cryptographic arithmetic

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• Cryptographic engineering — is the discipline of using cryptography to solve human problems. Cryptography is typically applied when trying to ensure data confidentiality, to authenticate people or devices, or to verify data integrity in risky environments. Cryptographic… …   Wikipedia

• Trace Zero Cryptography — In the year 1998 Gerhard Frey firstly purposed using trace zero varieties for cryptographic purpose. These varieties are subgroups of the divisor class group on a low genus hyperelliptic curve defined over a finite field. These groups can be used …   Wikipedia

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• T-function — In cryptography, a T function is a bijective mapping that updates every bit of the state in a way that can be described as x i = x i + f(x 0, cdots, x {i 1}), or in simple words an update function in which each bit of the state is updated by a… …   Wikipedia

• Montgomery reduction — In arithmetic computation, Montgomery reduction is an algorithm introduced in 1985 by Peter Montgomery that allows modular arithmetic to be performed efficiently when the modulus is large (typically several hundred bits). A single application of… …   Wikipedia

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• Block cipher — In cryptography, a block cipher is a symmetric key cipher operating on fixed length groups of bits, called blocks, with an unvarying transformation. A block cipher encryption algorithm might take (for example) a 128 bit block of plaintext as… …   Wikipedia

• Secure multi-party computation — (also known as secure computation or multi party computation (MPC)) is a sub field of cryptography. The goal of methods for secure multi party computation is to enable parties to jointly compute a function over their inputs, while at the same… …   Wikipedia