Definition ∞ Binary Goppa codes are a class of error-correcting codes used in cryptography, particularly within post-quantum schemes. These codes allow for the detection and correction of errors introduced during data transmission or storage. Their security relies on the mathematical difficulty of decoding a general linear code. They form a foundational component for constructing public-key cryptosystems resilient against quantum computer attacks.
Context ∞ Binary Goppa codes are a central element in the ongoing research and development of post-quantum cryptography, specifically for the McEliece cryptosystem. A critical discussion involves balancing their security strength against practical considerations such as key size and computational efficiency. Future developments include optimizing their parameters and exploring hybrid cryptographic solutions to facilitate a secure transition to a post-quantum cryptographic standard.
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