Download E-books Algebraic Geometry in Coding Theory and Cryptography PDF

By Harald Niederreiter

This textbook equips graduate scholars and complex undergraduates with the mandatory theoretical instruments for utilising algebraic geometry to details thought, and it covers basic purposes in coding conception and cryptography. Harald Niederreiter and Chaoping Xing give you the first unique dialogue of the interaction among nonsingular projective curves and algebraic functionality fields over finite fields. This interaction is key to investigate within the box this day, but formerly no different textbook has featured entire proofs of it. Niederreiter and Xing conceal classical purposes like algebraic-geometry codes and elliptic-curve cryptosystems in addition to fabric no longer handled by way of different books, together with function-field codes, electronic nets, code-based public-key cryptosystems, and frameproof codes. Combining a scientific improvement of thought with a extensive collection of real-world purposes, this is often the main finished but available advent to the sector available.

  • Introduces graduate scholars and complex undergraduates to the rules of algebraic geometry for purposes to info conception
  • Provides the 1st exact dialogue of the interaction among projective curves and algebraic functionality fields over finite fields
  • Includes functions to coding idea and cryptography
  • Covers the newest advances in algebraic-geometry codes
  • Features functions to cryptography no longer handled in different books

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