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As such, ethical approval from an institutional review board or ethics committee is not applicable. All analyses and constructions are based on mathematical models and lattice-based cryptographic primitives without ethical implications.","order":3,"name":"Ethics","group":{"name":"EthicsHeading","label":"Ethical Approval"}},{"value":"This work exclusively involves theoretical algorithm design and mathematical proofs. No human subjects, personal data, or biological materials were utilized in the study. Therefore, informed consent to participate is not needed.","order":4,"name":"Ethics","group":{"name":"EthicsHeading","label":"Consent to Participate"}},{"value":"The manuscript contains no personally identifiable data, clinical case studies, or individual-level information. All the results are presented as mathematical theorems, cryptographic schemes, and performance comparisons. 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