• Title/Summary/Keyword: Exponent Blinding

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Power Attack against an Exponent Blinding Method (Exponent Blinding 기법에 대한 전력 공격)

  • Kim Hyung-Sup;Baek Yoo-Jin;Kim Seung-Joo;Won Dong-Ho
    • Proceedings of the Korea Institutes of Information Security and Cryptology Conference
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    • 2006.06a
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    • pp.164-168
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    • 2006
  • 전력 공격은 암호화 연산 과정 중 발생하는 소비 전력의 파형을 측정하여 비밀 정보를 알아내는 공격 방식이다. 이러한 전력 공격에 대한 취약성을 막기 위하여 message blinding, exponent blinding과 같은 기법들이 적용되어 왔다. 본 고에서는 $ECC^{[1]}$암호화 연산 과정에서, r이 임의의 정수일 때, dP=(d-r)P+rP인 관계를 이용하는 exponent blinding기법$^{[2]}$에 대하여 언급하고, 위 기법을 전력 공격의 대응책으로 적용 시 적절히 구현되지 않으면 power attack에 대하여 매우 취약하다는 것을 보인다.

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Study for improving attack Complexity against RSA Collision Analysis (RSA 충돌 분석 공격 복잡도 향상을 위한 연구)

  • Sim, Bo-Youn;Won, Yoo-Seung;Han, Dong-Guk
    • Journal of the Korea Institute of Information Security & Cryptology
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    • v.25 no.2
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    • pp.261-270
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    • 2015
  • In information security devices, such as Smart Cards, vulnerabilities of the RSA algorithm which is used to protect the data were found in the Side Channel Analysis. The RSA is especially vulnerable to Power Analysis which uses power consumption when the algorithm is working. Typically Power Analysis is divided into SPA(Simple Power Analysis) and DPA(Differential Power Analysis). On top of this, there is a CA(Collision Analysis) which is a very powerful attack. CA makes it possible to attack using a single waveform, even if the algorithm is designed to secure against SPA and DPA. So Message blinding, which applies the window method, was considered as a countermeasure. But, this method does not provide sufficient safety when the window size is small. Therefore, in this paper, we propose a new countermeasure that provides higher safety against CA. Our countermeasure is a combination of message and exponent blinding which is applied to the window method. In addition, through experiments, we have shown that our countermeasure provides approximately 124% higher attack complexity when the window size is small. Thus it can provide higher safety against CA.

Security Evaluation Against Collision-based Power Analysis on RSA Algorithm Adopted Exponent Splitting Method (지수 분할 기법이 적용된 RSA 알고리듬에 대한 충돌 전력 분석 공격 안전성 평가)

  • Ha, Jaecheol
    • Journal of the Korea Institute of Information Security & Cryptology
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    • v.25 no.5
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    • pp.985-991
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    • 2015
  • The user's secret key can be retrieved by various side channel leakage informations occurred during the execution of cryptographic RSA exponentiation algorithm which is embedded on a security device. The collision-based power analysis attack known as a serious side channel threat can be accomplished by finding some collision pairs on a RSA power consumption trace. Recently, an RSA exponentiation algorithm was proposed as a countermeasure which is based on the window method adopted combination of message blinding and exponent splitting. In this paper, we show that this countermeasure provides approximately $2^{53}$ attack complexity, much lower than $2^{98}$ insisted in the original article, when the window size is two.