By Harald Niederreiter
This textbook equips graduate scholars and complicated undergraduates with the mandatory theoretical instruments for using algebraic geometry to info concept, and it covers fundamental purposes in coding idea and cryptography. Harald Niederreiter and Chaoping Xing give you the first exact 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 formerly no different textbook has featured whole proofs of it. Niederreiter and Xing hide classical functions like algebraic-geometry codes and elliptic-curve cryptosystems in addition to fabric now not 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 conception with a vast collection of real-world functions, this is often the main complete but obtainable creation to the sector available.
- Introduces graduate scholars and complicated undergraduates to the principles of algebraic geometry for purposes to info idea
- Provides the 1st precise dialogue of the interaction among projective curves and algebraic functionality fields over finite fields
- Includes purposes to coding conception and cryptography
- Covers the newest advances in algebraic-geometry codes
- Features purposes to cryptography no longer handled in different books
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