By Harald Niederreiter

This textbook equips graduate scholars and complex undergraduates with the required theoretical instruments for utilizing algebraic geometry to info thought, and it covers fundamental purposes in coding conception and cryptography. Harald Niederreiter and Chaoping Xing give you the first distinctive dialogue of the interaction among nonsingular projective curves and algebraic functionality fields over finite fields. This interaction is key to investigate within the box at the present time, but before no different textbook has featured whole proofs of it. Niederreiter and Xing disguise classical functions like algebraic-geometry codes and elliptic-curve cryptosystems in addition to fabric no longer handled through different books, together with function-field codes, electronic nets, code-based public-key cryptosystems, and frameproof codes. Combining a scientific improvement of conception with a wide choice of real-world functions, this is often the main entire but obtainable advent to the sphere available.

  • Introduces graduate scholars and complex undergraduates to the principles of algebraic geometry for functions to info conception
  • Provides the 1st certain 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 purposes to cryptography no longer handled in different books

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