Efficient arithmetic in (pseudo-)Mersenne prime order fields

Author:

Nath Kaushik,Sarkar Palash

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,Computer Networks and Communications,Algebra and Number Theory,Applied Mathematics,Discrete Mathematics and Combinatorics,Computer Networks and Communications,Algebra and Number Theory

Cited by 6 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Polynomial hashing over prime order fields;Advances in Mathematics of Communications;2024

2. Faster Constant-time Evaluation of the Kronecker Symbol with Application to Elliptic Curve Hashing;Proceedings of the 2023 ACM SIGSAC Conference on Computer and Communications Security;2023-11-15

3. High-Assurance Field Inversion for Curve-Based Cryptography;2023 IEEE 36th Computer Security Foundations Symposium (CSF);2023-07

4. Kummer versus Montgomery Face-off over Prime Order Fields;ACM Transactions on Mathematical Software;2022-05-26

5. Security and efficiency trade-offs for elliptic curve Diffie–Hellman at the 128-bit and 224-bit security levels;Journal of Cryptographic Engineering;2021-04-12

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