Secret-Key Exchange Through Synchronization of Randomized Chaotic Oscillators Aided by Logistic Hash Function

We have developed a method of secret-key exchange assisted by a secure hash algorithm for a stream cipher based on the augmented Lorenz map as a high-dimensional chaotic map. Two legitimate users are assumed to possess chaotic oscillators subject to the original Lorenz equations to exchange randomiz...

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Vydané v:IEEE transactions on circuits and systems. I, Regular papers Ročník 69; číslo 4; s. 1655 - 1667
Hlavní autori: Onuki, Koshiro, Cho, Kenichiro, Horio, Yoshihiko, Miyano, Takaya
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: New York IEEE 01.04.2022
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Predmet:
Chaos theory
chaos-based stream cipher
Chaotic communication
chaotic synchronization
Ciphers
Cryptography
Dynamic stability
Encryption
Exchanging
Hash based algorithms
hash function
Hash functions
Logistics
Lorenz equations
Numbers
Oscillators
Randomization
secret-key exchange
Synchronism
Synchronization
ISSN:1549-8328, 1558-0806
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Abstract We have developed a method of secret-key exchange assisted by a secure hash algorithm for a stream cipher based on the augmented Lorenz map as a high-dimensional chaotic map. Two legitimate users are assumed to possess chaotic oscillators subject to the original Lorenz equations to exchange randomized chaotic signals. The oscillators achieve perfect synchronization and generate a sequence of binary numbers to be shared as the secret key. The users, as well as an eavesdropper, cannot estimate the synchronization error because of the randomization of chaotic signals. Nevertheless, only the legitimate users have high confidence in sharing the secret key because of the dynamical stability of the synchronization process. The users can confirm the sharing of the secret key by exchanging the hash values of the keys that are generated by a secure hash algorithm based on the logistic map. We discuss the performance of our method with reference to the results of numerical experiments.
AbstractList We have developed a method of secret-key exchange assisted by a secure hash algorithm for a stream cipher based on the augmented Lorenz map as a high-dimensional chaotic map. Two legitimate users are assumed to possess chaotic oscillators subject to the original Lorenz equations to exchange randomized chaotic signals. The oscillators achieve perfect synchronization and generate a sequence of binary numbers to be shared as the secret key. The users, as well as an eavesdropper, cannot estimate the synchronization error because of the randomization of chaotic signals. Nevertheless, only the legitimate users have high confidence in sharing the secret key because of the dynamical stability of the synchronization process. The users can confirm the sharing of the secret key by exchanging the hash values of the keys that are generated by a secure hash algorithm based on the logistic map. We discuss the performance of our method with reference to the results of numerical experiments.
Author Miyano, Takaya
Onuki, Koshiro
Cho, Kenichiro
Horio, Yoshihiko
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  organization: Department of Mechanical Engineering, Ritsumeikan University, Kusatsu, Japan
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SubjectTerms Chaos theory
chaos-based stream cipher
Chaotic communication
chaotic synchronization
Ciphers
Cryptography
Dynamic stability
Encryption
Exchanging
Hash based algorithms
hash function
Hash functions
Logistics
Lorenz equations
Numbers
Oscillators
Randomization
secret-key exchange
Synchronism
Synchronization
Title Secret-Key Exchange Through Synchronization of Randomized Chaotic Oscillators Aided by Logistic Hash Function
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