Abstract

This work introduces the Borromean-Entangled Chameleon Trapdoor Hash All-or-Nothing ( `AoNT` ) Stream Cipher ( `BEC-Trap` ), a novel construction that merges Borromean interdependence, trapdoor-enabled mutability, and streaming encryption into a unified framework. The ( `BEC-Trap` ) cipher links key ( _**K**_ ), initialization vector ( _**V**_ ), and internal state ( _**St**_ ) in a Borromean structure, ensuring that breaking, guessing, or removing any one component collapses the entire keystream, providing a computational ( `AoNT` ) interdependence under standard cryptographic assumptions. A chameleon trapdoor hash is integrated to permit controlled collisions, enabling seamless rekeying, ( _**V**_ ) refresh, and state rotation without resynchronizing endpoints. This design provides confidentiality, forward secrecy, and adaptive key management with low computational overhead, making it suitable for high-throughput secure messaging, IoT communications, and privacy-preserving blockchain channels. Security analysis of the ( `BEC-Trap` ) shows that the construction is resistant to key-recovery attacks, state compromise, and desynchronization attempts, delivering a robust cryptographic primitive for next-generation secure communications.