LEADER 03232nam 22006613 450 001 9910633996003321 005 20250628110051.0 035 $a(CKB)5590000001022473 035 $a(oapen)https://directory.doabooks.org/handle/20.500.12854/94984 035 $a(MiAaPQ)EBC7156553 035 $a(Au-PeEL)EBL7156553 035 $a(OCoLC)1356507626 035 $a(ODN)ODN0010072045 035 $a(oapen)doab94984 035 $a(EXLCZ)995590000001022473 100 $a20230317d2023 uy 0 101 0 $aeng 135 $aurcnu|||uuuuu 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aModern Cryptography Volume 2 $eA Classical Introduction to Informational and Mathematical Principle 205 $a1st ed. 210 $d2022 210 1$aSingapore :$cSpringer,$d2023. 210 4$dİ2023. 215 $a1 electronic resource (191 p.) 225 1 $aFinancial Mathematics and Fintech 311 08$a981-19-7643-0 311 08$a981-19-7644-9 330 $aThis open access book covers the most cutting-edge and hot research topics and fields of post-quantum cryptography. The main purpose of this book is to focus on the computational complexity theory of lattice ciphers, especially the reduction principle of Ajtai, in order to fill the gap that post-quantum ciphers focus on the implementation of encryption and decryption algorithms, but the theoretical proof is insufficient. In Chapter 3, Chapter 4 and Chapter 6, author introduces the theory and technology of LWE distribution, LWE cipher and homomorphic encryption in detail. When using random analysis tools, there is a problem of "ambiguity" in both definition and algorithm. The greatest feature of this book is to use probability distribution to carry out rigorous mathematical definition and mathematical demonstration for various unclear or imprecise expressions, so as to make it a rigorous theoretical system for classroom teaching and dissemination. Chapters 5 and 7 further expand and improve the theory of cyclic lattice, ideal lattice and generalized NTRU cryptography. This book is used as a professional book for graduate students majoring in mathematics and cryptography, as well as a reference book for scientific and technological personnel engaged in cryptography research. 410 0$aFinancial mathematics and Fintech 517 0 $aModern Crytography Volume Two 606 $aMacroeconomics$2bicssc 606 $aApplied mathematics$2bicssc 610 $aPost-Quantum Cryptography 610 $aGauss Lattice 610 $aReduction 610 $aLearning With Errors 610 $aFHE 610 $aFourier transform 610 $aIdeal lattice 610 $aNTRU 610 $aSmoothing parameters 610 $aDiscrete Gaussian measure 615 7$aMacroeconomics 615 7$aApplied mathematics 686 $aBUS039000$aMAT003000$2bisacsh 700 $aZheng$b Zhiyong$01239190 701 $aTian$b Kun$01338612 701 $aLiu$b Fengxia$01338613 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910633996003321 996 $aModern Cryptography Volume 2$93058813 997 $aUNINA