000 | 04411nam a22006015i 4500 | ||
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001 | 978-3-540-44994-2 | ||
003 | DE-He213 | ||
005 | 20240423132502.0 | ||
007 | cr nn 008mamaa | ||
008 | 121227s2000 gw | s |||| 0|eng d | ||
020 |
_a9783540449942 _9978-3-540-44994-2 |
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024 | 7 |
_a10.1007/10722028 _2doi |
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050 | 4 | _aQA241-247.5 | |
072 | 7 |
_aPBH _2bicssc |
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072 | 7 |
_aMAT022000 _2bisacsh |
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072 | 7 |
_aPBH _2thema |
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082 | 0 | 4 |
_a512.7 _223 |
245 | 1 | 0 |
_aAlgorithmic Number Theory _h[electronic resource] : _b4th International Symposium, ANTS-IV Leiden, The Netherlands, July 2-7, 2000 Proceedings / _cedited by Wieb Bosma. |
250 | _a1st ed. 2000. | ||
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c2000. |
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300 |
_aIX, 612 p. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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_aonline resource _bcr _2rdacarrier |
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_atext file _bPDF _2rda |
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490 | 1 |
_aLecture Notes in Computer Science, _x1611-3349 ; _v1838 |
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505 | 0 | _aInvited Talks -- The Complexity of Some Lattice Problems -- Rational Points Near Curves and Small Nonzero / x 3 ? y 2/ via Lattice Reduction -- Coverings of Curves of Genus 2 -- Lattice Reduction in Cryptology: An Update -- Contributed Papers -- Construction of Secure C ab Curves Using Modular Curves -- Curves over Finite Fields with Many Rational Points Obtained by Ray Class Field Extensions -- New Results on Lattice Basis Reduction in Practice -- Baby-Step Giant-Step Algorithms for Non-uniform Distributions -- On Powers as Sums of Two Cubes -- Factoring Polynomials over ?-Adic Fields -- Strategies in Filtering in the Number Field Sieve -- Factoring Polynomials over Finite Fields and Stable Colorings of Tournaments -- Computing Special Values of Partial Zeta Functions -- Construction of Tables of Quartic Number Fields -- Counting Discriminants of Number Fields of Degree up to Four -- On Reconstruction of Algebraic Numbers -- Dissecting a Sieve to Cut Its Need for Space -- Counting Points on Hyperelliptic Curves over Finite Fields -- Modular Forms for GL(3) and Galois Representations -- Modular Symbols and Hecke Operators -- Fast Jacobian Group Arithmetic on C ab Curves -- Lifting Elliptic Curves and Solving the Elliptic Curve Discrete Logarithm Problem -- A One Round Protocol for Tripartite Diffie–Hellman -- On Exponential Sums and Group Generators for Elliptic Curves over Finite Fields -- Component Groups of Quotients of J 0(N) -- Fast Computation of Relative Class Numbers of CM-Fields -- On Probable Prime Testing and the Computation of Square Roots mod n -- Improving Group Law Algorithms for Jacobians of Hyperelliptic Curves -- Central Values of Artin L-Functions for Quaternion Fields -- The Pseudoprimes up to 1013 -- Computing the Number of Goldbach Partitions up to 5 108 -- NumericalVerification of the Brumer-Stark Conjecture -- Explicit Models of Genus 2 Curves with Split CM -- Reduction in Purely Cubic Function Fields of Unit Rank One -- Factorization in the Composition Algebras -- A Fast Algorithm for Approximately Counting Smooth Numbers -- Computing All Integer Solutions of a General Elliptic Equation -- A Note on Shanks’s Chains of Primes -- Asymptotically Fast Discrete Logarithms in Quadratic Number Fields -- Asymptotically Fast GCD Computation in ?[i]. | |
650 | 0 | _aNumber theory. | |
650 | 0 | _aCryptography. | |
650 | 0 | _aData encryption (Computer science). | |
650 | 0 | _aAlgorithms. | |
650 | 0 |
_aComputer science _xMathematics. |
|
650 | 0 | _aDiscrete mathematics. | |
650 | 1 | 4 | _aNumber Theory. |
650 | 2 | 4 | _aCryptology. |
650 | 2 | 4 | _aAlgorithms. |
650 | 2 | 4 | _aSymbolic and Algebraic Manipulation. |
650 | 2 | 4 | _aDiscrete Mathematics in Computer Science. |
700 | 1 |
_aBosma, Wieb. _eeditor. _4edt _4http://id.loc.gov/vocabulary/relators/edt |
|
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer Nature eBook | |
776 | 0 | 8 |
_iPrinted edition: _z9783540676959 |
776 | 0 | 8 |
_iPrinted edition: _z9783662179826 |
830 | 0 |
_aLecture Notes in Computer Science, _x1611-3349 ; _v1838 |
|
856 | 4 | 0 | _uhttps://doi.org/10.1007/10722028 |
912 | _aZDB-2-SCS | ||
912 | _aZDB-2-SXCS | ||
912 | _aZDB-2-LNC | ||
912 | _aZDB-2-BAE | ||
942 | _cSPRINGER | ||
999 |
_c188265 _d188265 |