Muhammad, Dzaky (2026) Algoritma Kriptografi Citra Digital Berbasis Transformasi Wavelet Haar-q: Konstruksi dan Implementasi. Masters thesis, Institut Teknologi Sepuluh Nopember.
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Abstract
Di era digital saat ini, citra digital telah menjadi salah satu media krusial dalam menyampaikan berita hingga informasi yang sensitif. Media ini memiliki peran penting dalam berbagai ranah, seperti komunikasi militer, penginderaan jauh (remote-sensing), hingga pencitraan medis. Namun, pesatnya perkembangan teknologi komunikasi memicu tingginya transmisi data visual tersebut yang sayangnya sering kali rentan terhadap intersepsi dan penggandaan ilegal. Guna mengatasi persoalan tersebut, berbagai pendekatan metode pengamanan seperti algoritma enkripsi terus dikembangkan. Tesis ini menyajikan konstruksi suatu algoritma kriptografi yang berbasis pada transformasi wavelet Haar-q. Fokus utama penelitian ini adalah pengembangan sistem keamanan citra digital menggunakan transformasi wavelet Haar-q. Kebaruan penelitian ini terletak pada perumusan formula penentu nilai q untuk tahap penyandian, serta integrasi transformasi wavelet Haar-q ke dalam seluruh komponen algoritma sehingga parameter q berfungsi sebagai bagian dari kunci enkripsi. Melalui integrasi tersebut, algoritma yang dikembangkan dari metode enkripsi berbasis chaos dengan proses permutasi dan difusi ini menghasilkan variasi prosedur enkripsi yang lebih luas serta memperkuat keamanan sistem dibandingkan pendekatan wavelet Haar klasik. Hasil pengujian menunjukkan bahwa algoritma ini efektif memecah dan menyembunyikan seluruh informasi citra asli. Efektivitas tersebut dibuktikan melalui serangkaian analisis kinerja yang menghasilkan nilai metrik D_seragam < 0.1, derajat korelasi antarpiksel mendekati 0, serta rata-rata nilai entropi sebesar 7.9993. Sistem yang dibangun juga memiliki tingkat keamanan tinggi dengan ruang kunci melebihi 2^100 dan sensitivitas yang tinggi terhadap perubahan kunci. Selanjutnya, algoritma yang dibangun terbukti tahan terhadap serangan diferensial dengan capaian nilai NPCR sebesar 99.6% dan UACI sebesar 33.4%. Di samping itu, algoritma dekripsi yang diusulkan memiliki kemampuan pemulihan citra asal yang sangat baik, terutama ketika citra sandi mengalami distorsi akibat noise maupun kehilangan sebagian data secara permanen.
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In today’s digital era, digital imagery has become a crucial medium for conveying news and sensitive information. This medium plays a vital role in various fields, such as military communications, remote sensing, and medical imaging. However, the rapid advancement of communication technology has led to a high volume of data transmission, which unfortunately remains vulnerable to interception and illegal duplication. To address these issues, various image security approaches, including encryption algorithms, continue to be actively developed. This thesis presents the construction of a cryptographic algorithm based on the q-Haar wavelet transform. The primary focus of this research is the development of a digital image security system utilizing the q-Haar wavelet transform. The novelty of this research lies in the formulation of a mathematical expression to determine the q value for the enciphering stage, as well as the integration of the q-Haar wavelet transform into all algorithm components so that the parameter q functions as an essential part of the encryption key. Through this integration, the algorithm, developed from a chaos-based encryption method employing permutation and diffusion processes, yields a wider variation of encryption procedures and strengthens system security compared to the classical Haar wavelet approach. Experimental results demonstrate that this algorithm effectively scrambles and conceals all information from the original image. This effectiveness is proven through a series of performance analyses, which yield a uniformity metric value of D_uniform < 0.1, a correlation degree between adjacent pixels approaching 0, and an average entropy value of 7.9993. The constructed system also possesses a high level of security, featuring a key space exceeding 2^100 and a high sensitivity to changes in the encryption key. Furthermore, the algorithm is proven to be robust against differential attacks, achieving NPCR and UACI values of 99.6% and 33.4%, respectively. In addition, the proposed decryption algorithm exhibits excellent recovery of the original image, particularly when the cipher image is distorted by noise or permanent partial data loss.
| Item Type: | Thesis (Masters) |
|---|---|
| Uncontrolled Keywords: | enkripsi citra digital, kalkulus-q, kriptografi, peta chaos, wavelet-q, chaotic map, cryptography, digital image encryption, q-calculus, q-wavelet |
| Subjects: | Q Science > Q Science (General) > Q370 Entropy (Information theory) Q Science > QA Mathematics > QA322.2 Normed linear spaces. Banach spaces Q Science > QA Mathematics > QA403.3 Wavelets (Mathematics) Q Science > QA Mathematics > QA76.9.A25 Computer security. Digital forensic. Data encryption (Computer science) Q Science > QA Mathematics > QA9.58 Algorithms |
| Divisions: | Faculty of Science and Data Analytics (SCIENTICS) > Mathematics > 44101-(S2) Master Thesis |
| Depositing User: | Dzaky Muhammad |
| Date Deposited: | 03 Aug 2026 07:17 |
| Last Modified: | 03 Aug 2026 07:17 |
| URI: | http://repository.its.ac.id/id/eprint/142424 |
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