Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In cryptography, a T-function is a bijective mapping that updates every bit of the state in a way that can be described as, or in simple words an update function in which each bit of the state is updated by a linear combination of the same bit and a function of a subset of its less significant bits. If every single less significant bit is included in the update of every bit in the state, such a T-function is called triangular. Thanks to their bijectivity regardless of the used Boolean functions and regardless of the selection of inputs, T-functions are now widely used in cryptography to construct block ciphers, stream ciphers, PRNGs and hash functions.

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