Algebraic background

Christophe Doche, David Lubicz

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review


In the first part we state definitions and simple properties of the algebraic structures we shall use constantly in the remainder of the book. More details can be found in [LAN 2002a]. The next section deals with number theory. We shall give at this occasion an introduction to extension of fields, including the algebraic closure, Galois theory, and number fields. We refer mainly to [LAN 2002a] and [FRTA 1991] for this part.

Original languageEnglish
Title of host publicationHandbook of elliptic and hyperelliptic curve cryptography
Place of PublicationBoco Raton, Florida, USA
PublisherCRC Press, Taylor & Francis Group
Number of pages19
ISBN (Electronic)9781420034981
ISBN (Print)9781584885184
Publication statusPublished - 2006

Publication series

NameDiscrete mathematics and its applications
PublisherChapman & Hall/CRC


  • algebraic structures
  • number theory
  • Galois theory
  • finite fields


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