03262nam 22005775 450 991104601270332120251215110027.0978981961218510.1007/978-981-96-1218-5(CKB)41826903600041(DE-He213)978-981-96-1218-5(MiAaPQ)EBC32387928(EXLCZ)994182690360004120251028d2026 u| 0engur|||||||||||txtrdacontentcrdamediacrrdacarrierMathematical Foundations for Post-Quantum Cryptography Crypto-Math CREST /edited by Tsuyoshi Takagi, Masato Wakayama, Noboru Kunihiro, Keisuke Tanaka, Kazufumi Kimoto, Momonari Kudo1st ed. 2026.Singapore :Springer Nature Singapore :Imprint: Springer,2026.1 online resource (IX, 496 p. 46 illus., 25 illus. in color.) Mathematics for Industry,2198-3518 ;409789819612178 1. 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.This 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.Mathematics for Industry,2198-3518 ;40Mathematical physicsGeometry, AlgebraicNumber theoryMathematical PhysicsAlgebraic GeometryComputational Number TheoryMathematical physics.Geometry, Algebraic.Number theory.Mathematical Physics.Algebraic Geometry.Computational Number Theory.530.15Takagi Tsuyoshiedthttp://id.loc.gov/vocabulary/relators/edtWakayama Masatoedthttp://id.loc.gov/vocabulary/relators/edtKunihiro Noboruedthttp://id.loc.gov/vocabulary/relators/edtTanaka K.edthttp://id.loc.gov/vocabulary/relators/edtKimoto Kazufumiedthttp://id.loc.gov/vocabulary/relators/edtKudō Momonariedthttp://id.loc.gov/vocabulary/relators/edtBOOK9911046012703321Mathematical Foundations for Post-Quantum Cryptography4471477UNINA