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Error Detection Architectures for Ring Polynomial Multiplication and Modular Reduction of Ring-LWE in $\boldsymbol{\frac{\mathbb{Z}/p\mathbb{Z}[x]}{x^{n}+1}}$ Benchmarked on ASIC
IEEE Transactions on Reliability ( IF 5.9 ) Pub Date : 2020-05-20 , DOI: 10.1109/tr.2020.2991671
Ausmita Sarker , Mehran Mozaffari Kermani , Reza Azarderakhsh

Ring learning with error (ring-LWE) within lattice-based cryptography is a promising cryptographic scheme for the post-quantum era. In this article, we explore efficient error detection approaches for implementing ring-LWE encryption. For achieving accurate operation of the ring-LWE problem and thwarting active side-channel attacks, error detection schemes need to be devised so that the induced overhead is not a burden to deeply embedded and constrained applications. This article, for the first time, investigates error detection schemes for both stages of the ring-LWE encryption operation, i.e., ring polynomial multiplication and modular reduction. Our schemes exploit recomputing with encoded operands, which successfully counter both natural faults (for the stuck-at model). We implement our schemes on an application-specific integrated circuit. As performance metrics show hardware overhead, our schemes prove to be low complexity with high error coverage. The proposed efficient architectures can be tailored and utilized for post-quantum cryptographic schemes in different usage models with diverse constraints.

中文翻译:

环LWE环多项式乘法和模态归约的错误检测架构。 $ \ boldsymbol {\ frac {\ mathbb {Z} / p \ mathbb {Z} [x]} {x ^ {n} +1}} $ 以ASIC为基准

基于格的密码学中的带错误的环学习(ring-LWE)是后量子时代的一种有前途的密码方案。在本文中,我们探索了用于实现Ring-LWE加密的有效错误检测方法。为了实现Ring-LWE问题的准确运行并阻止主动的边信道攻击,需要设计错误检测方案,以使引起的开销不会成为深度嵌入和受约束的应用程序的负担。本文首次研究了Ring-LWE加密操作的两个阶段的错误检测方案,即,多项式乘法和模块化归约。我们的方案利用编码操作数进行重新计算,从而成功地克服了两个自然故障(对于固定模型)。我们在专用集成电路上实现我们的方案。由于性能指标显示了硬件开销,因此我们的方案被证明具有较低的复杂度和较高的错误覆盖率。可以针对具有不同约束的不同使用模型中的后量子密码方案量身定制并使用所提出的有效架构。
更新日期:2020-05-20
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