| 000 | 02317nam a2200349 i 4500 | ||
|---|---|---|---|
| 001 | CR9781316271575 | ||
| 003 | UkCbUP | ||
| 005 | 20240301142635.0 | ||
| 006 | m|||||o||d|||||||| | ||
| 007 | cr|||||||||||| | ||
| 008 | 141111s2017||||enk o ||1 0|eng|d | ||
| 020 | _a9781316271575 (ebook) | ||
| 020 | _z9781107109353 (hardback) | ||
| 040 |
_aUkCbUP _beng _erda _cUkCbUP |
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| 050 | 0 | 0 |
_aQA241 _b.T657 2017 |
| 082 | 0 | 0 |
_a512.7 _223 |
| 245 | 0 | 0 |
_aTopics in computational number theory inspired by Peter L. Montgomery / _cedited by Joppe W. Bos, NXP Semiconductors, Leven, Belgium, Arjen K. Lenstra, EPFL, Lausanne, Switzerland. |
| 264 | 1 |
_aCambridge : _bCambridge University Press, _c2017. |
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| 300 |
_a1 online resource (xiii, 266 pages) : _bdigital, PDF file(s). |
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| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
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| 338 |
_aonline resource _bcr _2rdacarrier |
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| 500 | _aTitle from publisher's bibliographic system (viewed on 24 Oct 2017). | ||
| 520 | _aPeter L. Montgomery has made significant contributions to computational number theory, introducing many basic tools such as Montgomery multiplication, Montgomery simultaneous inversion, Montgomery curves, and the Montgomery ladder. This book features state-of-the-art research in computational number theory related to Montgomery's work and its impact on computational efficiency and cryptography. Topics cover a wide range of topics such as Montgomery multiplication for both hardware and software implementations; Montgomery curves and twisted Edwards curves as proposed in the latest standards for elliptic curve cryptography; and cryptographic pairings. This book provides a comprehensive overview of integer factorization techniques, including dedicated chapters on polynomial selection, the block Lanczos method, and the FFT extension for algebraic-group factorization algorithms. Graduate students and researchers in applied number theory and cryptography will benefit from this survey of Montgomery's work. | ||
| 600 | 1 | 0 |
_aMontgomery, Peter L., _d1947- |
| 650 | 0 | _aNumber theory. | |
| 650 | 0 |
_aCryptography _xMathematics. |
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| 700 | 1 |
_aBos, Joppe W., _eeditor. |
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| 700 | 1 |
_aLenstra, A. K. _q(Arjen K.), _d1956- _eeditor. |
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| 776 | 0 | 8 |
_iPrint version: _z9781107109353 |
| 856 | 4 | 0 | _uhttps://doi.org/10.1017/9781316271575 |
| 999 |
_c9191 _d9191 |
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