BigNum math :: implementing cryptographic multiple precision arithmetic /
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 efficien...
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| Other Authors: | |
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Rockland, MA :
Syngress Pub.,
©2006.
|
| Subjects: | |
| Online Access: | DE-862 DE-863 DE-862 DE-863 |
| Summary: | 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 practitioner 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. |
| Physical Description: | 1 online resource |
| Bibliography: | Includes bibliographical references and index. |
| ISBN: | 1423789741 9781423789741 9781597491129 1597491128 1597491241 9781597491242 0080488382 9780080488387 1281035734 9781281035738 9786611035730 6611035737 |
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| 520 | |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 practitioner 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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| author | St. Denis, Tom |
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| contents | 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. |
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| dewey-raw | 519.7 |
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| discipline | Mathematik |
| format | Electronic eBook |
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"><subfield code="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 practitioner 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.</subfield></datafield><datafield tag="546" ind1=" " ind2=" "><subfield code="a">English.</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Programming (Mathematics)</subfield><subfield code="0">http://id.loc.gov/authorities/subjects/sh85107312</subfield></datafield><datafield tag="650" ind1=" " ind2="6"><subfield code="a">Programmation (Mathématiques)</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">MATHEMATICS</subfield><subfield code="x">Linear & Nonlinear Programming.</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Programming (Mathematics)</subfield><subfield code="2">fast</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Rose, Greg.</subfield><subfield code="1">https://id.oclc.org/worldcat/entity/E39PCjKTMHTfPtyyjbMD8xdCwC</subfield><subfield code="0">http://id.loc.gov/authorities/names/no2007006999</subfield></datafield><datafield tag="758" ind1=" " ind2=" "><subfield code="i">has work:</subfield><subfield code="a">BigNum math (Text)</subfield><subfield code="1">https://id.oclc.org/worldcat/entity/E39PCGxJjv9XwjMBkvJJMFxTwP</subfield><subfield code="4">https://id.oclc.org/worldcat/ontology/hasWork</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Print version:</subfield><subfield code="a">St. Denis, Tom.</subfield><subfield code="t">BigNum math.</subfield><subfield code="d">Rockland, MA : Syngress Pub., ©2006</subfield><subfield code="z">1597491128</subfield><subfield code="z">9781597491129</subfield><subfield code="w">(OCoLC)71315262</subfield></datafield><datafield tag="966" ind1="4" ind2="0"><subfield code="l">DE-862</subfield><subfield code="p">ZDB-4-EBA</subfield><subfield code="q">FWS_PDA_EBA</subfield><subfield code="u">https://www.sciencedirect.com/science/book/9781597491129</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="4" ind2="0"><subfield code="l">DE-863</subfield><subfield code="p">ZDB-4-EBA</subfield><subfield code="q">FWS_PDA_EBA</subfield><subfield code="u">https://www.sciencedirect.com/science/book/9781597491129</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="4" ind2="0"><subfield code="l">DE-862</subfield><subfield code="p">ZDB-4-EBA</subfield><subfield code="q">FWS_PDA_EBA</subfield><subfield code="u">https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=163062</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="4" ind2="0"><subfield code="l">DE-863</subfield><subfield code="p">ZDB-4-EBA</subfield><subfield code="q">FWS_PDA_EBA</subfield><subfield code="u">https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=163062</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">Books 24x7</subfield><subfield code="b">B247</subfield><subfield code="n">bks00014605</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">ebrary</subfield><subfield code="b">EBRY</subfield><subfield code="n">ebr10142532</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">EBSCOhost</subfield><subfield code="b">EBSC</subfield><subfield code="n">163062</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">ProQuest MyiLibrary Digital eBook Collection</subfield><subfield code="b">IDEB</subfield><subfield code="n">103573</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">YBP Library Services</subfield><subfield code="b">YANK</subfield><subfield code="n">2730606</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">YBP Library Services</subfield><subfield code="b">YANK</subfield><subfield code="n">2456721</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">YBP Library Services</subfield><subfield code="b">YANK</subfield><subfield code="n">2627194</subfield></datafield><datafield tag="994" ind1=" " ind2=" "><subfield code="a">92</subfield><subfield code="b">GEBAY</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-4-EBA</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-862</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-863</subfield></datafield></record></collection> |
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| illustrated | Not Illustrated |
| indexdate | 2025-04-11T08:35:46Z |
| institution | BVB |
| isbn | 1423789741 9781423789741 9781597491129 1597491128 1597491241 9781597491242 0080488382 9780080488387 1281035734 9781281035738 9786611035730 6611035737 |
| language | English |
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| spelling | St. Denis, Tom. https://id.oclc.org/worldcat/entity/E39PCjrxxGYPxxDdWDH4MkbJH3 http://id.loc.gov/authorities/names/no2007006998 BigNum math : implementing cryptographic multiple precision arithmetic / Tom St. Denis, Greg Rose. Rockland, MA : Syngress Pub., ©2006. 1 online resource text txt rdacontent computer c rdamedia online resource cr rdacarrier data file 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 practitioner 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. English. Programming (Mathematics) http://id.loc.gov/authorities/subjects/sh85107312 Programmation (Mathématiques) MATHEMATICS Linear & Nonlinear Programming. bisacsh Programming (Mathematics) fast Rose, Greg. https://id.oclc.org/worldcat/entity/E39PCjKTMHTfPtyyjbMD8xdCwC http://id.loc.gov/authorities/names/no2007006999 has work: BigNum math (Text) https://id.oclc.org/worldcat/entity/E39PCGxJjv9XwjMBkvJJMFxTwP https://id.oclc.org/worldcat/ontology/hasWork Print version: St. Denis, Tom. BigNum math. Rockland, MA : Syngress Pub., ©2006 1597491128 9781597491129 (OCoLC)71315262 |
| spellingShingle | St. Denis, Tom BigNum math : implementing cryptographic multiple precision arithmetic / 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. Programming (Mathematics) http://id.loc.gov/authorities/subjects/sh85107312 Programmation (Mathématiques) MATHEMATICS Linear & Nonlinear Programming. bisacsh Programming (Mathematics) fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85107312 |
| 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) http://id.loc.gov/authorities/subjects/sh85107312 Programmation (Mathématiques) MATHEMATICS Linear & Nonlinear Programming. bisacsh Programming (Mathematics) fast |
| topic_facet | Programming (Mathematics) Programmation (Mathématiques) MATHEMATICS Linear & Nonlinear Programming. |
| work_keys_str_mv | AT stdenistom bignummathimplementingcryptographicmultipleprecisionarithmetic AT rosegreg bignummathimplementingcryptographicmultipleprecisionarithmetic |