000			02810nam a22003978i 4500
001			CR9781107360211
003			UkCbUP
005			20200124160223.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			130311s1999||||enk o ||1 0|eng|d
020			_a9781107360211 (ebook)
020			_z9780521653749 (paperback)
040			_aUkCbUP _beng _erda _cUkCbUP
050	0	0	_aQA76.9.A25 _b.B57 1999
082	0	0	_a005.8/2 _221
100	1		_aBlake, Ian F., _eauthor.
245	1	0	_aElliptic curves in cryptography / _cI.F. Blake, G. Seroussi, N.P. Smart.
264		1	_aCambridge : _bCambridge University Press, _c1999.
300			_a1 online resource (xv, 204 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aLondon Mathematical Society lecture note series ; _v265
500			_aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505	0		_aCh. I. Introduction -- Ch. II. Finite Field Arithmetic -- Ch. III. Arithmetic on an Elliptic Curve -- Ch. IV. Efficient Implementation of Elliptic Curves -- Ch. V. The Elliptic Curve Discrete Logarithm Problem -- Ch. VI. Determining the Group Order -- Ch. VII. Schoof's Algorithm and Extensions -- Ch. VIII. Generating Curves using Complex Multiplication -- Ch. IX. Other Applications of Elliptic Curves -- Ch. X. Hyperelliptic Cryptosystems -- App. A. Curve Examples.
520			_aIn the past few years elliptic curve cryptography has moved from a fringe activity to a major challenger to the dominant RSA/DSA systems. Elliptic curves offer major advances on older systems such as increased speed, less memory and smaller key sizes. As digital signatures become more and more important in the commercial world the use of elliptic curve-based signatures will become all pervasive. This book summarizes knowledge built up within Hewlett-Packard over a number of years, and explains the mathematics behind practical implementations of elliptic curve systems. Due to the advanced nature of the mathematics there is a high barrier to entry for individuals and companies to this technology. Hence this book will be invaluable not only to mathematicians wanting to see how pure mathematics can be applied but also to engineers and computer scientists wishing (or needing) to actually implement such systems.
650		0	_aComputer security.
650		0	_aCryptography.
650		0	_aCurves, Elliptic _xData processing.
700	1		_aSeroussi, G. _q(Gadiel), _d1955- _eauthor.
700	1		_aSmart, Nigel P. _q(Nigel Paul), _d1967- _eauthor.
776	0	8	_iPrint version: _z9780521653749
830		0	_aLondon Mathematical Society lecture note series ; _v265.
856	4	0	_uhttps://doi.org/10.1017/CBO9781107360211
999			_c516930 _d516928