000 | 04402nam a22005417a 4500 | ||
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003 | APU | ||
005 | 20221028165308.0 | ||
007 | cr cn |||m|||a | ||
008 | 220307s2015 nyua fsb 000 0deng d | ||
020 | _a9781627055383 (pdf) | ||
020 | _a9781627055482 (epub) | ||
020 | _z9781627055376 | ||
020 | _z9781627055499 | ||
035 | _a(OCoLC)908155895 | ||
035 | _a(CaBNVSL)swl00404865 | ||
040 |
_aCaBNVSL _beng _cAPU _dSF |
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050 | 4 |
_aQA76.9.A25 _bG37 2015eb |
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082 | 0 | 4 |
_a005.8 _223 |
100 | 1 |
_aGarg, Sanjam., _947388 |
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245 | 1 | 0 |
_aCandidate multilinear maps _h[electronic resources] / _cSanjam Garg. |
250 | _aFirst edition. | ||
260 |
_a[New York] : _bAssociation for Computing Machinery, |
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260 |
_a[San Rafael, California] : _bMorgan & Claypool, _cc2015. |
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300 |
_a1 online resources (xi, 108 pages) : _billustrations. |
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490 | 1 |
_aACM books ; _v#5 |
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504 | _aIncludes bibliographical references (pages 95-108). | ||
505 | 0 | _a1. Introduction -- 1.1 Our results -- 1.2 Brief overview -- 1.3 Organization -- | |
505 | 8 | _a2. Survey of applications -- 2.1 How flexible can we make access to encrypted data? -- 2.2 Program obfuscation -- 2.3 Other applications -- | |
505 | 8 | _a3. Multilinear maps and graded encoding systems -- 3.1 Cryptographic multilinear maps -- 3.1.1 Efficient procedures -- 3.1.2 Hardness assumptions -- 3.2 Graded encoding schemes -- 3.2.1 Efficient procedures, the dream version -- 3.2.2 Efficient procedures, the real-life version -- 3.2.3 Hardness assumptions -- | |
505 | 8 | _a4. Preliminaries I: lattices -- 4.1 Lattices -- 4.2 Gaussians on lattices -- 4.3 Sampling from discrete Gaussian -- | |
505 | 8 | _a5. Preliminaries II: algebraic number theory background -- 5.1 Number fields and rings of integers -- 5.2 Embeddings and geometry -- 5.3 Ideals in the ring of integers -- 5.4 Prime ideals, unique factorization and distributions -- 5.5 Ideal lattices -- | |
505 | 8 | _a6. The new encoding schemes -- 6.1 The basic graded encoding scheme -- 6.2 Setting the parameters -- 6.3 Extensions and variants -- | |
505 | 8 | _a7. Security of our constructions -- 7.1 Our hardness assumption -- 7.2 Simplistic models of attacks -- 7.2.1 Hardness of GCDH in the arithmetic straight-line program model -- 7.3 Cryptanalysis beyond the generic models -- 7.3.1 Easily computable quantities -- 7.3.2 Using averaging attacks -- 7.3.3 Cryptanalysis with extra help -- 7.4 Some countermeasures -- 7.5 Easiness of other problems -- | |
505 | 8 | _a8. Preliminaries III: computation in a number field -- 8.1 Some computational aspects of number fields and ideal lattices -- 8.2 Computational hardness assumptions over number fields -- | |
505 | 8 | _a9. Survey of lattice cryptanalysis -- 9.1 Averaging attacks -- 9.2 Gentry-Szydlo: recovering v from v.v and (v) -- 9.3 Nguyen-Regev: a gradient descent attack -- 9.4 Ducas-Nguyen: gradient descent over zonotopes and deformed parallelepipeds -- 9.5 A new algorithm for the closest principal ideal generator problem -- 9.6 Coppersmith attacks -- 9.7 Dimension halving in principal ideal lattices -- | |
505 | 8 | _a10. One-round key exchange -- 10.1 Definitions -- 10.2 Our construction -- | |
505 | 8 | _aAppendix A. Generalizing graded encoding systems -- Efficient procedures, the dream version -- Efficient procedures, the real-life version -- Hardness assumptions -- Bibliography -- Author's biography. | |
506 | _aAbstract freely available; full-text restricted to subscribers or individual document purchasers. | ||
506 | _aOnline version restricted to APU staff and students only. | ||
520 | 3 | _aCryptography to me is "black magic," enabling tasks that often seem paradoxical or simply just impossible. Like the space explorers, we cryptographers often wonder, "What are the boundaries of this world of 'black magic'?" This book lays one of the founding stones in furthering our understanding of these edges. | |
538 | _aMode of access: World Wide Web. | ||
538 | _aSystem requirements: Internet connectivity; World Wide Web browser.and Adobe Acrobat Reader. | ||
650 | 0 | _aData encryption (Computer science) | |
650 | 0 |
_aCryptography. _911359 |
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830 | 0 |
_aACM books ; _v#5. _947379 |
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856 | 4 | 8 |
_uhttps://dl-acm-org.ezproxy.apu.edu.my/doi/book/10.1145/2714451 _yAvailable in ACM Digital Library. Requires Log In to view full text. |
942 |
_2lcc _cE-Book |
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999 |
_c383688 _d383688 |