Paper Abstract and Keywords |
Presentation |
2005-11-15 11:10
On Construction of Periodic Sequence on Algebraic Curve over Finite Field Takayasu Kaida (Kinki Univ.) |
Abstract |
(in Japanese) |
(See Japanese page) |
(in English) |
In this paper, a construction method for a periodic sequence over a finite field $F'$ from rational points on a algebraic curve over an extension filed $F$ of $F'$ is given.
This proposed method uses cyclic property of rational points and trace function, and gives sequences with larger period than well-known conventional methods such as the methods with shift registers.
Moreover three examples over elliptic curves and their evaluation by the balance test are shown.
Unfortunately we show a few examples with good balance property because of small number of examples with small periods. |
Keyword |
(in Japanese) |
(See Japanese page) |
(in English) |
periodic sequence / algebraic curve / rational point / pseudo-random sequence / randomness / balance test / / |
Reference Info. |
IEICE Tech. Rep., vol. 105, no. 395, ISEC2005-102, pp. 25-28, Nov. 2005. |
Paper # |
ISEC2005-102 |
Date of Issue |
2005-11-07 (ISEC, OIS) |
ISSN |
Print edition: ISSN 0913-5685 |
Download PDF |
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Conference Information |
Committee |
ISEC LOIS |
Conference Date |
2005-11-14 - 2005-11-15 |
Place (in Japanese) |
(See Japanese page) |
Place (in English) |
Kitakyushu Science and Research Park |
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(See Japanese page) |
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Paper Information |
Registration To |
ISEC |
Conference Code |
2005-11-ISEC-OIS |
Language |
Japanese |
Title (in Japanese) |
(See Japanese page) |
Sub Title (in Japanese) |
(See Japanese page) |
Title (in English) |
On Construction of Periodic Sequence on Algebraic Curve over Finite Field |
Sub Title (in English) |
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Keyword(1) |
periodic sequence |
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algebraic curve |
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rational point |
Keyword(4) |
pseudo-random sequence |
Keyword(5) |
randomness |
Keyword(6) |
balance test |
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1st Author's Name |
Takayasu Kaida |
1st Author's Affiliation |
Kinki University (Kinki Univ.) |
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Speaker |
Author-1 |
Date Time |
2005-11-15 11:10:00 |
Presentation Time |
25 minutes |
Registration for |
ISEC |
Paper # |
ISEC2005-102, OIS2005-65 |
Volume (vol) |
vol.105 |
Number (no) |
no.395(ISEC), no.397(OIS) |
Page |
pp.25-28 |
#Pages |
4 |
Date of Issue |
2005-11-07 (ISEC, OIS) |