Side-Channel Vulnerabilities of Unified Point Addition on Binary Huff Curve and Its Countermeasure
Unified point addition for computing elliptic curve point addition and doubling is considered to be resistant to simple power analysis. Recently, new side-channel attacks, such as recovery of secret exponent by triangular trace analysis and horizontal collision correlation analysis, have been succes...
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| Published in | Applied Sciences Vol. 8; no. 10; p. 2002 |
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| Main Authors | , , |
| Format | Journal Article |
| Language | English Japanese |
| Published |
Basel
MDPI AG
22.10.2018
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| Subjects | |
| Online Access | Get full text |
| ISSN | 2076-3417 2076-3417 |
| DOI | 10.3390/app8102002 |
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| Abstract | Unified point addition for computing elliptic curve point addition and doubling is considered to be resistant to simple power analysis. Recently, new side-channel attacks, such as recovery of secret exponent by triangular trace analysis and horizontal collision correlation analysis, have been successfully applied to elliptic curve methods to investigate their resistance to side-channel attacks. These attacks turn out to be very powerful since they only require leakage of a single power consumption trace. In this paper, using these side-channel attack analyses, we introduce two vulnerabilities of unified point addition on the binary Huff curve. Also, we propose a new unified point addition method for the binary Huff curve. Furthermore, to secure against these vulnerabilities, we apply an equivalence class to the side-channel atomic algorithm using the proposed unified point addition method. |
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| AbstractList | Unified point addition for computing elliptic curve point addition and doubling is considered to be resistant to simple power analysis. Recently, new side-channel attacks, such as recovery of secret exponent by triangular trace analysis and horizontal collision correlation analysis, have been successfully applied to elliptic curve methods to investigate their resistance to side-channel attacks. These attacks turn out to be very powerful since they only require leakage of a single power consumption trace. In this paper, using these side-channel attack analyses, we introduce two vulnerabilities of unified point addition on the binary Huff curve. Also, we propose a new unified point addition method for the binary Huff curve. Furthermore, to secure against these vulnerabilities, we apply an equivalence class to the side-channel atomic algorithm using the proposed unified point addition method. |
| Author | HeeSeok Kim Sung Min Cho Sunghyun Jin |
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| Cites_doi | 10.1007/3-540-45664-3_24 10.1007/s12095-014-0111-8 10.1007/978-3-319-10175-0_17 10.1109/TC.2004.13 10.1007/978-3-642-14518-6_20 10.1007/11894063_2 10.1007/s13389-011-0023-x 10.1007/978-3-642-40349-1_20 10.1007/978-3-642-17650-0_5 10.1007/3-540-48405-1_25 10.1007/3-540-48059-5_25 10.1007/978-3-642-19074-2_22 10.1007/978-3-662-49890-3_10 10.1007/978-3-319-08302-5_17 10.1109/HST.2010.5513110 10.1007/3-540-45664-3_20 10.1007/978-3-642-34931-7_9 |
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| SubjectTerms | Algorithms binary Huff curve Biology (General) Chemistry Correlation analysis Digital signatures Engineering (General). Civil engineering (General) horizontal collision correlation analysis International conferences Methods Physics QC1-999 QD1-999 QH301-705.5 recovery of secret exponent by triangular trace analysis T TA1-2040 Technology unified point addition |
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| Title | Side-Channel Vulnerabilities of Unified Point Addition on Binary Huff Curve and Its Countermeasure |
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