`ANSA-IBKEM`: Practical Quantum-Safe Identity-Based Key Encapsulation via Annular NTRU Trapdoors and Standardized PQC Arithmetic Reuse

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Identity-based key encapsulation remains attractive for managed systems, but practical post-quantum instantiations must balance compact ciphertexts, low decryption-failure rate (DFR), high-throughput and protection-friendly private-key extraction, and meaningful concrete security reductions. Existing NTRU-based IBE schemes satisfy these requirements only partially: compact DLP-style constructions lack a satisfactory reduction and have high failure rates, while LATTE's higher-rank structure and c