1.

Record Nr.

UNINA9911046012703321

Titolo

Mathematical Foundations for Post-Quantum Cryptography : Crypto-Math CREST / / edited by Tsuyoshi Takagi, Masato Wakayama, Noboru Kunihiro, Keisuke Tanaka, Kazufumi Kimoto, Momonari Kudo

Pubbl/distr/stampa

Singapore : , : Springer Nature Singapore : , : Imprint : Springer, , 2026

ISBN

9789819612185

Edizione

[1st ed. 2026.]

Descrizione fisica

1 online resource (IX, 496 p. 46 illus., 25 illus. in color.)

Collana

Mathematics for Industry, , 2198-3518 ; ; 40

Disciplina

530.15

Soggetti

Mathematical physics

Geometry, Algebraic

Number theory

Mathematical Physics

Algebraic Geometry

Computational Number Theory

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di contenuto

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.

Sommario/riassunto

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.