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High-security sequence design for differential frequency hopping systems

High-security sequence design for differential frequency hopping systems
High-security sequence design for differential frequency hopping systems
Differential frequency hopping (DFH) technique is widely used in wireless communications by exploiting its capabilities of mitigating tracking interference and confidentiality. However, electronic attacks in wireless systems become more and more rigorous, which imposes a lot of challenges on the DFH sequences designed based on the linear congruence theory, fuzzy and chaotic theory, etc. In this article, we investigate the sequence design in DFH systems by exploiting the equivalence principle between the G-function algorithm and the encryption algorithm, in order to achieve high security. In more details, first, the novel G-function is proposed with the aid of the Government Standard algorithm and the Rivest–Shamir–Adleman algorithm. Then, two sequence design algorithms are proposed, namely, the G-function-assisted sequence generation algorithm, which takes the full advantages of the symmetric and asymmetric encryption algorithms, and the high-order G-function-aided sequence generation algorithm, which is capable of enhancing the correlation of the elements in a DFH sequence. Moreover, the security and ergodicity performance of the proposed algorithms are analyzed. Our studies and results show that the DFH sequences generated by the proposed algorithms significantly outperform the sequences generated by the reversible hash algorithm and affine transformation in terms of the uniformity, randomness, complexity, and the security.
1932-8184
4895 - 4906
Yang, Lie-Liang
ae425648-d9a3-4b7d-8abd-b3cfea375bc7
Chen, Rui
d75b375a-e07b-46d3-ae6f-0daea6abc69e
Shi, Jia
592123d1-83e1-46ea-a158-619bb74a72d8
Li, Zan
5e767eee-3ad3-4c6f-a2c8-022e1d500db4
Guan, Lei
7167362f-c1b9-4399-a95c-e22e8c605911
Yang, Lie-Liang
ae425648-d9a3-4b7d-8abd-b3cfea375bc7
Chen, Rui
d75b375a-e07b-46d3-ae6f-0daea6abc69e
Shi, Jia
592123d1-83e1-46ea-a158-619bb74a72d8
Li, Zan
5e767eee-3ad3-4c6f-a2c8-022e1d500db4
Guan, Lei
7167362f-c1b9-4399-a95c-e22e8c605911

Yang, Lie-Liang, Chen, Rui, Shi, Jia, Li, Zan and Guan, Lei (2020) High-security sequence design for differential frequency hopping systems. IEEE Systems Journal, 15 (4), 4895 - 4906. (doi:10.1109/JSYST.2020.3018115).

Record type: Article

Abstract

Differential frequency hopping (DFH) technique is widely used in wireless communications by exploiting its capabilities of mitigating tracking interference and confidentiality. However, electronic attacks in wireless systems become more and more rigorous, which imposes a lot of challenges on the DFH sequences designed based on the linear congruence theory, fuzzy and chaotic theory, etc. In this article, we investigate the sequence design in DFH systems by exploiting the equivalence principle between the G-function algorithm and the encryption algorithm, in order to achieve high security. In more details, first, the novel G-function is proposed with the aid of the Government Standard algorithm and the Rivest–Shamir–Adleman algorithm. Then, two sequence design algorithms are proposed, namely, the G-function-assisted sequence generation algorithm, which takes the full advantages of the symmetric and asymmetric encryption algorithms, and the high-order G-function-aided sequence generation algorithm, which is capable of enhancing the correlation of the elements in a DFH sequence. Moreover, the security and ergodicity performance of the proposed algorithms are analyzed. Our studies and results show that the DFH sequences generated by the proposed algorithms significantly outperform the sequences generated by the reversible hash algorithm and affine transformation in terms of the uniformity, randomness, complexity, and the security.

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IEEE - Accepted Manuscript
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More information

Accepted/In Press date: 10 August 2020
Published date: 15 September 2020

Identifiers

Local EPrints ID: 454566
URI: http://eprints.soton.ac.uk/id/eprint/454566
ISSN: 1932-8184
PURE UUID: d32594f0-a2e3-4b85-b770-72c2ecb2cf56
ORCID for Lie-Liang Yang: ORCID iD orcid.org/0000-0002-2032-9327

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Date deposited: 16 Feb 2022 17:37
Last modified: 17 Feb 2022 02:34

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Contributors

Author: Lie-Liang Yang ORCID iD
Author: Rui Chen
Author: Jia Shi
Author: Zan Li
Author: Lei Guan

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