Incompleteness and Undecidability
Cryptography is the practice and study of techniques for securing communication and information from adversaries by transforming data into a format that is unreadable to unauthorized users. It involves methods for both encrypting and decrypting messages, ensuring confidentiality, integrity, authentication, and non-repudiation in digital communications. In recent years, cryptography has gained importance in the context of new technologies, particularly with the rise of quantum computing, which poses unique challenges to traditional cryptographic methods.
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