rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Cryptography Arithmetic
    sub title: Algorithms and Hardware Architectures
  name:
    name part: Omondi, Amos R.
    role:
      role term: creator
    role:
      role term: author.
    role:
      role term: aut
    role:
      role term: http://id.loc.gov/vocabulary/relators/aut
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  genre: Electronic books.
  origin info:
    place:
      place term: gw
    date issued: 2020
    edition: 1st ed. 2020.
    issuance: monographic
  language:
    language term: eng
  physical description:
    reformatting quality: access
    form: remote
    extent: 1 online resource (XIV, 336 pages 73 illustrations)
  abstract: Modern cryptosystems, used in numerous applications that require secrecy or privacy - electronic mail, financial transactions, medical-record keeping, government affairs, social media et cetera - are based on sophisticated mathematics and algorithms that in implementation involve much computer arithmetic. And for speed it is necessary that the arithmetic be realized at the hardware (chip) level. This book is an introduction to the implementation of cryptosystems at that level. The aforementioned arithmetic is mostly the arithmetic of finite fields, and the book is essentially one on the arithmetic of prime fields and binary fields in the context of cryptography. The book has three main parts. The first part is on generic algorithms and hardware architectures for the basic arithmetic operations: addition, subtraction, multiplication, and division. The second part is on the arithmetic of prime fields. And the third part is on the arithmetic of binary fields. The mathematical fundamentals necessary for the latter two parts are included, as are descriptions of various types of cryptosystems, to provide appropriate context. This book is intended for advanced-level students in Computer Science, Computer Engineering, and Electrical and Electronic Engineering. Practitioners too will find it useful, as will those with a general interest in "hard" applications of mathematics.
  table of contents: 1 Basic Computer Arithmetic -- 2 Mathematical Fundamentals I: Number Theory -- 3 Modular-Arithmetic Cryptosystems -- 4 Modular Reduction -- 5 Modular Addition and Multiplication -- 6 Modular Exponentiation, Inversion, and Division -- 7 Mathematical Fundamentals II: Abstract Algebra -- 8 Elliptic-Curve Basics -- 9 Elliptic-Curve Cryptosystems -- 10 Polynomial-basis arithmetic -- 11 Normal-basis arithmetic -- A Mathematical Proofs -- Index.
  note: by Amos R. Omondi.
  subject:
    topic: Data structures (Computer science)
  subject:
    topic: Data encryption (Computer science)
  subject:
    topic: Microprocessors
  subject:
    topic: Electronic circuits
  subject:
    topic: Data Structures and Information Theory
  subject:
    topic: Cryptology
  subject:
    topic: Processor Architectures
  subject:
    topic: Circuits and Systems
  classification: QA76.9.D35
  classification: Q350-390
  classification: 005.73
  related item:
    title info:
      title: Springer Nature eBook
  related item:
    title info:
      title: Advances in Information Security, 77
  identifier: 9783030341428
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record creation date: 200130
    record change date: 20230330185326.3
    record identifier: in00004386675