Algebraic background

Christophe Doche; David Lubicz

Algebraic background

Christophe Doche, David Lubicz

School of Computing

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

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.

Original language	English
Title of host publication	Handbook of elliptic and hyperelliptic curve cryptography
Place of Publication	Boco Raton, Florida, USA
Publisher	CRC Press, Taylor & Francis Group
Pages	19-37
Number of pages	19
ISBN (Electronic)	9781420034981
ISBN (Print)	9781584885184
Publication status	Published - 2006

Publication series

Name	Discrete mathematics and its applications
Publisher	Chapman & Hall/CRC
Volume	34

Keywords

algebraic structures
number theory
Galois theory
finite fields

Access to Document

http://www.hyperelliptic.org/HEHCC/

Cite this

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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.",

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AB - 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.

KW - algebraic structures

KW - number theory

KW - Galois theory

KW - finite fields

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M3 - Chapter

SN - 9781584885184

T3 - Discrete mathematics and its applications

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BT - Handbook of elliptic and hyperelliptic curve cryptography

PB - CRC Press, Taylor & Francis Group

CY - Boco Raton, Florida, USA

ER -

Algebraic background

Abstract

Publication series

Keywords

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