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Publishing Language: Chinese | Open Access

Trinion Hartley transform and its application in image encryption

Zixin Sun, Jinming Ma( ), Yuwei Li, Shouqi Zhang
Information Engineering College, Capital Normal University, Beijing 100048
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Abstract

This paper proposes the trinion Hartley Transform (THT) and presents its commonly used properties, such as linearity, cyclic shift property, convolution theorem, and so on. In addition, the relationship between THT and Fourier Transform is derived, and a fast computation for THT based on FFT is proposed. Finally, based on the proposed THT and its fast computation, encryption and decryption methods suitable for color images are proposed, and the effectiveness of the proposed methods are verified by simulation results.

Keywords

trinionHartley transformfast computationimage encryption
CLC number: TP309.7 Document code: A

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Journal of Capital Normal University (Natural Science Edition)
Volume 47 Issue 4,
August 2026
Pages 95-103
DOI: 10.19789/j.1004-9398.2026.04.010

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Cite this article:
Sun Z, Ma J, Li Y, et al. Trinion Hartley transform and its application in image encryption. Journal of Capital Normal University (Natural Science Edition), 2026, 47(4): 95-103. https://doi.org/10.19789/j.1004-9398.2026.04.010

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Received: 19 August 2025
Published: 20 August 2026
© The editorial department of Journal of Capital Normal University (Natural Science Edition) 2026.

This is an open access article under the CC BY-NC-ND 4.0 license (https://creativecommons.org/licenses/by-nc-nd/4.0/).