التفاصيل البيبلوغرافية
| العنوان: |
Asymmetric Cryptosystem on Matrix Algebra over a Chain Ring |
| المؤلفون: |
Muzna Yumman, Tariq Shah, Iqtadar Hussain |
| المصدر: |
Symmetry; Volume 13; Issue 1; Pages: 45 |
| بيانات النشر: |
Multidisciplinary Digital Publishing Institute |
| سنة النشر: |
2020 |
| المجموعة: |
MDPI Open Access Publishing |
| مصطلحات موضوعية: |
asymmetric cryptosystems, chain ring, general linear group |
| الوصف: |
The revolutionary idea of asymmetric cryptography brings a fundamental change to our modern communication system. However, advances in quantum computers endanger the security of many asymmetric cryptosystems based on the hardness of factoring and discrete logarithm, while the complexity of the quantum algorithm makes it hard to implement in many applications. In this respect, novel asymmetric cryptosystems based on matrices over residue rings are in practice. In this article, a novel approach is introduced. Despite the matrix algebra M(k,ℤn), the matrix algebra M(k,Rn′),Rn′=ℤ2[w]〈wn−1〉 as the chain ring is considered. In this technique, instead of exponentiation, the inner product automorphisms the use for key generation. The chain ring provides computational complexity to its algorithm, which improves the strength of the cryptosystem. However, the residue ring endangers the security of the original cryptosystem, while it is hard to break using Rn′. The structure of the chain ring deals with the binary field ℤ2, which simplifies its calculation and makes it capable of efficient execution in various applications. |
| نوع الوثيقة: |
text |
| وصف الملف: |
application/pdf |
| اللغة: |
English |
| Relation: |
https://dx.doi.org/10.3390/sym13010045 |
| DOI: |
10.3390/sym13010045 |
| الاتاحة: |
https://doi.org/10.3390/sym13010045 |
| Rights: |
https://creativecommons.org/licenses/by/4.0/ |
| رقم الانضمام: |
edsbas.58D7E151 |
| قاعدة البيانات: |
BASE |