000			03114nam a2200397Ki 4500
001			ocn846496057
003			OCoLC
005			20240726105352.0
008			130603s2001 enk ob 001 0 eng d
040			_aNT _beng _erda _cNT
020			_a9781107089297 _q((electronic)l(electronic)ctronic)l((electronic)l(electronic)ctronic)ctronic bk.
050	0	4	_aQA565 _b.R385 2001
049			_aNTA
100	1		_aNiederreiter, Harald, _d1944- _e1
245	1	0	_aRational points on curves over finite fields _btheory and applications / _cHarald Niederreiter, Chaoping Xing.
260			_aCambridge ; _aNew York : _bCambridge University Press, _c(c)2001.
300			_a1 online resource (x, 245 pages)
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_adata file _2rda
490	1		_aLondon Mathematical Society lecture note series ; _v285
504			_a2
505	0	0	_tBackground on Function Fields -- _tRiemann-Roch Theorem -- _tDivisor Class Groups and Ideal Class Groups -- _tAlgebraic Extensions and the Hurwitz Formula -- _tRamification Theory of Galois Extensions -- _tConstant Field Extensions -- _tZeta Functions and Rational Places -- _tClass Field Theory -- _tLocal Fields -- _tNewton Polygons -- _tRamification Groups and Conductors -- _tGlobal Fields -- _tRay Class Fields and Hilbert Class Fields -- _tNarrow Ray Class Fields -- _tClass Field Towers -- _tExplicit Function Fields -- _tKummer and Artin-Schreier Extensions -- _tCyclotomic Function Fields -- _tDrinfeld Modules of Rank 1 -- _tFunction Fields with Many Rational Places -- _tFunction Fields from Hilbert Class Fields -- _tFunction Fields from Narrow Ray Class Fields -- _tThe First Construction -- _tThe Second Construction -- _tThe Third Construction -- _tFunction Fields from Cyclotomic Fields -- _tExplicit Function Fields -- _tAsymptotic Results -- _tAsymptotic Behavior of Towers -- _tThe Lower Bound of Serre -- _tFurther Lower Bounds for A(q[superscript m]) -- _tExplicit Towers -- _tLower Bounds on A(2), A(3), and A(5) -- _tApplications to Algebraic Coding Theory -- _tGoppa's Algebraic-Geometry Codes -- _tBeating the Asymptotic Gilbert-Varshamov Bound -- _tNXL Codes -- _tXNL Codes -- _tA Propagation Rule for Linear Codes -- _tApplications to Cryptography -- _tBackground on Stream Ciphers and Linear Complexity -- _tConstructions of Almost Perfect Sequences -- _tA Construction of Perfect Hash Families -- _tHash Families and Authentication Schemes -- _tApplications to Low-Discrepancy Sequences.
530			_a2 _ub
650		0	_aCurves, Algebraic.
650		0	_aFinite fields (Algebra)
650		0	_aRational points (Geometry)
650		0	_aCoding theory.
655		1	_aElectronic Books.
700	1		_aXing, Chaoping, _d1963-
856	4	0	_uhttps://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=569249&site=eds-live&custid=s3260518 _zClick to access digital title | log in using your CIU ID number and my.ciu.edu password
942			_cOB _D _eEB _hQA _m2001 _QOL _R _x _8NFIC _2LOC
994			_a02 _bNT
999			_c98112 _d98112
902			_a1 _bCynthia Snell _c1 _dCynthia Snell