BigNum math: implementing cryptographic multiple precision arithmetic
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Rockland, MA
Syngress Pub.
©2006
|
| Schlagworte: | |
| Online-Zugang: | FAW01 FAW02 Volltext |
| Beschreibung: | Includes bibliographical references 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 |
| Beschreibung: | 1 Online-Ressource |
| ISBN: | 0080488382 1423789741 1597491128 1597491241 9780080488387 9781423789741 9781597491129 9781597491242 |
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| 500 | |a Includes bibliographical references and index | ||
| 500 | |a 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 | ||
| 500 | |a 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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Datensatz im Suchindex
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| author | St. Denis, Tom |
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| dewey-full | 519.7 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.7 |
| dewey-search | 519.7 |
| dewey-sort | 3519.7 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV043126198 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:18:14Z |
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| isbn | 0080488382 1423789741 1597491128 1597491241 9780080488387 9781423789741 9781597491129 9781597491242 |
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| spelling | St. Denis, Tom Verfasser aut BigNum math implementing cryptographic multiple precision arithmetic Tom St. Denis, Greg Rose Rockland, MA Syngress Pub. ©2006 1 Online-Ressource txt rdacontent c rdamedia cr rdacarrier Includes bibliographical references 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 Programming (Mathematics) Computer security MATHEMATICS / Linear & Nonlinear Programming bisacsh Programming (Mathematics) fast Rose, Greg Sonstige oth http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=163062 Aggregator Volltext |
| spellingShingle | St. Denis, Tom BigNum math implementing cryptographic multiple precision arithmetic Programming (Mathematics) Computer security MATHEMATICS / Linear & Nonlinear Programming bisacsh Programming (Mathematics) fast |
| title | BigNum math implementing cryptographic multiple precision arithmetic |
| title_auth | BigNum math implementing cryptographic multiple precision arithmetic |
| title_exact_search | BigNum math implementing cryptographic multiple precision arithmetic |
| title_full | BigNum math implementing cryptographic multiple precision arithmetic Tom St. Denis, Greg Rose |
| title_fullStr | BigNum math implementing cryptographic multiple precision arithmetic Tom St. Denis, Greg Rose |
| title_full_unstemmed | BigNum math implementing cryptographic multiple precision arithmetic Tom St. Denis, Greg Rose |
| title_short | BigNum math |
| title_sort | bignum math implementing cryptographic multiple precision arithmetic |
| title_sub | implementing cryptographic multiple precision arithmetic |
| topic | Programming (Mathematics) Computer security MATHEMATICS / Linear & Nonlinear Programming bisacsh Programming (Mathematics) fast |
| topic_facet | Programming (Mathematics) Computer security MATHEMATICS / Linear & Nonlinear Programming |
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