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Author: Tom St Denis
ISBN : 1597491128
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Format: PDF, EPUB
Download electronic versions of selected books Free BigNum Math: Implementing Cryptographic Multiple Precision Arithmetic [Illustrated] [Paperback] for everyone book 4shared, mediafire, hotfile, and mirror link
Implementing cryptography requires integers of significant magnitude to resist cryptanalytic attacks. Modern programming languages only provide support for integers which are relatively small and single precision. The purpose of this text is to instruct the reader regarding how to implement efficient multiple precision algorithms.
Bignum math is the backbone of modern computer security algorithms. It is the ability to work with hundred-digit numbers efficiently using techniques that are both elegant and occasionally bizarre. This book introduces the reader to the concept of bignum algorithms and proceeds to build an entire library of functionality from the ground up. Through the use of theory, pseudo-code and actual fielded C source code the book explains each and every algorithm that goes into a modern bignum library. Excellent for the student as a learning tool and practitioner as a reference alike BigNum Math is for anyone with a background in computer science who has taken introductory level mathematic courses. The text is for students learning mathematics and cryptography as well as the practioner who needs a reference for any of the algorithms documented within.
* Complete coverage of Karatsuba Multiplication, the Barrett Algorithm, Toom-Cook 3-Way Multiplication, and More
* Tom St Denis is the developer of the industry standard cryptographic suite of tools called LibTom.
* This book provides step-by-step exercises to enforce concepts
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- Paperback: 320 pages
- Publisher: Syngress; 1 edition (September 4, 2006)
- Language: English
- ISBN-10: 1597491128
- ISBN-13: 978-1597491129
- Product Dimensions: 6.9 x 8.6 inches
- Shipping Weight: 1.2 pounds (View shipping rates and policies)
Free BigNum Math: Implementing Cryptographic Multiple Precision Arithmetic
As the author of this book is correct when he says that multiple-precision arithmetic is essential for cryptography, and of course this book would not have been written if this were not the case. The languages of usual choice for cryptography, namely Java and C, support only single precision arithmetic and integer values too small for effective encryption. To obtain larger values that are necessary for cryptography, one must use special data structures, and the author has developed these and put them in the public domain. The trick to using his approach, along with those developed by other researchers is to design the algorithms and data structures so as to optimize memory, as the latter can be very restricted, especially in embedded systems.
The C data structure that the author constructs and uses throughout the book is called `mp_int' and consists of a dynamically allocated array of digits representing the multiple-precision integer. This data structure also elements that denote how many digits of the array contain the digits used to represent the integer at hand. The author gives the pseudocode and the explicit algorithm for initializing and deallocating mp_int. In fact, throughout the book the author writes down the explicit C code for every algorithm he discusses. This reviewer did not attempt to run any of the code and so cannot speak to its efficacy in real applications or devices. The book was therefore read attentively but not with the intent of using any of the algorithms in the book.