Improved Gadgets for the High-Order Masking of Dilithium

J. Coron, François Gérard, Matthias Trannoy, R. Zeitoun
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引用次数: 1

Abstract

We present novel and improved high-order masking gadgets for Dilithium, a post-quantum signature scheme that has been standardized by the National Institute of Standards and Technologies (NIST). Our proposed gadgets include the ShiftMod gadget, which is used for efficient arithmetic shifts and serves as a component in other masking gadgets. Additionally, we propose a new algorithm for Boolean-to-arithmetic masking conversion of a μ-bit integer x modulo any integer q, with a complexity that is independent of both μ and q. This algorithm is used in Dilithium to mask the generation of the random variable y modulo q. Moreover, we describe improved techniques for masking the Decompose function in Dilithium. Our new gadgets are proven to be secure in the t-probing model.We demonstrate the effectiveness of our countermeasures by presenting a complete high-order masked implementation of Dilithium that utilizes the improved gadgets described above. We provide practical results obtained from a C implementation and compare the performance improvements provided by our new gadgets with those of previous work.
改进的高阶二锂掩蔽装置
我们提出了一种新的和改进的高阶掩盖装置,用于镝,这是一种由国家标准与技术研究所(NIST)标准化的后量子签名方案。我们提出的小工具包括ShiftMod小工具,它用于有效的算术移位,并作为其他遮罩小工具的组件。此外,我们提出了一个μ位整数x模任意整数q的布尔到算术掩蔽转换的新算法,该算法的复杂度与μ和q无关。该算法用于掩盖随机变量y模q的生成。此外,我们描述了在Dilithium中掩盖分解函数的改进技术。我们的新装置被证明在t探测模型中是安全的。我们展示了我们的对策的有效性,提出了一个完整的高阶掩盖实现的二锂,利用上述改进的小工具。我们提供了从C实现中获得的实际结果,并将我们的新工具提供的性能改进与以前的工作进行了比较。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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