Coverart for item
The Resource Cryptology and Error Correction : An Algebraic Introduction and Real-World Applications, by Lindsay N. Childs, (electronic resource)

Cryptology and Error Correction : An Algebraic Introduction and Real-World Applications, by Lindsay N. Childs, (electronic resource)

Label
Cryptology and Error Correction : An Algebraic Introduction and Real-World Applications
Title
Cryptology and Error Correction
Title remainder
An Algebraic Introduction and Real-World Applications
Statement of responsibility
by Lindsay N. Childs
Creator
Subject
Language
eng
Summary
This text presents a careful introduction to methods of cryptology and error correction in wide use throughout the world and the concepts of abstract algebra and number theory that are essential for understanding these methods. The objective is to provide a thorough understanding of RSA, Diffie–Hellman, and Blum–Goldwasser cryptosystems and Hamming and Reed–Solomon error correction: how they are constructed, how they are made to work efficiently, and also how they can be attacked. To reach that level of understanding requires and motivates many ideas found in a first course in abstract algebra—rings, fields, finite abelian groups, basic theory of numbers, computational number theory, homomorphisms, ideals, and cosets. Those who complete this book will have gained a solid mathematical foundation for more specialized applied courses on cryptology or error correction, and should also be well prepared, both in concepts and in motivation, to pursue more advanced study in algebra and number theory. This text is suitable for classroom or online use or for independent study. Aimed at students in mathematics, computer science, and engineering, the prerequisite includes one or two years of a standard calculus sequence. Ideally the reader will also take a concurrent course in linear algebra or elementary matrix theory. A solutions manual for the 400 exercises in the book is available to instructors who adopt the text for their course.--
Member of
Assigning source
Provided by publisher
http://library.link/vocab/creatorName
Childs, Lindsay N
Image bit depth
0
Literary form
non fiction
Nature of contents
dictionaries
Series statement
  • Springer Undergraduate Texts in Mathematics and Technology,
  • Springer eBooks
  • Springer eBooks.
http://library.link/vocab/subjectName
  • Algebra
  • Data encryption (Computer science)
  • Number theory
Label
Cryptology and Error Correction : An Algebraic Introduction and Real-World Applications, by Lindsay N. Childs, (electronic resource)
Link
https://link-springer-com.ezproxy.eui.eu/book/10.1007/978-3-030-15453-0
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
Preface -- 1. Secure, Reliable Information -- 2. Modular Arithmetic -- 3. Linear Equations Modulo m -- 4. Unique Factorization in Z -- 5. Rings and Fields -- 6. Polynomials -- 7. Matrices and Hamming Codes -- 8. Orders and Euler's theorem -- 9. RSA Cryptography and Prime Numbers -- 10. Groups, Cosets, and Lagrange's theorem -- 11. Solving Systems of Congruences -- 12. Homomorphisms and Euler's Phi function -- 13. Cyclic Groups and Cryptography -- 14. Applications of Cosets -- 15. An Introduction to Reed–Solomon codes -- 16. Blum–Goldwasser Cryptography -- 17. Factoring by the Quadratic Sieve -- 18. Polynomials and Finite Fields -- 19. Reed-Solomon Codes II -- Bibliography.
Control code
978-3-030-15453-0
Dimensions
unknown
Extent
1 online resource (XIV, 351 pages)
File format
multiple file formats
Form of item
  • online
  • electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783030154530
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other physical details
7 illustrations, 1 illustration in color.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1099656760
Label
Cryptology and Error Correction : An Algebraic Introduction and Real-World Applications, by Lindsay N. Childs, (electronic resource)
Link
https://link-springer-com.ezproxy.eui.eu/book/10.1007/978-3-030-15453-0
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
Preface -- 1. Secure, Reliable Information -- 2. Modular Arithmetic -- 3. Linear Equations Modulo m -- 4. Unique Factorization in Z -- 5. Rings and Fields -- 6. Polynomials -- 7. Matrices and Hamming Codes -- 8. Orders and Euler's theorem -- 9. RSA Cryptography and Prime Numbers -- 10. Groups, Cosets, and Lagrange's theorem -- 11. Solving Systems of Congruences -- 12. Homomorphisms and Euler's Phi function -- 13. Cyclic Groups and Cryptography -- 14. Applications of Cosets -- 15. An Introduction to Reed–Solomon codes -- 16. Blum–Goldwasser Cryptography -- 17. Factoring by the Quadratic Sieve -- 18. Polynomials and Finite Fields -- 19. Reed-Solomon Codes II -- Bibliography.
Control code
978-3-030-15453-0
Dimensions
unknown
Extent
1 online resource (XIV, 351 pages)
File format
multiple file formats
Form of item
  • online
  • electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783030154530
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other physical details
7 illustrations, 1 illustration in color.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1099656760

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