IEICE TRANSACTIONS on Fundamentals
Finding a Basis Conversion Matrix via Prime Gauss Period Normal Basis
Summary :
This paper proposes a method to construct a basis conversion matrix between two given bases in Fpm. In the proposed method, Gauss period normal basis (GNB) works as a bridge between the two bases. The proposed method exploits this property and construct a basis conversion matrix mostly faster than EDF-based algorithm on average in polynomial time. Finally, simulation results are reported in which the proposed method compute a basis conversion matrix within 30 msec on average with Celeron (2.00 GHz) when mlog p≈160.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E92-A No.6 pp.1500-1507
- Publication Date
- 2009/06/01
- Publicized
- Online ISSN
- 1745-1337
- DOI
- 10.1587/transfun.E92.A.1500
- Type of Manuscript
- PAPER
- Category
- Information Theory
Authors
Keyword
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Yasuyuki NOGAMI, Ryo NAMBA, Yoshitaka MORIKAWA, "Finding a Basis Conversion Matrix via Prime Gauss Period Normal Basis" in IEICE TRANSACTIONS on Fundamentals,
vol. E92-A, no. 6, pp. 1500-1507, June 2009, doi: 10.1587/transfun.E92.A.1500.
Abstract: This paper proposes a method to construct a basis conversion matrix between two given bases in Fpm. In the proposed method, Gauss period normal basis (GNB) works as a bridge between the two bases. The proposed method exploits this property and construct a basis conversion matrix mostly faster than EDF-based algorithm on average in polynomial time. Finally, simulation results are reported in which the proposed method compute a basis conversion matrix within 30 msec on average with Celeron (2.00 GHz) when mlog p≈160.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E92.A.1500/_p
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@ARTICLE{e92-a_6_1500,
author={Yasuyuki NOGAMI, Ryo NAMBA, Yoshitaka MORIKAWA, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Finding a Basis Conversion Matrix via Prime Gauss Period Normal Basis},
year={2009},
volume={E92-A},
number={6},
pages={1500-1507},
abstract={This paper proposes a method to construct a basis conversion matrix between two given bases in Fpm. In the proposed method, Gauss period normal basis (GNB) works as a bridge between the two bases. The proposed method exploits this property and construct a basis conversion matrix mostly faster than EDF-based algorithm on average in polynomial time. Finally, simulation results are reported in which the proposed method compute a basis conversion matrix within 30 msec on average with Celeron (2.00 GHz) when mlog p≈160.},
keywords={},
doi={10.1587/transfun.E92.A.1500},
ISSN={1745-1337},
month={June},}
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TY - JOUR
TI - Finding a Basis Conversion Matrix via Prime Gauss Period Normal Basis
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1500
EP - 1507
AU - Yasuyuki NOGAMI
AU - Ryo NAMBA
AU - Yoshitaka MORIKAWA
PY - 2009
DO - 10.1587/transfun.E92.A.1500
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E92-A
IS - 6
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - June 2009
AB - This paper proposes a method to construct a basis conversion matrix between two given bases in Fpm. In the proposed method, Gauss period normal basis (GNB) works as a bridge between the two bases. The proposed method exploits this property and construct a basis conversion matrix mostly faster than EDF-based algorithm on average in polynomial time. Finally, simulation results are reported in which the proposed method compute a basis conversion matrix within 30 msec on average with Celeron (2.00 GHz) when mlog p≈160.
ER -
English
