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Cyclic Vector Multiplication Algorithm Based on a Special Class of Gauss Period Normal Basis
Hidehiro Kato,Yasuyuki Nogami,Tomoki Yoshida,Yoshitaka Morikawa 한국전자통신연구원 2007 ETRI Journal Vol.29 No.6
This paper proposes a multiplication algorithm for Fpm, which can be efficiently applied to many pairs of characteristic p and extension degree m except for the case that 8p divides m(p–1). It uses a special class of type-〈k, m〉 Gauss period normal bases. This algorithm has several advantages: it is easily parallelized; Frobenius mapping is easily carried out since its basis is a normal basis; its calculation cost is clearly given; and it is sufficiently practical and useful when parameters k and m are small.
Fast Squaring in TypeI All One Polynomial Field
Hidehiro Kato,Yasuyuki Nogami,Yoshitaka Morikawa 대한전자공학회 2008 ITC-CSCC :International Technical Conference on Ci Vol.2008 No.7
In this paper, the authors propose a fast squaring on all one polynomial field and show some simulation results with characteristic p = 256-bit prime and extension degree k ∈ {2, 4, 6, 10, 12} implemented on a PentiumIV (2.6㎓) using the C programming language. The computer simulations showed that, on average, the proposed algorithm accelerated about 30% in Fp² , 12% in Fp⁴ and 6% in Fp? compared to the conventional squaring.
AKARI INFRARED CAMERA SURVEY OF THE LARGE MAGELLANIC CLOUD. I. POINT-SOURCE CATALOG
Kato, Daisuke,Ita, Yoshifusa,Onaka, Takashi,Tanabé,, Toshihiko,Shimonishi, Takashi,Sakon, Itsuki,Kaneda, Hidehiro,Kawamura, Akiko,Wada, Takehiko,Usui, Fumihiko,Koo, Bon-Chul,Matsuura, Mikako,Tak American Institute of Physics 2012 The Astronomical journal Vol.144 No.6
<P>We present a near- to mid-infrared point-source catalog of five photometric bands at 3.2, 7, 11, 15, and 24 μm for a 10 deg<SUP>2</SUP> area of the Large Magellanic Cloud (LMC) obtained with the Infrared Camera on board the AKARI satellite. To cover the survey area the observations were carried out at three separate seasons from 2006 May to June, 2006 October to December, and 2007 March to July. The 10σ limiting magnitudes of the present survey are 17.9, 13.8, 12.4, 9.9, and 8.6 mag at 3.2, 7, 11, 15, and 24 μm, respectively. The photometric accuracy is estimated to be about 0.1 mag at 3.2 μm and 0.06-0.07 mag in the other bands. The position accuracy is 0<img entity='farcs' SRC='http://ej.iop.org/icons/Entities/farcs.gif' ALT='farcs' ALIGN='BOTTOM' />3 at 3.2, 7, and 11 μm and 1<img entity='farcs' SRC='http://ej.iop.org/icons/Entities/farcs.gif' ALT='farcs' ALIGN='BOTTOM' />0 at 15 and 24 μm. The sensitivities at 3.2, 7, and 24 μm are roughly comparable to those of the Spitzer SAGE LMC point-source catalog, while the AKARIcatalog provides the data at 11 and 15 μm, covering the mid-infrared spectral range contiguously. Two types of catalog are provided: a Catalog and an Archive. The Archive contains all the detected sources, while the Catalog only includes the sources that have a counterpart in the Spitzer SAGE point-source catalog. The Archive contains about 650,000, 140,000, 97,000, 43,000, and 52,000 sources at 3.2, 7, 11, 15, and 24 μm, respectively. Based on the catalog, we discuss the luminosity functions at each band, the color-color diagram, and the color-magnitude diagram using the 3.2, 7, and 11 μm band data. Stars without circumstellar envelopes, dusty C-rich and O-rich stars, young stellar objects, and background galaxies are located at distinct regions in the diagrams, suggesting that the present catalog is useful for the classification of objects toward the LMC.</P>
Extension Field for Ate Pairing with Freeman Curve
Kenta Nekado,Hidehiro Kato,Masataka Akane,Yasuyuki Nogami,Yoshitaka Morikawa 대한전자공학회 2008 ITC-CSCC :International Technical Conference on Ci Vol.2008 No.7
Recently, pairing-based cryptographies such as ID-based cryptography and group signature have been studied. For fast pairing calculation, not only pairing algorithms but also arithmetic operations in extension field must be efficiently carried out. The authors consider efficient arithmetic operations of extension field for Ate pairing especially with Freeman curve.
An Improvement of Twisted Ate Pairing Using Integer Variable with Small HammingWeight
Yumi Sakemi,Hidehiro Kato,Yasuyuki Nogami,Yoshitaka Morikawa 대한전자공학회 2008 ITC-CSCC :International Technical Conference on Ci Vol.2008 No.7
Barreto?Naehrig (BN) curve has been introduced as a pairing-friendly elliptic curve over prime field Fp which has embedding degree 12. Characteristic and Frobenius trace are given as polynomials of integer variable χ. This paper proposes an improvement of Miller’s algorithm of twisted Ate pairing with BN curve by χ of small hamming weight. Then, in order to show the efficiency of the proposed method, twisted Ate pairings with BN curve of order r ? 2¹?? and r ? 2²?⁴ are simulated and it is shown that these twisted Ate pairings are carried out with 7.21 milliseconds and 16.5 milliseconds by Pentium4 (3.6㎓), respectively.
Efficient Exponentiation in Extensions of Finite Fields without Fast Frobenius Mappings
Yasuyuki Nogami,Hidehiro Kato,Kenta Nekado,Yoshitaka Morikawa 한국전자통신연구원 2008 ETRI Journal Vol.30 No.6
This paper proposes an exponentiation method with Frobenius mappings. The main target is an exponentiation in an extension field. This idea can be applied for scalar multiplication of a rational point of an elliptic curve defined over an extension field. The proposed method is closely related to so-called interleaving exponentiation. Unlike interleaving exponentiation methods, it can carry out several exponentiations of the same base at once. This happens in some pairing-based applications. The efficiency of using Frobenius mappings for exponentiation in an extension field was well demonstrated by Avanzi and Mihailescu. Their exponentiation method efficiently decreases the number of multiplications by inversely using many Frobenius mappings. Compared to their method, although the number of multiplications needed for the proposed method increases about 20%, the number of Frobenius mappings becomes small. The proposed method is efficient for cases in which Frobenius mapping cannot be carried out quickly.
How to Generate a Secure Composite Order Ordinary Pairing-friendly Curve of Embedding Degree 3
Yasuyuki Nogami,Kazushi Nishii,Yumi Sakemi,Hidehiro Kato,Yoshitaka Morikawa 대한전자공학회 2009 ITC-CSCC :International Technical Conference on Ci Vol.2009 No.7
This paper proposes an efficient method for generating secure composite order ordinary pairing?friendly elliptic curves of embedding degree 3. It averagely takes about 22 minutes on Core 2 Duo (3.0㎓).
Ohtani, Maki,Hikima, Jun-ichi,Hwang, Seong Don,Morita, Takahiro,Suzuki, Yoshiaki,Kato, Goshi,Kondo, Hidehiro,Hirono, Ikuo,Jung, Tae-Sung,Aoki, Takashi Elsevier 2012 DEVELOPMENTAL AND COMPARATIVE IMMUNOLOGY Vol.36 No.4
<P><B>Highlights</B></P><P>► Japanese flounder type I IFN gene was cloned and clustered with Acanthopterygii. ► The poly I:C-responsible region (−634 to −179bp) was found in IFN promoter. ► Transcriptional activity of IFN promoter was enhanced by the flounder IRF3. ► The activity of IFN promoter was induced by RLRs after poly I:C-stimulation.</P> <P><B>Abstract</B></P><P>Type I interferon (IFN) induces the antiviral response in innate immunity. The type I IFN gene cloned from Japanese flounder (<I>Paralichthys olivaceus</I>) has a length of 1189bp and consisting of 5 exons and 4 introns. In a phylogenetic tree of type I IFNs, Japanese flounder grouped with other Acanthopterygii. To gain insight into the transcriptional regulation of IFN gene, the 1.36kb 5′-upstream region including numerous canonical motifs to bind transcription factors [for example, IFN regulatory factor (IRF)] was analyzed. In HINAE cells using a luciferase reporter assay, poly I:C-responsive transcriptional activity was found in the region from −634 to −179bp. This region includes several IRF motifs. In the presence of poly I:C, overexpression of IRF3 and RLR strongly enhanced transcriptional activity. These results suggest that the transcriptional regulation of Japanese flounder type I IFN is regulated by IRF3 after triggering with dsRNA sensors.</P>