Efficient Arithmetic in Optimal Extension Fields Using Simultaneous Multiplication
Summary :
A new algorithm for efficient arithmetic in an optimal extension field is proposed. The new algorithm improves the speeds of multiplication, squaring, and inversion by performing two subfield multiplications simultaneously within a single integer multiplication instruction of a CPU. Our algorithm is used to improve throughputs of elliptic curve operations.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E86-A No.5 pp.1316-1321
- Publication Date
- 2003/05/01
- Publicized
- Online ISSN
- DOI
- Type of Manuscript
- LETTER
- Category
- Information Security
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Mun-Kyu LEE, Kunsoo PARK, "Efficient Arithmetic in Optimal Extension Fields Using Simultaneous Multiplication" in IEICE TRANSACTIONS on Fundamentals,
vol. E86-A, no. 5, pp. 1316-1321, May 2003, doi: .
Abstract: A new algorithm for efficient arithmetic in an optimal extension field is proposed. The new algorithm improves the speeds of multiplication, squaring, and inversion by performing two subfield multiplications simultaneously within a single integer multiplication instruction of a CPU. Our algorithm is used to improve throughputs of elliptic curve operations.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e86-a_5_1316/_p
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@ARTICLE{e86-a_5_1316,
author={Mun-Kyu LEE, Kunsoo PARK, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Efficient Arithmetic in Optimal Extension Fields Using Simultaneous Multiplication},
year={2003},
volume={E86-A},
number={5},
pages={1316-1321},
abstract={A new algorithm for efficient arithmetic in an optimal extension field is proposed. The new algorithm improves the speeds of multiplication, squaring, and inversion by performing two subfield multiplications simultaneously within a single integer multiplication instruction of a CPU. Our algorithm is used to improve throughputs of elliptic curve operations.},
keywords={},
doi={},
ISSN={},
month={May},}
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TY - JOUR
TI - Efficient Arithmetic in Optimal Extension Fields Using Simultaneous Multiplication
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1316
EP - 1321
AU - Mun-Kyu LEE
AU - Kunsoo PARK
PY - 2003
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E86-A
IS - 5
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - May 2003
AB - A new algorithm for efficient arithmetic in an optimal extension field is proposed. The new algorithm improves the speeds of multiplication, squaring, and inversion by performing two subfield multiplications simultaneously within a single integer multiplication instruction of a CPU. Our algorithm is used to improve throughputs of elliptic curve operations.
ER -
English
