### Abstract

Curve25519 has been used in various security protocols for its efficiency and rapidity. However, Curve25519 is known to have rational points whose orders are 2, 4, and 8. In this research, the authors focus on rational points of order 4 and demonstrate a side-channel attack (SCA) against a scalar multiplication algorithm for Curve25519. It purposes to compare two scalar multiplication algorithms in terms of the difficulty of estimating a secret key via the SCA, where the algorithms are differentiated whether it uses a conditional swap function or not. Furthermore, we examine to attack an open-source library for Arduino UNO which includes the scalar multiplication algorithm using a conditional swap function in practice. Since this library takes a countermeasure against the SCA during key exchange, we can use this secure library as a protocol tool. However, there is a threat when we implement a scalar multiplication by using some functions in this library without considering the SCA.

Original language | English |
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Title of host publication | Proceedings - 2019 7th International Symposium on Computing and Networking, CANDAR 2019 |

Publisher | Institute of Electrical and Electronics Engineers Inc. |

Pages | 245-250 |

Number of pages | 6 |

ISBN (Electronic) | 9781728147253 |

DOIs | |

Publication status | Published - Nov 2019 |

Event | 7th International Symposium on Computing and Networking, CANDAR 2019 - Nagasaki, Japan Duration: Nov 26 2019 → Nov 29 2019 |

### Publication series

Name | Proceedings - 2019 7th International Symposium on Computing and Networking, CANDAR 2019 |
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### Conference

Conference | 7th International Symposium on Computing and Networking, CANDAR 2019 |
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Country | Japan |

City | Nagasaki |

Period | 11/26/19 → 11/29/19 |

### Fingerprint

### Keywords

- Arduino Cryptography Library
- Curve25519
- order 4 rational point

### ASJC Scopus subject areas

- Computer Science Applications
- Computer Networks and Communications
- Hardware and Architecture
- Signal Processing

### Cite this

*Proceedings - 2019 7th International Symposium on Computing and Networking, CANDAR 2019*(pp. 245-250). [8958472] (Proceedings - 2019 7th International Symposium on Computing and Networking, CANDAR 2019). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CANDAR.2019.00040