TY - JOUR
T1 - An efficient confidentiality scheme based on quadratic chaotic map and Fibonacci sequence
AU - Khan, Majid
AU - Waseem, Hafiz Muhammad
N1 - Publisher Copyright:
© 2024, American Institute of Mathematical Sciences. All rights reserved.
PY - 2024
Y1 - 2024
N2 - In today's rapidly evolving digital landscape, secure data transmission and exchange are crucial for protecting sensitive information across personal, financial, and global infrastructures. Traditional cryptographic algorithms like RSA and AES face increasing challenges due to the rise of quantum computing and enhanced computational power, necessitating innovative approaches for data security. We explored a novel encryption scheme leveraging the quadratic chaotic map (QCM) integrated with the Fibonacci sequence, addressing key sensitivity, periodicity, and computational efficiency. By employing chaotic systems' inherent unpredictability and sensitivity to initial conditions, the proposed method generates highly secure and unpredictable ciphers suitable for text and image encryption. We incorporated a combined sequence from the Fibonacci sequence and QCM, providing enhanced complexity and security. Comprehensive experimental analyses, including noise and occlusion attack simulations, demonstrate the scheme's robustness, resilience, and practicality. The results indicated that the proposed encryption framework offers a secure, efficient, and adaptable solution for digital data protection against modern computational threats.
AB - In today's rapidly evolving digital landscape, secure data transmission and exchange are crucial for protecting sensitive information across personal, financial, and global infrastructures. Traditional cryptographic algorithms like RSA and AES face increasing challenges due to the rise of quantum computing and enhanced computational power, necessitating innovative approaches for data security. We explored a novel encryption scheme leveraging the quadratic chaotic map (QCM) integrated with the Fibonacci sequence, addressing key sensitivity, periodicity, and computational efficiency. By employing chaotic systems' inherent unpredictability and sensitivity to initial conditions, the proposed method generates highly secure and unpredictable ciphers suitable for text and image encryption. We incorporated a combined sequence from the Fibonacci sequence and QCM, providing enhanced complexity and security. Comprehensive experimental analyses, including noise and occlusion attack simulations, demonstrate the scheme's robustness, resilience, and practicality. The results indicated that the proposed encryption framework offers a secure, efficient, and adaptable solution for digital data protection against modern computational threats.
KW - Fibonacci sequence
KW - chaotic map
KW - image encryption
KW - information security
UR - http://www.scopus.com/inward/record.url?scp=85205255052&partnerID=8YFLogxK
U2 - 10.3934/math.20241323
DO - 10.3934/math.20241323
M3 - Article
AN - SCOPUS:85205255052
SN - 2473-6988
VL - 9
SP - 27220
EP - 27246
JO - AIMS Mathematics
JF - AIMS Mathematics
IS - 10
ER -