تقرير
Cryptanalysis of PLWE based on zero-trace quadratic roots
| العنوان: | Cryptanalysis of PLWE based on zero-trace quadratic roots |
|---|---|
| المؤلفون: | Barbero-Lucas, Beatriz, Blanco-Chacón, Iván, Durán-Díaz, Raúl, Nchiwo, Rahinatou Yuh Njah |
| سنة النشر: | 2023 |
| المجموعة: | Computer Science |
| مصطلحات موضوعية: | Computer Science - Cryptography and Security, 94A60 (Primary), 68W20, 12-04 (Secondary) |
| الوصف: | We extend two of the attacks on the PLWE problem presented in (Y. Elias, K. E. Lauter, E. Ozman, and K. E. Stange, Ring-LWE Cryptography for the Number Theorist, in Directions in Number Theory, E. E. Eischen, L. Long, R. Pries, and K. E. Stange, eds., vol. 3 of Association for Women in Mathematics Series, Cham, 2016, Springer International Publishing, pp. 271-290) to a ring $R_q=\mathbb{F}_q[x]/(f(x))$ where the irreducible monic polynomial $f(x)\in\mathbb{Z}[x]$ has an irreducible quadratic factor over $\mathbb{F}_q[x]$ of the form $x^2+\rho$ with $\rho$ of suitable multiplicative order in $\mathbb{F}_q$. Our attack exploits the fact that the trace of the root is zero and has overwhelming success probability as a function of the number of samples taken as input. An implementation in Maple and some examples of our attack are also provided. Comment: 18 pages. arXiv admin note: substantial text overlap with arXiv:2209.11962 |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2312.11533 |
| رقم الأكسشن: | edsarx.2312.11533 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |