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Ievgen Kabin

Publications and source records attributed to Ievgen Kabin.

25 records · Page 2Linked to original sources
arXiv2022

Flexible FPGA ECDSA Design with a Field Multiplier Inherently Resistant against HCCA

In this paper we describe our flexible ECDSA design for elliptic curve over binary extended fields GF(2l). We investigated its resistance against Horizontal Collision Correlation Attacks (HCCA). Due to the fact that our design is based on the Montgomery kP algorithm using Lopez-Dahab projective coordinates the scalar k cannot be successful revealed using HCCA, but this kind of attacks can be helpful to divide the measured traces into parts that correspond to processing of a single bit of the scalar k. The most important contribution of this paper is that our flexible field multiplier is resistant against horizontal attacks. This inherent resistance makes it a valuable building block for designing unified field multipliers.

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arXiv2022

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 signature verification), we achieved 98.3% accuracy for the implementation with countermeasures.

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arXiv2022

Clustering versus Statistical Analysis for SCA: when Machine Learning is Better

Evaluation of the resistance of implemented cryptographic algorithms against SCA attacks, as well as detecting of SCA leakage sources at an early stage of the design process, is important for an efficient re-design of the implementation. Thus, effective SCA methods that do not depend on the key processed in the cryptographic operations are beneficially and can be a part of the efficient design methodology for implementing cryptographic approaches. In this work we compare two different methods that are used to analyse power traces of elliptic curve point multiplications. The first method the comparison to the mean is a simple method based on statistical analysis. The second one is K-means - the mostly used unsupervised machine learning algorithm for data clustering. The results of our early work showed that the machine learning algorithm was not superior to the simple approach. In this work we concentrate on the comparison of the attack results using both analysis methods with the goal to understand their benefits and drawbacks. Our results show that the comparison to the mean works properly only if the scalar processed during the attacked kP execution is balanced, i.e. if the number of '1' in the scalar k is about as high as the number of '0'. In contrast to this, K-means is effective also if the scalar is highly unbalanced. It is still effective even if the scalar k contains only a very small number of '0' bits.

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arXiv2022

Breaking a fully Balanced ASIC Coprocessor Implementing Complete Addition Formulas on Weierstrass Elliptic Curves

In this paper we report on the results of selected horizontal SCA attacks against two open-source designs that implement hardware accelerators for elliptic curve cryptography. Both designs use the complete addition formula to make the point addition and point doubling operations indistinguishable. One of the designs uses in addition means to randomize the operation sequence as a countermeasure. We used the comparison to the mean and an automated SPA to attack both designs. Despite all these countermeasures, we were able to extract the keys processed with a correctness of 100%.

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arXiv2022

On the Influence of the FPGA Compiler Optimization Options on the Success of the Horizontal Attack

This paper reports about the impact of compiler options on the resistance of cryptographic implementations against side channel analysis attacks. We evaluated four compiler option for six different FPGAs from Intel and Xilinx. In order to ensure fair assessment we synthesized always the same VHDL code, kept the measurement setup and statistical analysis method etc. constant. Our analysis clearly shows that the compiler options have an impact on the success of attacks but also that the impact is unpredictable not only between different FPGAs but also for an individual FPGA.

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arXiv2021

EC P-256: Successful Simple Power Analysis

In this work we discuss the resistance of atomic pattern algorithms for elliptic curve point multiplication against simple side channel analysis attacks using our own implementation as an example. The idea of the atomicity principle is to make kP implementations resistant against simple side channel analysis attacks. One of the assumptions, on which the atomicity principle is based, is the indistinguishability of register operations, i.e. two write-to-register operations cannot be distinguished if their old and new data values are the same. But before the data can be stored to a register/block, this register/block has to be addressed for storing the data. Different registers/blocks have different addresses. In praxis, this different and key dependent addressing can be used to reveal the key, even by running simple SCA attacks. The key dependent addressing of registers/blocks allows to reveal the key and is an inherent feature of the binary kP algorithms. This means that the assumption, that addressing of different registers/blocks is an indistinguishable operation, may no longer be applied when realizing kP implementations, at least not for hardware implementations.

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