@inbook{c709c86d88684811ba592fbc70961913,

title = "Algebraic background",

abstract = "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.",

keywords = "algebraic structures, number theory, Galois theory, finite fields",

author = "Christophe Doche and David Lubicz",

year = "2006",

language = "English",

isbn = "9781584885184",

series = "Discrete mathematics and its applications",

publisher = "CRC Press, Taylor & Francis Group",

pages = "19--37",

booktitle = "Handbook of elliptic and hyperelliptic curve cryptography",

address = "United States",

}