Asymmetric cryptosystem based on optical scanning cryptography and elliptic 
curve algorithm 
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   - Open Access
   - Published: 11 May 2022

Asymmetric cryptosystem based on optical scanning cryptography and elliptic 
curve algorithm
   
   - Xiangyu Chang, 
   - Wei Li, 
   - …
   - Ting-Chung Poon 
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Scientific Reports volume 12, Article number: 7722 (2022) Cite this article
   
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Abstract

We propose an asymmetric cryptosystem based on optical scanning cryptography 
(OSC) and elliptic curve cryptography (ECC) algorithm. In the encryption stage 
of OSC, an object is encrypted to cosine and sine holograms by two pupil 
functions calculated via ECC algorithm from sender’s biometric image, which is 
sender’s private key. With the ECC algorithm, these holograms are encrypted to 
ciphertext, which is sent to the receiver. In the stage of decryption, the 
encrypted holograms can be decrypted by receiver’s biometric private key which 
is different from the sender’s private key. The approach is an asymmetric 
cryptosystem which solves the problem of the management and dispatch of keys in 
OSC and has more security strength than the conventional OSC. The feasibility 
of the proposed method has been convincingly verified by numerical and 
experiment results.

Introduction

Optical image encryption has attracted much attention in recent years because 
of its inherent capability of high parallelism and multidimensional freedoms 
(amplitude, phase and polarization). Since Refrégiér and Javidi first proposed 
the double random phase encoding (DRPE) technique1, researchers have introduced 
many extended optical encryption methods such as a series of optical 
transforms2,3,4,5, digital holography6,7,8, joint transform correlator9,10,11 
and ghost imaging12,13,14, etc. Furthermore, optical scanning cryptography 
(OSC)15,16,17,18,19 envisioned by Poon has become a prospective technology. 
Different from that of other CCD-based hologram acquisition systems, it can 
capture the hologram of a physical object with a fast scanning mechanism along 
with single-pixel recording. Indeed, some encryption systems have been proposed 
based on OSC. Yan et al. obtained experimental results of encryption using 
fingerprint keys18. Furthermore, they first demonstrated optical cryptography 
of 3-D object images in an incoherent optical system with biometric keys19

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