Presence of dynamics of quantum dots in the digital signature using DNA alphabet and chaotic S-box
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Presence of dynamics of quantum dots in the digital signature using DNA alphabet and chaotic S-box Nafiseh Hematpour1 · Sodeif Ahadpour1
· Sohrab Behnia2
Received: 4 April 2020 / Revised: 25 August 2020 / Accepted: 7 October 2020 / © Springer Science+Business Media, LLC, part of Springer Nature 2020
Abstract The integrity and authenticity of the message, and it’s nonrepudiation, are provided by digital signatures. We introduce quantum digital signature schemes based on Quantum Dots, where DNA coding is used to increase the intricacy of phase space. We attain the optimal security standard by constructing a deterministic dynamic system in a finite phase space with n points and by using symbolic dynamics. Also, given the chaotic Substitution box(S-box), a confusing step has been added for greater security. The introduced quantum dynamical map is used to create procedures to resistance again the common attacks in the digital signature such as non-repudiation, unforgeability, and transferability. Its security depends on the length of the signature, directly. Keywords Quantum digital signature · Quantum dots · Chaos · DNA coding · Substitution box(S-box) · Repudiation · Forgery
1 Introduction In the digital age, in the presence of attackers, it is an important issue to achieve security. We need digital signatures as public-key algorithms to eliminate the cheating participants’ situation. AES and DES algorithms are the fast computational methods used in secret key encryption: but in the first step, the secret key must be moved to the recipient, which is often handled by a public key process. Mathematical schemes called digital signatures are used to show the authenticity of digital messages and documents. Whitfield Diffie and Martin Hellman in 1976 introduced the digital signature [25]. It is used at software distribution, financial transactions, and the software of contract management [55, 57]. The chaotic time series created by the nonlinear dynamical systems can be used to enhance safety. Due to Sodeif Ahadpour
[email protected] Nafiseh Hematpour n [email protected] 1
Department of Physics, University of Mohaghegh Ardabili, Ardabil, Iran
2
Urmia University of Technology, Department of Physics Urmia, Urmia, Iran
Multimedia Tools and Applications
the nature of the nonlinear dynamical system such as sensitivity to initial conditions [31, 58], ergodicity [40] and mixing [16] are good suggestions for diffusion and confusion properties [45]. May classical digital signatures development be done by quantum computing [60]. In many cryptographic works, quantum mechanics were used to ensuring the security of their work [19, 47, 66]. The keyspace in encryption can be improved by Quantum spaces and the quantum dynamical systems. Various applications of chaotic quantum maps, such as Quantum blind signature [49] and image encryption [8, 48] are introduced in cryptography. To overcome the forging and repudiation, Gottesman and Chuang developed the first quantum digital signature (QDS) protocol [32]. This scheme uses qua
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