Asymmetric multiple-image encryption system based on a chirp z-transform

Edward Mosso; Omar Suárez; Néstor Bolognini

doi:10.1364/AO.58.005674

Applied Optics
Vol. 58,
Issue 21,
pp. 5674-5680
(2019)
•https://doi.org/10.1364/AO.58.005674

Asymmetric multiple-image encryption system based on a chirp z-transform

Edward Mosso, Omar Suárez, and Néstor Bolognini

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Edward Mosso, Omar Suárez, and Néstor Bolognini, "Asymmetric multiple-image encryption system based on a chirp z-transform," Appl. Opt. 58, 5674-5680 (2019)

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Abstract

An asymmetric multi-image encryption system based on the chirp z-transform (CZT) is demonstrated. The setup is a hybrid architecture that combines a double-random-phase encryption scheme in $4 f$ configuration and a multiplexing procedure based on the CZT. The setup allows encodement of multiple images and their transmittal in a single multiplexed element. The decryption stage has a compact design that allows retrieval of several data without cross-talk noise. Since the system is asymmetric, the users’ decryption keys are different from those used in the encryption process, resulting in an encoding scheme resistant to cryptanalysis attacks. It is demonstrated that multiplexing based on the CZT allows functionality expansion of the static encoding setups (optical, digital or hybrid) to a dynamic range, a fact that provides a versatile solution to handle large volumes of encrypted data efficiently and safely. The viability of this proposal is verified using virtual optical systems.

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Supplementary Material (1)

Name	Description
Visualization 1	Decrypted sequences from a multiplexed package obtained with an asymmetric multiple-image encryption system based on chirp z-transform. Each decryption uses different combinations of private and public keys.

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Equations (6)

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Frame #	$f_{1_{1}}$	$f_{2_{1}}$	$f_{s_{1}}$	$f_{1_{2}}$	$f_{2_{2}}$	$f_{s_{2}}$
1	−480	−960	480	−854.00	−1708.00	854
2	−420	−900	480	−854.00	−1708.00	854
3	−360	−840	480	−854.00	−1708.00	854
4	−300	−780	480	−854.00	−1708.00	854
5	−240	−720	480	−854.00	−1708.00	854
6	−180	−660	480	−854.00	−1708.00	854
7	−120	−600	480	−854.00	−1708.00	854
8	−60	−540	480	−854.00	−1708.00	854
9	−480	−960	480	−747.25	−1601.25	854
10	−420	−900	480	−747.25	−1601.25	854
11	−360	−840	480	−747.25	−1601.25	854
12	−300	−780	480	−747.25	−1601.25	854
13	−240	−720	480	−747.25	−1601.25	854
14	−180	−660	480	−747.25	−1601.25	854
15	−120	−600	480	−747.25	−1601.25	854
16	−60	−540	480	−747.25	−1601.25	854

By Using the Phase Masks				Resistance against Attacks
$χ (k^{'}, l^{'})$	$ζ_{i} (w^{'}, s^{'})$	$Ψ_{i} (p^{'}, q^{'})$	$Φ_{i} (u, v)$	BFA	CPA	KPA
$\sqrt$	$\sqrt$	$\sqrt$	$\sqrt$	$\sqrt$	$\sqrt$	$\sqrt$
$\sqrt$	$\sqrt$	$\sqrt$	$\times$	$\sqrt$	$\sqrt$	$\sqrt$
$\sqrt$	$\sqrt$	$\times$	$\sqrt$	$\sqrt$	$\sqrt$	$\sqrt$
$\sqrt$	$\times$	$\times$	$\times$	$\sqrt$	$\sqrt$	$\sqrt$
$\times$	$\sqrt$	$\sqrt$	$\sqrt$	$\times$	$\sqrt$	$\sqrt$
$\times$	$\sqrt$	$\sqrt$	$\times$	$\times$	$\sqrt$	$\sqrt$
$\times$	$\sqrt$	$\sqrt$	$\sqrt$	$\times$	$\sqrt$	$\sqrt$

Frame #	$f_{1_{1}}$	$f_{2_{1}}$	$f_{s_{1}}$	$f_{1_{2}}$	$f_{2_{2}}$	$f_{s_{2}}$
1	−480	−960	480	−854.00	−1708.00	854
2	−420	−900	480	−854.00	−1708.00	854
3	−360	−840	480	−854.00	−1708.00	854
4	−300	−780	480	−854.00	−1708.00	854
5	−240	−720	480	−854.00	−1708.00	854
6	−180	−660	480	−854.00	−1708.00	854
7	−120	−600	480	−854.00	−1708.00	854
8	−60	−540	480	−854.00	−1708.00	854
9	−480	−960	480	−747.25	−1601.25	854
10	−420	−900	480	−747.25	−1601.25	854
11	−360	−840	480	−747.25	−1601.25	854
12	−300	−780	480	−747.25	−1601.25	854
13	−240	−720	480	−747.25	−1601.25	854
14	−180	−660	480	−747.25	−1601.25	854
15	−120	−600	480	−747.25	−1601.25	854
16	−60	−540	480	−747.25	−1601.25	854

By Using the Phase Masks				Resistance against Attacks
$χ (k^{'}, l^{'})$	$ζ_{i} (w^{'}, s^{'})$	$Ψ_{i} (p^{'}, q^{'})$	$Φ_{i} (u, v)$	BFA	CPA	KPA
$\sqrt$	$\sqrt$	$\sqrt$	$\sqrt$	$\sqrt$	$\sqrt$	$\sqrt$
$\sqrt$	$\sqrt$	$\sqrt$	$\times$	$\sqrt$	$\sqrt$	$\sqrt$
$\sqrt$	$\sqrt$	$\times$	$\sqrt$	$\sqrt$	$\sqrt$	$\sqrt$
$\sqrt$	$\times$	$\times$	$\times$	$\sqrt$	$\sqrt$	$\sqrt$
$\times$	$\sqrt$	$\sqrt$	$\sqrt$	$\times$	$\sqrt$	$\sqrt$
$\times$	$\sqrt$	$\sqrt$	$\times$	$\times$	$\sqrt$	$\sqrt$
$\times$	$\sqrt$	$\sqrt$	$\sqrt$	$\times$	$\sqrt$	$\sqrt$

Abstract

Supplementary Material (1)

Cited By

Figures (6)

Tables (3)

Equations (6)

Applied Optics