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Computing pairings on elliptic curves with embedding degree two via biextensions

Journal of Mathematical Cryptology
Bilinear pairings have emerged as a fundamental tool in public-key cryptography, enabling advanced protocols such as identity-based encryption, short signatures, and zero-knowledge proofs.
Zheng Yuhao, Lin Jianming, Zhao Chang-An
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On the security of the CLSV PAEKS scheme

Journal of Mathematical Cryptology
Calderini, Longo, Sala and Villa (Journal of Mathematical Cryptology 2024) proposed a public key encryption with keyword search (PKES) scheme which we call the CLSV scheme. They claim that the scheme provides Ciphertext-Indistinguishability (CI) security
Emura Keita, Ohigashi Toshihiro, Sugio Nobuyuki +2 more
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Searchable encryption with randomized ciphertext and randomized keyword search

Journal of Mathematical Cryptology
The notion of public-key encryption with keyword search (PEKS) was introduced to search over encrypted data without performing any decryption. In this article, we propose a PEKS scheme in which both the encrypted keyword and the trapdoor are randomized ...
Calderini Marco +3 more
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HERON QUADRILATERALS VIA ELLIPTIC CURVES. [PDF]