دسته بندی:
محاسبات کوانتومی - Quantum-Computing
سال انتشار:
2022
عنوان انگلیسی مقاله:
Quantum Cryptanalysis on a Multivariate Cryptosystem Based on Clipped Hopfield Neural Network
ترجمه فارسی عنوان مقاله:
رمزگذاری کوانتومی بر روی یک سیستم رمزنگاری چند متغیره بر اساس شبکه عصبی هاپفیلد بریده شده
منبع:
ieee - ieee Transactions on Neural Networks and Learning Systems;2022;33;9;10:1109/TNNLS:2021:3059434
نویسنده:
Songsong Dai
چکیده انگلیسی:
Shor’s quantum algorithm and other efficient quantum
algorithms can break many public-key cryptographic schemes in polynomial time on a quantum computer. In response, researchers proposed
postquantum cryptography to resist quantum computers. The multivariate cryptosystem (MVC) is one of a few options of postquantum
cryptography. It is based on the NP-hardness of the computational
problem to solve nonlinear equations over a finite field. Recently,
Wang et al. (2018) proposed a MVC based on extended clipped hopfield
neural networks (eCHNN). Its main security assumption is backed by the
discrete logarithm (DL) problem over Matrics. In this brief, we present
quantum cryptanalysis of Wang et al.’s eCHNN-based MVC. We first
show that Shor’s quantum algorithm can be modified to solve the DL
problem over Matrics. Then we show that Wang et al.’s construction
of eCHNN-based MVC is not secure against quantum computers; this
against the original intention of that multivariate cryptography is one of
a few options of postquantum cryptography.
keywords: Clipped Hopfiled neural network | Diffie-Hellman key exchange scheme | discrete logarithm (DL) problem | multivariate cryptography | quantum algorithm.
قیمت: رایگان
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