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Public-Key Cryptography
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== <span style="color: #FFFFFF;">Remembering</span> == * '''Public-Key Cryptography''' β A cryptographic system that uses pairs of keys: public keys (which may be disseminated widely) and private keys (which are known only to the owner). * '''Public Key''' β Used to encrypt data or verify a digital signature; available to everyone. * '''Private Key''' β Used to decrypt data or create a digital signature; must be kept secret. * '''RSA (Rivest-Shamir-Adleman)''' β The first and most famous public-key algorithm, based on the difficulty of factoring large numbers. * '''ECC (Elliptic Curve Cryptography)''' β A modern, more efficient public-key system that uses the math of curves to provide the same security with much smaller keys. * '''One-Way Function''' β A mathematical operation that is easy to do in one direction but extremely difficult to undo (e.g., multiplying two huge primes). * '''Trapdoor Function''' β A one-way function that is easy to undo *if* you have a specific piece of "secret" information (the private key). * '''Digital Signature''' β A mathematical scheme for verifying the authenticity of digital messages or documents. * '''Certificate Authority (CA)''' β A trusted organization that "vouches" for your public key (the "Passport Office" of the internet). * '''SSL/TLS (HTTPS)''' β The protocol that uses public-key cryptography to secure website connections. * '''Diffie-Hellman''' β A specific method for two people to create a shared secret key over an insecure channel. * '''Prime Number''' β A number that has no divisors other than 1 and itself; the "Atoms" of public-key math. * '''Modular Arithmetic''' β "Clock math"; the branch of math used to scramble numbers in RSA and ECC. </div> <div style="background-color: #006400; color: #FFFFFF; padding: 20px; border-radius: 8px; margin-bottom: 15px;">
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