000 | 03636nam a22005535i 4500 | ||
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001 | 978-981-19-7644-5 | ||
003 | DE-He213 | ||
005 | 20240508082117.0 | ||
007 | cr nn 008mamaa | ||
008 | 221210s2023 si | s |||| 0|eng d | ||
020 |
_a9789811976445 _9978-981-19-7644-5 |
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024 | 7 |
_a10.1007/978-981-19-7644-5 _2doi |
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072 | 7 |
_aKFF _2bicssc |
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_aBUS027000 _2bisacsh |
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_aKFF _2thema |
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_a332 _223 |
100 | 1 |
_aZheng, Zhiyong. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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245 | 1 | 0 |
_aModern Cryptography Volume 2 _h[electronic resource] : _bA Classical Introduction to Informational and Mathematical Principle / _cby Zhiyong Zheng, Kun Tian, Fengxia Liu. |
250 | _a1st ed. 2023. | ||
264 | 1 |
_aSingapore : _bSpringer Nature Singapore : _bImprint: Springer, _c2023. |
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300 |
_aXI, 191 p. 2 illus. _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 |
_aFinancial Mathematics and Fintech, _x2662-7175 |
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505 | 0 | _aChapter 1. Gauss lattice theory -- Chapter 2. Reduction principle of Ajtai -- Chapter 3. Learning with errors -- Chapter 4. LWE cryptosystem -- Chapter 5. Cyclic lattice and Ideal lattice -- Chapter 6. Fully Homomorphic Encryption -- Chapter 7. General NTRU cryptosystem. | |
506 | 0 | _aOpen Access | |
520 | _aThis open access book covers the most cutting-edge and hot research topics and fields of post-quantum cryptography. The main purpose of this book is to focus on the computational complexity theory of lattice ciphers, especially the reduction principle of Ajtai, in order to fill the gap that post-quantum ciphers focus on the implementation of encryption and decryption algorithms, but the theoretical proof is insufficient. In Chapter 3, Chapter 4 and Chapter 6, author introduces the theory and technology of LWE distribution, LWE cipher and homomorphic encryption in detail. When using random analysis tools, there is a problem of "ambiguity" in both definition and algorithm. The greatest feature of this book is to use probability distribution to carry out rigorous mathematical definition and mathematical demonstration for various unclear or imprecise expressions, so as to make it a rigorous theoretical system for classroom teaching and dissemination. Chapters 5 and 7 further expand and improve the theory of cyclic lattice, ideal lattice and generalized NTRU cryptography. This book is used as a professional book for graduate students majoring in mathematics and cryptography, as well as a reference book for scientific and technological personnel engaged in cryptography research. | ||
650 | 0 | _aFinance. | |
650 | 0 |
_aSocial sciences _xMathematics. |
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650 | 1 | 4 | _aFinancial Economics. |
650 | 2 | 4 | _aMathematics in Business, Economics and Finance. |
700 | 1 |
_aTian, Kun. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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700 | 1 |
_aLiu, Fengxia. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer Nature eBook | |
776 | 0 | 8 |
_iPrinted edition: _z9789811976438 |
776 | 0 | 8 |
_iPrinted edition: _z9789811976452 |
776 | 0 | 8 |
_iPrinted edition: _z9789811976469 |
830 | 0 |
_aFinancial Mathematics and Fintech, _x2662-7175 |
|
856 | 4 | 0 | _uhttps://doi.org/10.1007/978-981-19-7644-5 |
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912 | _aZDB-2-SXEF | ||
912 | _aZDB-2-SOB | ||
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