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BigNum Libraries

Tool name: GNU Multiple Precision Arithmetic Library (GMP)
Rating: 0.0 (0 votes)
Author: Free Software Foundation                        
Current version: 4.2.2
Last updated: September 11, 2007
Direct D/L link:
License type: Free / Open Source
Description: GMP is a free library for arbitrary precision arithmetic, operating on signed integers, rational numbers, and floating point numbers. There is no practical limit to the precision except the ones implied by the available memory in the machine GMP runs on. GMP has a rich set of functions, and the functions have a regular interface.

The main target applications for GMP are cryptography applications and research, Internet security applications, algebra systems, computational algebra research, etc.

GMP is carefully designed to be as fast as possible, both for small operands and for huge operands. The speed is achieved by using fullwords as the basic arithmetic type, by using fast algorithms, with highly optimized assembly code for the most common inner loops for a lot of CPUs, and by a general emphasis on speed.

GMP is faster than any other bignum library. The advantage for GMP increases with the operand sizes for many operations, since GMP uses asymptotically faster algorithms.

The first GMP release was made in 1991. It is continually developed and maintained, with a new release about once a year.
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Tool name: MIRACL
Rating: 0.0 (0 votes)
Author: ShamusSoftware                        
Current version: 5.4
Last updated: July 18, 2009
Direct D/L link:
License type: Free
Description: MIRACL is a Big Number Library which implements all of the primitives necessary to design Big Number Cryptography into your real-world application. It is primarily a tool for cryptographic system implementors. RSA public key cryptography, Diffie-Hellman Key exchange, DSA digital signature, they are all just a few procedure calls away. Support is also included for even more esoteric Elliptic Curves and Lucas function based schemes. The latest version offers full support for Elliptic Curve Cryptography over GF(p) and GF(2m) - see the links on this page for more details. Less well-known techniques can also be implemented as MIRACL allows you to work directly and efficiently with the big numbers that are the building blocks of number-theoretic cryptography. Although implemented as a C library, a well-thought out C++ wrapper is provided, which greatly simplifies program development. Most example programs (25+ of them) are provided in both C and C++ versions.

MIRACL now provides more support for conventional cryptography. The latest version implements the Advanced Encryption Standard (AES), Modes of Operation, and the new hashing standards SHA-160/256/384/512.

MIRACL is compact, fast and efficient and its now easier than ever to get the same near-optimal performance from any processor. Although essentially a portable library, inline assembly and special techniques can be invoked for blistering speed. MIRACL has also been successfully used in both embedded and DSP environments where space is at a premium. A new special purpose macro assembler feature facilitates the achievement of best possible performance from your embedded processor (see embedded.doc). MIRACL is, to an extent, self-configuring. Use your compiler to compile and run a simple configuration program, which proceeds with user interaction to generate optimal settings for your environment.
Also listed in: Crypto Libraries
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