation characteristics attracts attention as a kind of the wireless physical layer security recently. There are few studies of group secret key agreement in this field, but there is a method to notify of the difference between the series of RSS. However, the conventional method has a problem in derivation of theoretical expression of the secret key capacity. This paper deals with a close numerical formula of upper and lower limit of the secret key capacity to be given in mutual information. This paper derives new theoretical expression of the secret key capacity that is a function of the SN ratio by new theoretical analysis for the mutual information. As a result, numerical computation shows that the upper limit of the secret key capacity accords with the lower limit in high SN ratio. Numerical computation also shows that leakage information increases with increase of the number of the terminals. Furthermore, the result of the computer simulation shows validity of theoretical expression.

DOI
10.14988/00027350

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Secret key agreement based on radio propagation characteristics attracts attention as a kind of the wireless physical layer security recently. There are few studies of group secret key agreement in this field, but there is a method to notify of the difference between the series of RSS. However, the conventional method has a problem in derivation of theoretical expression of the secret key capacity. This paper deals with a close numerical formula of upper and lower limit of the secret key capacity to be given in mutual information. This paper derives new theoretical expression of the secret key capacity that is a function of the SN ratio by new theoretical analysis for the mutual information. As a result, numerical computation shows that the upper limit of the secret key capacity accords with the lower limit in high SN ratio. Numerical computation also shows that leakage information increases with increase of the number of the terminals. Furthermore, the result of the computer simulation shows validity of theoretical expression.
Secret key agreement based on radio propagation characteristics attracts attention as a kind of the wireless physical layer security recently. As one field, there is group secret key agreement to notify of the difference between the series of RSS in star and chain connection system. However, the conventional method has a problem in derivation of theoretical expression of the secret key capacity. This paper deals with a close numerical formula of upper and lower limit of the secret key capacity to be given in mutual information for chain connection systems. This paper derives new theoretical expression of the secret key capacity that is a function of the SN ratio by new theoretical analysis for the mutual information. As a result, numerical computation shows that the upper limit of the secret key capacity accords with the lower limit in high SN ratio. In addition, the simulation results show validity of theoretical expression because the simulation results accord with theoretical characteristics well.
Information security schemes based on radio propagation property such as secret key agreement and secret data transmission have attracted attention in the current wireless community. For the secret key agreement from common information, a general formula of the secret key capacity is given, but a specific formula of secret key capacity has not present for secret key agreement from Gaussian correlated information, which is typical case in wireless channels. This paper deals with the theoretical analysis on secret key capacity for the mobile communication channel model. The analysis result shows that the upper band of secret key capacity is given with conditional mutual information and that the formulas of upper and lower bands are expressed as functions of the signal-to-noise power ratio and the noise power ratio of eavesdropper to legitimate user. The analysis result also shows that secret key capacity can approximately be given by conditional mutual information in the case that noise power ratio of eavesdropper to legitimate user is large.
Secret key agreement based on radio propagation characteristics attracts attention as a kind of the wireless physical layer security. However, there are few studies on drop of the secret key capacity by multiple spot eavesdropping. This paper derived theoretical formula of the secret key capacity in secret key agreement based on the complex channel coefficient. This paper also derived theoretical formula of the leakage information by multiple spot eavesdropping and showed that leakage information increased with the increase of the eavesdropping spot number. Validity of these theoretical formulas was confirmed by computer simulation. Then, this paper calculated the coefficient of correlation of the channel coefficient in the simple propagation environment and evaluated security of secret key agreement by calculating leakage information for multiple spot eavesdropping.
Wireless physical layer security attracts attention as a kind of the information security that utilized radio propagation characteristics. A lot of studies of secret key agreement are performed as the main field, but there are relatively few studies of group secret key agreement. This Paper shows the summary of the conventional method based on mobile propagation characteristics for chain connection systems and clarified a problem of the technique to notify of difference of the series of RSSI. Then, this paper suggested a method to acquire multiple group secret key using a notice of the EX-OR of the series of two binary RSSI to solve a problem. This paper also suggested a method to acquire multiple group secret key by the key distribution using the notice of the EX-OR with the series of binary RSSI and the binary random number. These suggestion methods show that the update of the secret key becomes easy by utilizing multiple group secret key.
An important building block of the cross-layer network security design is the physical-layer security which addresses problems such as whether the physical-layer can have build-in security and whether physical-layer techniques can assist the upper-layer encryption-based security techniques. This paper provides a positive answer by realizing information-theoretic secrecy with space-time transmissions. While most existing results on information-theoretic secrecy rely on some impractical assumptions, we propose a more practical approach that uses the redundancy of space-time transmissions to create intentional ambiguity to the adversary. Secrecy can be guaranteed even if the adversary has extremely high receiving signal-to-noise ratio. This approach is presented as a new way for secret-key agreement. Simulations in terms of receiving error rate and secret channel capacity are presented.