Presentation 2001/5/10
A few considerations on factoring algorithms
Tsutomu ANSAI, Takahiro HAYATA, Kunikatsu KOBAYASHI,
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Abstract(in Japanese) (See Japanese page)
Abstract(in English) We consider a few points about factoring algorithms. First, we show a factoring algorithm using Jacobi's symbol in regard to the composite number of n=p^2q. Then, we discuss the complexity of this algorithm. Next, we propose another factoring algorithm using a floor function. This floor function gives a lot of parabolic curves over a wide range. We only use the parabolic curve with a square value for the factoring.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) factoring / quadratic congruence / Jacobi's symbol / square number / floor function
Paper # ISEC2001-3
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Committee ISEC
Conference Date 2001/5/10(1days)
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Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) A few considerations on factoring algorithms
Sub Title (in English)
Keyword(1) factoring
Keyword(2) quadratic congruence
Keyword(3) Jacobi's symbol
Keyword(4) square number
Keyword(5) floor function
1st Author's Name Tsutomu ANSAI
1st Author's Affiliation Faculty of Engineering, Yamagata University()
2nd Author's Name Takahiro HAYATA
2nd Author's Affiliation Faculty of Engineering, Yamagata University
3rd Author's Name Kunikatsu KOBAYASHI
3rd Author's Affiliation Faculty of Engineering, Yamagata University
Date 2001/5/10
Paper # ISEC2001-3
Volume (vol) vol.101
Number (no) 47
Page pp.pp.-
#Pages 6
Date of Issue