03608cam a2200397Ii 4500991003251509707536m d cr cn|||||||||070806s2006 maua sb 001 0 eng d97815974911291597491128b13655693-39ule_inst136079:136212Elsevier Science & Technologyhttp://www.sciencedirect.comOPELSOPELSOPELSTEFA519.722St. Denis, Tom.627563BigNum math[electronic resource] :implementing cryptographic multiple precision arithmetic /Tom St. Denis, Greg Rose.Rockland, MA :Syngress Pub.,c2006.xviii, 296 p. ;23 cm.Includes bibliographical references (p. 289-290) and index.Introduction; Multiple Precision Arithmetic; Exercises; Portability and Stability; Getting Started; Maintenance Algorithms; Basic Operations; Sign Manipulation; Basic Arithmetic; Multiplication and Squaring; The Multipliers; Multiplication; Modular Reduction; Basics of Modular Reduction; Exponentiation; Exponentiation Basics; Higher Level Algorithms; Number Theoretic Algorithms.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.Electronic reproduction.Amsterdam :Elsevier Science & Technology,2007.Mode of access: World Wide Web.System requirements: Web browser.Title from title screen (viewed on Aug. 2, 2007).Access may be restricted to users at subscribing institutions.Programming (Mathematics)Computer security.Electronic books.localRose, Greg.authorhttp://id.loc.gov/vocabulary/relators/aut739049Original15974911289781597491129(OCoLC)71315262Referexhttp://www.sciencedirect.com/science/book/9781597491129An electronic book accessible through the World Wide Web; click for information.b1365569324-02-2224-01-08991003251509707536C0TEFBigNum math1463995UNISALENTOle02924-01-08mm -engmau00