Equidistribution among cosets of elliptic curve points in intervals

DOI10.1515/JMC-2019-0020zbMath1462.94041OpenAlexW3074909370MaRDI QIDQ2023315

Mehdi Tibouchi, Taechan Kim

Publication date: 3 May 2021

Published in: Journal of Mathematical Cryptology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jmc-2019-0020

zbMATH Keywords

character sumselliptic curve cryptographyfault analysisstatistical distance

Mathematics Subject Classification ID

Cryptography (94A60) Curves over finite and local fields (11G20) Trigonometric and exponential sums (general theory) (11L03) Authentication, digital signatures and secret sharing (94A62) Factorization (11Y05)

Uses Software

• Curve25519

Cites Work

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• qDSA: small and secure digital signatures with curve-based Diffie-Hellman key pairs
• Speeding the Pollard and Elliptic Curve Methods of Factorization
• Public Key Cryptography - PKC 2006

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