IEICE TRANSACTIONS on Fundamentals
Generalized Scalar Multiplication Secure against SPA, DPA, and RPA
Summary :
In the execution on a smart card, elliptic curve cryptosystems have to be secure against side channel attacks such as the simple power analysis (SPA), the differential power analysis (DPA), and the refined power analysis (RPA), and so on. MMM-algorithm proposed by Mamiya, Miyaji, and Morimoto is a scalar multiplication algorithm secure against SPA, DPA, and RPA, which can decrease the computational complexity by increasing the size of a pre-computed table. However, it provides only 4 different cases of pre-computed tables. From the practical point of view, a wider range of time-memory tradeoffs is usually desired. This paper generalizes MMM-algorithm to improve the flexibility of tables as well as the computational complexity. Our improved algorithm is secure, efficient and flexible for the storage size.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E91-A No.10 pp.2833-2842
- Publication Date
- 2008/10/01
- Publicized
- Online ISSN
- 1745-1337
- DOI
- 10.1093/ietfec/e91-a.10.2833
- Type of Manuscript
- Special Section PAPER (Special Section on Information Theory and Its Applications)
- Category
- Cryptography and Information Security
Authors
Keyword
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Atsuko MIYAJI, "Generalized Scalar Multiplication Secure against SPA, DPA, and RPA" in IEICE TRANSACTIONS on Fundamentals,
vol. E91-A, no. 10, pp. 2833-2842, October 2008, doi: 10.1093/ietfec/e91-a.10.2833.
Abstract: In the execution on a smart card, elliptic curve cryptosystems have to be secure against side channel attacks such as the simple power analysis (SPA), the differential power analysis (DPA), and the refined power analysis (RPA), and so on. MMM-algorithm proposed by Mamiya, Miyaji, and Morimoto is a scalar multiplication algorithm secure against SPA, DPA, and RPA, which can decrease the computational complexity by increasing the size of a pre-computed table. However, it provides only 4 different cases of pre-computed tables. From the practical point of view, a wider range of time-memory tradeoffs is usually desired. This paper generalizes MMM-algorithm to improve the flexibility of tables as well as the computational complexity. Our improved algorithm is secure, efficient and flexible for the storage size.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1093/ietfec/e91-a.10.2833/_p
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@ARTICLE{e91-a_10_2833,
author={Atsuko MIYAJI, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Generalized Scalar Multiplication Secure against SPA, DPA, and RPA},
year={2008},
volume={E91-A},
number={10},
pages={2833-2842},
abstract={In the execution on a smart card, elliptic curve cryptosystems have to be secure against side channel attacks such as the simple power analysis (SPA), the differential power analysis (DPA), and the refined power analysis (RPA), and so on. MMM-algorithm proposed by Mamiya, Miyaji, and Morimoto is a scalar multiplication algorithm secure against SPA, DPA, and RPA, which can decrease the computational complexity by increasing the size of a pre-computed table. However, it provides only 4 different cases of pre-computed tables. From the practical point of view, a wider range of time-memory tradeoffs is usually desired. This paper generalizes MMM-algorithm to improve the flexibility of tables as well as the computational complexity. Our improved algorithm is secure, efficient and flexible for the storage size.},
keywords={},
doi={10.1093/ietfec/e91-a.10.2833},
ISSN={1745-1337},
month={October},}
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TY - JOUR
TI - Generalized Scalar Multiplication Secure against SPA, DPA, and RPA
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 2833
EP - 2842
AU - Atsuko MIYAJI
PY - 2008
DO - 10.1093/ietfec/e91-a.10.2833
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E91-A
IS - 10
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - October 2008
AB - In the execution on a smart card, elliptic curve cryptosystems have to be secure against side channel attacks such as the simple power analysis (SPA), the differential power analysis (DPA), and the refined power analysis (RPA), and so on. MMM-algorithm proposed by Mamiya, Miyaji, and Morimoto is a scalar multiplication algorithm secure against SPA, DPA, and RPA, which can decrease the computational complexity by increasing the size of a pre-computed table. However, it provides only 4 different cases of pre-computed tables. From the practical point of view, a wider range of time-memory tradeoffs is usually desired. This paper generalizes MMM-algorithm to improve the flexibility of tables as well as the computational complexity. Our improved algorithm is secure, efficient and flexible for the storage size.
ER -
English
