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008			151226s2015 gw | s |||| 0|eng d
020			_a9783319258232 _z978-3-319-25823-2
024	7		_a10.1007/978-3-319-25823-2 _2doi
050		4	_aQA75.5-76.95
072		7	_aUY _2bicssc
072		7	_aCOM014000 _2bisacsh
072		7	_aUY _2thema
072		7	_aUYA _2thema004.0151 _223
100	1		_aYan, Song Y. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut
245	1	0	_aQuantum Computational Number Theory / _cby Song Y. Yan.
250			_a1st ed. 2015.
264		1	_aCham : _bSpringer International Publishing : _bImprint: Springer, _c2015.
300			_a1 online resource
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
505	0		_aIntroduction -- Classical and Quantum Computation -- Quantum Computing for Integer Factorization -- Quantum Computing for Discrete Logarithms -- Quantum Computing for Elliptic Curve Discrete Logarithms -- Miscellaneous Quantum Algorithms.
520			_aThis book provides a comprehensive introduction to advanced topics in the computational and algorithmic aspects of number theory, focusing on applications in cryptography. Readers will learn to develop fast algorithms, including quantum algorithms, to solve various classic and modern number theoretic problems. Key problems include prime number generation, primality testing, integer factorization, discrete logarithms, elliptic curve arithmetic, conjecture and numerical verification. The author discusses quantum algorithms for solving the Integer Factorization Problem (IFP), the Discrete Logarithm Problem (DLP), and the Elliptic Curve Discrete Logarithm Problem (ECDLP) and for attacking IFP, DLP and ECDLP based cryptographic systems. Chapters also cover various other quantum algorithms for Pell's equation, principal ideal, unit group, class group, Gauss sums, prime counting function, Riemann's hypothesis and the BSD conjecture. Quantum Computational Number Theory is self-contained and intended to be used either as a graduate text in computing, communications and mathematics, or as a basic reference in the related fields. Number theorists, cryptographers and professionals working in quantum computing, cryptography and network security will find this book a valuable asset.
650		0	_aInformation theory.
650		0	_aComputer security.
650		0	_aCoding theory.
650		0	_aData encryption (Computer science).
650	1	4	_aTheory of Computation. _0http://scigraph.springernature.com/things/product-market-codes/I16005
650	2	4	_aSystems and Data Security. _0http://scigraph.springernature.com/things/product-market-codes/I28060
650	2	4	_aCoding and Information Theory. _0http://scigraph.springernature.com/things/product-market-codes/I15041
650	2	4	_aCryptology. _0http://scigraph.springernature.com/things/product-market-codes/I28020
710	2		_aSpringerLink (Online service)
856	4	0	_uhttps://doi.org/10.1007/978-3-319-25823-2 _3Springer eBooks _zOnline access link to the resource
912			_aZDB-2-SCS
999			_c200434018 _d52230
942			_2lcc _cEBK
041			_aeng