Problem
Research questions and friction points this paper is trying to address.
LCPs
LCD codes
twisted Reed-Solomon codes
side-channel attacks
fault-injection attacks
Constructions of LCPs and LCD codes from twisted Reed-Solomon codes
🤖 AI Summary
研究通过扭曲Reed-Solomon码构建线性互补对(LCPs)及线性互补对偶(LCD)码，以提供对抗侧信道和故障注入攻击的有效对策。
📝 Abstract
Linear complementary pairs (LCPs) and linear complementary dual (LCD) codes have important applications in orthogonal direct-sum masking (ODSM), which provides effective countermeasures against side-channel attacks and fault-injection attacks. While LCD codes have been extensively investigated, comparatively fewer results are available for general LCPs. In this paper, we further investigate LCPs of twisted Reed--Solomon (TRS) codes. We derive necessary conditions for two TRS codes to form an LCP and establish several sufficient conditions and explicit constructions. We also study LCD codes constructed from TRS codes and investigate the security parameters of the resulting LCPs. Furthermore, under suitable conditions, we obtain MDS LCPs of TRS codes.
Innovation
Methods, ideas, or system contributions that make the work stand out.
Linear Complementary Pairs
Twisted Reed-Solomon Codes
MDS LCPs
Orthogonal Direct-Sum Masking
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2024-07-10Citations: 0
