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Mathematics of Isogeny Based Cryptography
These lectures notes were written for a summer school on Mathematics for post-quantum cryptography in Thiès, Senegal. They try to provide a guide for Masters' students to get through the vast literature on elliptic curves, without getting lost on their way to learning isogeny based cryptography.
openaire +3 more sources
Hyper-Kähler Manifolds of Generalized Kummer Type and the Kuga-Satake Correspondence. [PDF]
Varesco M, Voisin C.
europepmc +1 more source
Oblivious signature based on the theory of elliptic curve isogeny
This paper presents a novel 1-out-of-n post-quantum oblivious signature scheme based on supersingular elliptic curve isogenies. The proposed scheme is built upon the Commutative Supersingular Isogeny based Fiat-Shamir scheme whose security relies on the ...
A. F. Khutsaeva
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Advanced Isogeny-based Cryptosystems
Cryptography has a rich history, spanning thousands of years and evolving from ancient techniques such as the scytale and Caesar’s cipher to modern systems like RSA, DHKE, and ECDH. However, quantum computing poses a substantial threat to the security of
Lai, Yi-Fu
core
Non-Invertible Public Key Certificates. [PDF]
Lizama-Perez LA, López R JM.
europepmc +1 more source
Lattices in Tate modules. [PDF]
Poonen B, Rybakov S.
europepmc +1 more source
The metaverse digital environments: a scoping review of the challenges, privacy and security issues. [PDF]
Tukur M +6 more
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A Programmable Crypto-Processor for National Institute of Standards and Technology Post-Quantum Cryptography Standardization Based on the RISC-V Architecture. [PDF]
Lee J, Kim W, Kim JH.
europepmc +1 more source
SI-CP-ABE: an isogeny-based ciphertext-policy attribute-based encryption scheme
Ciphertext-policy attribute-based encryption (CP-ABE) serves as a fundamental cryptographic primitive for fine-grained data access control. However, existing schemes, primarily based on bilinear maps or lattice hardness assumptions, generally suffer from
Chen Xiwen +3 more
doaj

