| Presentation | 2024-03-22 Fast and Secure Scalar Multiplication for the GLS254 Binary Elliptic Curve Ryosuke Kido, Atsuko Miyaji, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | Elliptic curve cryptosystems (ECCs) are cryptographic schemes based on the discrete logarithm problem on an elliptic curve. ECCs are that it can achieve the necessary security with a short key size compared to other cryptographic schemes. Therefore, it is expected to be used in IoT devices that cannot use large memory, but more compact and efficient cryptography is needed to further improve performance. Scalar multiplication, the main operation in ECCs, must be made more efficient while providing side-channel attack (SCA) resistance. Elliptic curve GLS254 defined on a finite field of characteristic 2 has an endomorphism that can be efficiently computed, contributing to efficient scalar multiplication. A secure scalar multiplication using $(x,s)$ coordinates which can define an addition formula with no exception points has been proposed for GLS254. In this study, we propose a secure and faster method for GLS254 by focusing on the addition formulae and its coordinate system. The result is a method that is faster than the existing scalar multiplication algorithm by $7.1%$. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | elliptic curve / scalar multiplication / side-channel attack |
| Paper # | ICSS2023-94 |
| Date of Issue | 2024-03-14 (ICSS) |
| Conference Information | |
| Committee | ICSS / IPSJ-SPT |
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| Conference Date | 2024/3/21(2days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | OIST |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | Security, Trust, etc. |
| Chair | Daisuke Inoue(NICT) |
| Vice Chair | Akira Yamada(Kobe Univ.) / Toshihiro Yamauchi(Okayama Univ.) |
| Secretary | Akira Yamada(Mitsubishi Electric) / Toshihiro Yamauchi(Univ. of Electro-Comm.) |
| Assistant | Yo Kanemoto(NTT) / Masaya Sato(Okayama Prefectural Univ.) |
| Paper Information | |
| Registration To | Technical Committee on Information and Communication System Security / Special Interest Group on Security Psychology and Trust |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Fast and Secure Scalar Multiplication for the GLS254 Binary Elliptic Curve |
| Sub Title (in English) | |
| Keyword(1) | elliptic curve |
| Keyword(2) | scalar multiplication |
| Keyword(3) | side-channel attack |
| 1st Author's Name | Ryosuke Kido |
| 1st Author's Affiliation | Osaka University(OU) |
| 2nd Author's Name | Atsuko Miyaji |
| 2nd Author's Affiliation | Osaka University(OU) |
| Date | 2024-03-22 |
| Paper # | ICSS2023-94 |
| Volume (vol) | vol.123 |
| Number (no) | ICSS-448 |
| Page | pp.pp.180-187(ICSS), |
| #Pages | 8 |
| Date of Issue | 2024-03-14 (ICSS) |