IEICE TRANSACTIONS on Fundamentals
New Methods for Generating Short Addition Chains
Summary :
Power exponentiation is an important operation in modern cryptography. This operation can be efficiently calculated using the concept of the addition chain. In this paper, two new systematic methods, a Run-length method and a Hybrid method, are proposed to generate a short addition chain. The performance of these two methods are theoretically analyzed and it is shown that the Hybrid method is more efficient and practical than known methods. The proposed methods can reduce the addition chain length by 8%, in the best case, compared to the Window method.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E83-A No.1 pp.60-67
- Publication Date
- 2000/01/25
- Publicized
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- Type of Manuscript
- Special Section PAPER (Special Section on Cryptography and Information Security)
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Noboru KUNIHIRO, Hirosuke YAMAMOTO, "New Methods for Generating Short Addition Chains" in IEICE TRANSACTIONS on Fundamentals,
vol. E83-A, no. 1, pp. 60-67, January 2000, doi: .
Abstract: Power exponentiation is an important operation in modern cryptography. This operation can be efficiently calculated using the concept of the addition chain. In this paper, two new systematic methods, a Run-length method and a Hybrid method, are proposed to generate a short addition chain. The performance of these two methods are theoretically analyzed and it is shown that the Hybrid method is more efficient and practical than known methods. The proposed methods can reduce the addition chain length by 8%, in the best case, compared to the Window method.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e83-a_1_60/_p
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@ARTICLE{e83-a_1_60,
author={Noboru KUNIHIRO, Hirosuke YAMAMOTO, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={New Methods for Generating Short Addition Chains},
year={2000},
volume={E83-A},
number={1},
pages={60-67},
abstract={Power exponentiation is an important operation in modern cryptography. This operation can be efficiently calculated using the concept of the addition chain. In this paper, two new systematic methods, a Run-length method and a Hybrid method, are proposed to generate a short addition chain. The performance of these two methods are theoretically analyzed and it is shown that the Hybrid method is more efficient and practical than known methods. The proposed methods can reduce the addition chain length by 8%, in the best case, compared to the Window method.},
keywords={},
doi={},
ISSN={},
month={January},}
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TY - JOUR
TI - New Methods for Generating Short Addition Chains
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 60
EP - 67
AU - Noboru KUNIHIRO
AU - Hirosuke YAMAMOTO
PY - 2000
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E83-A
IS - 1
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - January 2000
AB - Power exponentiation is an important operation in modern cryptography. This operation can be efficiently calculated using the concept of the addition chain. In this paper, two new systematic methods, a Run-length method and a Hybrid method, are proposed to generate a short addition chain. The performance of these two methods are theoretically analyzed and it is shown that the Hybrid method is more efficient and practical than known methods. The proposed methods can reduce the addition chain length by 8%, in the best case, compared to the Window method.
ER -
English
