Quantitative analysis on key estimation by known-plaintext attacks to DRPE

Kazuya Nakano; Hiroyuki Suzuki; Masahiro Yamaguchi; Takashi Obi; Nagaaki Ohyama

doi:10.1117/12.903356

2 November 2011 Quantitative analysis on key estimation by known-plaintext attacks to DRPE

Kazuya Nakano, Hiroyuki Suzuki, Masahiro Yamaguchi, Takashi Obi, Nagaaki Ohyama

Proceedings Volume 8011, 22nd Congress of the International Commission for Optics: Light for the Development of the World; 80117V (2011) https://doi.org/10.1117/12.903356
Event: International Commission for Optics (ICO 22), 2011, Puebla, Mexico

Abstract

Double Random Phase Encoding (DRPE), which is a typical optical encryption technique, has been reported to be vulnerable to Known Plaintext-Attacks (KPAs) using a Phase Retrieval Algorithm (PRA). But the reported case in which the encryption key is successfully estimated was that the plain image was rather simple such as the image of a character. In addition, although Phase Only DRPE (PO-DRPE) was proposed to achieve more resistance to the KPA than Complex DRPE (C-DRPE) in which both amplitude and phase components are used as an encrypted image, no quantitative results about the relationship between the vulnerability and the plaintext image. In this paper, we show the result of quantitative analysis on KPA by PRA to C-DRPE and PO-DRPE, for the plaintext images of different characteristics. As a result of experiment, KPA to C-DRPE succeeded to estimate the correct key while the probability of success became lower when the number of non-zero pixel increases in the plaintext image. However, KPA to PO-DRPE enabled to estimate only "singular" keys, which are effective for no more than given plaintext/ciphertext image pair and far different from the correct encryption key. We also conducted KPA using two plaintext-ciphertext image pairs for KPA. In the case when two plaintext-ciphertext image pairs were given to KPA, the cryptanalysis succeeded with higher probability than the case of one. Moreover, the probability of success in the KPA was high even in PO-DRPE.

Citation Download Citation

Kazuya Nakano, Hiroyuki Suzuki, Masahiro Yamaguchi, Takashi Obi, and Nagaaki Ohyama "Quantitative analysis on key estimation by known-plaintext attacks to DRPE", Proc. SPIE 8011, 22nd Congress of the International Commission for Optics: Light for the Development of the World, 80117V (2 November 2011); https://doi.org/10.1117/12.903356

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available