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A Dual Approach Cryptographic Model for Video Transmission Based on Association Schemes

Rajendra Kumar Sharma, Anuradha Sabharwal () and Pooja Yadav
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Rajendra Kumar Sharma: Department of Mathematics, Indian Institute of Technology Delhi, New Delhi 110016, India
Anuradha Sabharwal: Department of Mathematics, University of Delhi, Delhi 110007, India
Pooja Yadav: Department of Mathematics, Kamala Nehru College, University of Delhi, New Delhi 110049, India

Mathematics, 2025, vol. 13, issue 17, 1-14

Abstract: The security of video data requires cryptographic techniques that are resilient to both classical and quantum threats. This study presents an encryption framework based on association schemes and algebraic combinatorial tools that enable systematic and secure data transformations. In the classical setting, video encryption is achieved through random matrix transformations applied to the relations of an association scheme, producing secure and imperceptible ciphertext. Experimental evaluations, including statistical and error analyses, confirm the robustness and efficiency of the proposed method. We extend the framework to quantum cryptography by exploring unitary encryption operators derived from the Bose–Mesner algebra of association schemes. These operators are used to encrypt quantum-encoded multimedia data. The results demonstrate the potential of association schemes to support secure multimedia encryption in both classical and quantum domains.

Keywords: cryptography; video encryption; quantum cipher; association scheme (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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