Mathematical Foundations for Post-Quantum Cryptography

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 cryptog...

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स्वरूप: Online
भाषा:अंग्रेज़ी
प्रकाशित: Springer Nature 2025
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ऑनलाइन पहुंच:ONIX_20251128T131701_9789819612185_35
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collection Directory of Open Access Books
description 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.
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language eng
publishDate 2025
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publisher Springer Nature
publisherStr Springer Nature
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spelling doab-20.500.12854ir-1695972025-11-29T06:14:09Z Mathematical Foundations for Post-Quantum Cryptography Takagi, Tsuyoshi Wakayama, Masato Kunihiro, Noboru Tanaka, Keisuke Kimoto, Kazufumi Kudo, Momonari Quantum Computation Number Theory Theory of Computation Mathematical Physics Representation Theory Post-Quantum Cryptography Algebraic Geometry Lattice Theory Multivariate Polynomial Theory Open Access thema EDItEUR::P Mathematics and Science::PH Physics::PHU Mathematical physics thema EDItEUR::P Mathematics and Science::PB Mathematics::PBM Geometry::PBMW Algebraic geometry thema EDItEUR::P Mathematics and Science::PB Mathematics::PBH Number theory 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. 2025-11-29T06:14:08Z 2025-11-29T06:14:08Z 2025-11-28T12:21:14Z 2026 book ONIX_20251128T131701_9789819612185_35 https://library.oapen.org/handle/20.500.12657/108685 9789819612185 9789819612178 https://directory.doabooks.org/handle/20.500.12854/169597 eng Mathematics for Industry; Mathematics and Statistics; Mathematics and Statistics (R0) open access image/jpeg n/a https://library.oapen.org/bitstream/20.500.12657/108685/1/9789819612185.pdf Springer Nature Springer 10.1007/978-981-96-1218-5 10.1007/978-981-96-1218-5 9fa3421d-f917-4153-b9ab-fc337c396b5a 118166c3-f189-4bcb-898b-b2df1236c035 9789819612185 9789819612178 Springer 496 Singapore [...] open access
spellingShingle Quantum Computation
Number Theory
Theory of Computation
Mathematical Physics
Representation Theory
Post-Quantum Cryptography
Algebraic Geometry
Lattice Theory
Multivariate Polynomial Theory
Open Access
thema EDItEUR::P Mathematics and Science::PH Physics::PHU Mathematical physics
thema EDItEUR::P Mathematics and Science::PB Mathematics::PBM Geometry::PBMW Algebraic geometry
thema EDItEUR::P Mathematics and Science::PB Mathematics::PBH Number theory
Mathematical Foundations for Post-Quantum Cryptography
title Mathematical Foundations for Post-Quantum Cryptography
title_full Mathematical Foundations for Post-Quantum Cryptography
title_fullStr Mathematical Foundations for Post-Quantum Cryptography
title_full_unstemmed Mathematical Foundations for Post-Quantum Cryptography
title_short Mathematical Foundations for Post-Quantum Cryptography
title_sort mathematical foundations for post quantum cryptography
topic Quantum Computation
Number Theory
Theory of Computation
Mathematical Physics
Representation Theory
Post-Quantum Cryptography
Algebraic Geometry
Lattice Theory
Multivariate Polynomial Theory
Open Access
thema EDItEUR::P Mathematics and Science::PH Physics::PHU Mathematical physics
thema EDItEUR::P Mathematics and Science::PB Mathematics::PBM Geometry::PBMW Algebraic geometry
thema EDItEUR::P Mathematics and Science::PB Mathematics::PBH Number theory
topic_facet Quantum Computation
Number Theory
Theory of Computation
Mathematical Physics
Representation Theory
Post-Quantum Cryptography
Algebraic Geometry
Lattice Theory
Multivariate Polynomial Theory
Open Access
thema EDItEUR::P Mathematics and Science::PH Physics::PHU Mathematical physics
thema EDItEUR::P Mathematics and Science::PB Mathematics::PBM Geometry::PBMW Algebraic geometry
thema EDItEUR::P Mathematics and Science::PB Mathematics::PBH Number theory
url ONIX_20251128T131701_9789819612185_35