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024 7 $a10.1007/978-981-96-1218-5
035   $a(CKB)41826903600041
035   $a(DE-He213)978-981-96-1218-5
035   $a(MiAaPQ)EBC32387928
035   $a(EXLCZ)9941826903600041
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101 0 $aeng
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181   $ctxt$2rdacontent
182   $cc$2rdamedia
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200 10$aMathematical Foundations for Post-Quantum Cryptography $eCrypto-Math CREST /$fedited by Tsuyoshi Takagi, Masato Wakayama, Noboru Kunihiro, Keisuke Tanaka, Kazufumi Kimoto, Momonari Kudo
205   $a1st ed. 2026.
210  1$aSingapore :$cSpringer Nature Singapore :$cImprint: Springer,$d2026.
215   $a1 online resource (IX, 496 p. 46 illus., 25 illus. in color.) 
225 1 $aMathematics for Industry,$x2198-3518 ;$v40
311 08$a9789819612178 
327   $a1. Algebraic Geometry -- 2. Number Theory -- 3. Theory of Computation -- 4. Quantum Computation -- 5. Quantum Field Theory -- 6. Mathematical Physics -- 7. Representation Theory -- 8. Lattice Theory -- 9. Multivariate Polynomial Theory -- 10. Data Encryption -- 11. Digital Signature -- 12. Searchable Encryption -- 13. Obfuscation -- 14. Privacy Protection -- 15. Copyright Protection -- 16. ID-based Encryption.
330   $aThis open access book presents mathematical foundations for cryptography securely used in the era of quantum computers. In particular, this book aims to deepen the basic mathematics of post-quantum cryptography, model the strongest possible attacks such as side-channel attacks, and construct cryptographic protocols that guarantee security against such attacks. This book is a sequel of the successful book entitled by ``Mathematical Modeling for Next-Generation Cryptography - CREST Crypto-Math Project'' which was published in 2018. The book is suitable for use in an advanced graduate course in mathematical cryptography and as a reference book for experts.
410  0$aMathematics for Industry,$x2198-3518 ;$v40
606   $aMathematical physics
606   $aGeometry, Algebraic
606   $aNumber theory
606   $aMathematical Physics
606   $aAlgebraic Geometry
606   $aComputational Number Theory
615  0$aMathematical physics.
615  0$aGeometry, Algebraic.
615  0$aNumber theory.
615 14$aMathematical Physics.
615 24$aAlgebraic Geometry.
615 24$aComputational Number Theory.
676   $a530.15
702   $aTakagi$b Tsuyoshi$4edt$4http://id.loc.gov/vocabulary/relators/edt
702   $aWakayama$b Masato$4edt$4http://id.loc.gov/vocabulary/relators/edt
702   $aKunihiro$b Noboru$4edt$4http://id.loc.gov/vocabulary/relators/edt
702   $aTanaka$b K.$4edt$4http://id.loc.gov/vocabulary/relators/edt
702   $aKimoto$b Kazufumi$4edt$4http://id.loc.gov/vocabulary/relators/edt
702   $aKudo?$b Momonari$4edt$4http://id.loc.gov/vocabulary/relators/edt
906   $aBOOK
912   $a9911046012703321
996   $aMathematical Foundations for Post-Quantum Cryptography$94471477
997   $aUNINA