Unified Field Multiplier for ECC: Inherent Resistance against Horizontal SCA Attacks

Horizontal DPA Attacks against ECC: Impact of Implemented Field Multiplication Formula

Due to the nature of applications such as critical infrastructure and the Internet of Things etc. side channel analysis attacks are becoming a serious threat. Side channel analysis attacks take advantage from the fact that the behavior of crypto implementations can be observed and provides hints that simplify revealing keys. A new type of SCA are the so called horizontal SCAs. Well known randomization based countermeasures are effective means against vertical DPA attacks but they are not effective against horizontal DPA attacks. In this paper we investigate how the formula used to implement th…

Horizontal Attacks against ECC: from Simulations to ASIC

In this paper we analyse the impact of different compile options on the success rate of side-channel analysis attacks. We run horizontal differential side-channel attacks against simulated power traces for the same $kP$ design synthesized using two different compile options after synthesis and after layout. As we are interested in the effect on the produced ASIC we also run the same attack against measured power traces after manufacturing the ASIC. We found that the compile_ultra option reduces the success rate significantly from 5 key candidates with a correctness of between 75 and 90 per cen…

Methods for Increasing the Resistance of Cryptographic Designs against Horizontal DPA Attacks

Side-channel analysis attacks, especially horizontal DPA and DEMA attacks, are significant threats for cryptographic designs. In this paper we investigate to which extend different multiplication formulae and randomization of the field multiplier increase the resistance of an ECC design against horizontal attacks. We implemented a randomized sequence of the calculation of partial products for the field multiplication in order to increase the security features of the field multiplier. Additionally, we use the partial polynomial multiplier itself as a kind of countermeasure against DPA attacks. …

Horizontal SCA Attacks against kP Algorithm Using K-Means and PCA

Side Channel Analysis attacks take advantage of the information leaked from the implementations of cryptographic algorithms. In this paper we describe two key revealing methods which are based on machine learning algorithms: K-means and PCA. We performed the attacks against ECDSA implementations without any prior knowledge about the key and achieved 100% accuracy for an implementation without any countermeasures against horizontal attacks and 88.7% accuracy for an implementation with bus address sequencing. In the scenario where the kP operation inputs are controlled by the attacker (as during…

将Longa的原子模式作为实现椭圆曲线标量乘法算法基础时的可区分性研究

Distinguishability Investigation on Longa's Atomic Patterns when used as a Basis for Implementing Elliptic Curve Scalar Multiplication Algorithms

本文首次在微控制器上实际实现了Longa的原子模式，评估其抵御水平侧信道分析的能力，并识别与纠正了原始模式中的差异，将理论研究扩展至实证分析。

水平SCA攻击：针对二进制kP算法的Chevallier-Mames原子块

Horizontal SCA Attacks on Binary kP Algorithms using Chevallier-Mames Atomic Blocks

研究指出，即使使用Chevallier-Mames原子块模式，二进制右到左和左到右kP算法仍易受单迹侧信道攻击，且左到右算法在项目坐标随机化下仍存在漏洞。