Algorithmic analysis of symmetric-key cryptographic primitives

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Cryptography is the field that uses mathematical techniques to secure information. The rapid rise of computer and communications technology, especially the widespread use of the Internet, has greatly increased the demand for such techniques. For example, trillions of dollars of currency exchanges are carried out each day, and these must be encoded in such a way that malicious parties cannot view or tamper with them (even if they are sent over publicly accessible networks). Symmetric-key cryptographic primitives such as block ciphers, hash functions, and stream ciphers are fundamental components of the infrastructure that enables such transactions to be carried out securely and efficiently.