start-ver=1.4 cd-journal=joma no-vol=42 cd-vols= no-issue=1 article-no= start-page=110 end-page=114 dt-received= dt-revised= dt-accepted= dt-pub-year=2008 dt-pub=200801 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A Method for Checking the Parity of (#Jc - 1)=2 of Genus 2 and 3 Hyperelliptic Curves en-subtitle= kn-subtitle= en-abstract= kn-abstract=This paper shows a method for checking the parity of (#Jc − 1)/2 without calculating the order #Jc, where #Jc is the order of genus 2 or 3 hyperelliptic curve. en-copyright= kn-copyright= en-aut-name=NogamiYasuyuki en-aut-sei=Nogami en-aut-mei=Yasuyuki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=MorikawaYoshitaka en-aut-sei=Morikawa en-aut-mei=Yoshitaka kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=Graduate School of Natural Science and Technology, Okayama University affil-num=2 en-affil= kn-affil=Graduate School of Natural Science and Technology, Okayama University END start-ver=1.4 cd-journal=joma no-vol=42 cd-vols= no-issue=1 article-no= start-page=104 end-page=109 dt-received= dt-revised= dt-accepted= dt-pub-year=2008 dt-pub=200801 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Fatigue Crack Propagation Evaluated by Electric Resistance and Ultrasonics in Copper Film Bonded to Base Metal with Resin en-subtitle= kn-subtitle= en-abstract= kn-abstract=As model specimens of surface film-bonded materials, pure copper films with a thickness of 100μm were bonded to the surface of steel base with epoxy resin, where the tensile residual stress was measured by an X-ray on the surface copper film. The distribution of initial electric resistance was measured on both copper film and base specimen by a direct current potential drop technique. As a result, there was a good agreement between the measured and theoretical values. From the fatigue testing results, it was shown that the measured electric resistance increased with the fatigue crack length on the copper film, which was almost equal to the theoretical value calculated for a central slit in a plate with finite width. This was probably because the fatigue crack was opened due to the tensile residual stress on the film even under unloading condition. In addition, the internal crack length during fatigue was examined by ultrasonic testing for the film-bonded specimen. As a result, there was a difference in the fatigue crack length between the surface copper film and the inner base. en-copyright= kn-copyright= en-aut-name=DonghuiMA en-aut-sei=Donghui en-aut-mei=MA kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=ToriiTashiyuki en-aut-sei=Torii en-aut-mei=Tashiyuki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=ShimizuKenichi en-aut-sei=Shimizu en-aut-mei=Kenichi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= en-aut-name=MatsubaAkira en-aut-sei=Matsuba en-aut-mei=Akira kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=4 ORCID= affil-num=1 en-affil= kn-affil=Graduate student, Graduate School of Natural Science and Technology, Okayama University affil-num=2 en-affil= kn-affil=Graduate School of Natural Science and Technology, Okayama University affil-num=3 en-affil= kn-affil=Graduate School of Natural Science and Technology, Okayama University affil-num=4 en-affil= kn-affil=Hiroshima Prefectural Technology Research Institute END start-ver=1.4 cd-journal=joma no-vol=42 cd-vols= no-issue=1 article-no= start-page=91 end-page=103 dt-received= dt-revised= dt-accepted= dt-pub-year=2008 dt-pub=200801 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Cooperation of Production, Product Handling and TransferScheduling for Semiconductor Fabrication en-subtitle= kn-subtitle= en-abstract= kn-abstract=Various kind of productions are made in semiconductor fabrications, where it employs the production system with multiprocesses and multiple Automated Guided Vehicles(AGVs) for transportation. It is difficult to optimize planning of production and transportation simultaneously because of the complicated flow of semifinished products. This paper describes the formulations of production scheduling, transportation routing and sequence planning of material handling system, and algorithm for simultaneous optimization of plannings by using solution space reduction and simulated annealing method. In this paper, all production system is decomposed to the production scheduling problem, transportation routing problem by AGVs and sequence planning of material handling system with managing stockers and buffers. Production scheduling problem and transportation routing problem are solved by the optimization algorithm using the decomposition routing problem. Sequence planning of material handling robot problem is solved by the algorithm using simulated annealing method. en-copyright= kn-copyright= en-aut-name=RyoheiHamana en-aut-sei=Ryohei en-aut-mei=Hamana kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=KonishiMasami en-aut-sei=Konishi en-aut-mei=Masami kn-aut-name=小西正躬 kn-aut-sei=小西 kn-aut-mei=正躬 aut-affil-num=2 ORCID= en-aut-name=ImaiJun en-aut-sei=Imai en-aut-mei=Jun kn-aut-name=今井純 kn-aut-sei=今井 kn-aut-mei=純 aut-affil-num=3 ORCID= affil-num=1 en-affil= kn-affil=Division of Electronic and Information System Engineering Graduate School of Natural Science and Technology Okayama University affil-num=2 en-affil= kn-affil=Division of Industrial Innovation Science Graduate School of Natural Science and Technology Okayama University affil-num=3 en-affil= kn-affil=Division of Industrial Innovation Science Graduate School of Natural Science and Technology Okayama University END start-ver=1.4 cd-journal=joma no-vol=42 cd-vols= no-issue=1 article-no= start-page=79 end-page=90 dt-received= dt-revised= dt-accepted= dt-pub-year=2008 dt-pub=200801 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Temperature Distribution Control of Reactor Furnace by StateSpace Method using FEM Modeling en-subtitle= kn-subtitle= en-abstract= kn-abstract=The operations of a reactor furnace such as a blast furnace still depend on the experiences and intuitions of skilled operators due to the complexity of internal furnace phenomena and high temperature. There is a great demand for stable operations under the circumstances of a decrease in the number of skilled operators and difficulty in technology inheritance. This paper aims to construct mathematical description for control of a reactor furnace. Further, the linear-quadratic-gaussian control system for a reactor furnace is proposed, which estimates inner furnace temperature distribution using measured data near furnace wall. Temperature distribution of a furnace is controlled based on the estimated inner temperature distribution changing of boundary conditions of a furnace. The practicability of the proposed control method was checked through numerical experiments. en-copyright= kn-copyright= en-aut-name= en-aut-sei= en-aut-mei= kn-aut-name=NotsuTadafumi kn-aut-sei=Notsu kn-aut-mei=Tadafumi aut-affil-num=1 ORCID= en-aut-name=KonishiMasami en-aut-sei=Konishi en-aut-mei=Masami kn-aut-name=小西正躬 kn-aut-sei=小西 kn-aut-mei=正躬 aut-affil-num=2 ORCID= en-aut-name=ImaiJun en-aut-sei=Imai en-aut-mei=Jun kn-aut-name=今井純 kn-aut-sei=今井 kn-aut-mei=純 aut-affil-num=3 ORCID= affil-num=1 en-affil= kn-affil=Division of Electronic and Information System Engineering Graduate School of Natural Science and Technology Okayama University affil-num=2 en-affil= kn-affil=Division of Industrial Innovation Science Graduate School of Natural Science and Technology Okayama University affil-num=3 en-affil= kn-affil=Division of Industrial Innovation Science Graduate School of Natural Science and Technology Okayama University END start-ver=1.4 cd-journal=joma no-vol=42 cd-vols= no-issue=1 article-no= start-page=71 end-page=78 dt-received= dt-revised= dt-accepted= dt-pub-year=2008 dt-pub=200801 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Optimization of Inventories for Multiple Companies by Fuzzy Control Method en-subtitle= kn-subtitle= en-abstract= kn-abstract=In this research, Fuzzy control theory is applied to the inventory control of the supply chain between multiple companies. The proposed control method deals with the amount of inventories expressing supply chain between multiple companies. Referring past demand and tardiness, inventory amounts of raw materials are determined by Fuzzy inference. The method that an appropriate inventory control becomes possible optimizing fuzzy control gain by using SA method for Fuzzy control. The variation of uncertain demand is given to the proposal method. Furthermore, the method of forecasting demand and the effectiveness of fuzzy control method are confirmed by numerical experiments. As the results, the proposal method suppressed increase in an unnecessary cost when demand varies. en-copyright= kn-copyright= en-aut-name=KawaseKoichi en-aut-sei=Kawase en-aut-mei=Koichi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=KonishiMasami en-aut-sei=Konishi en-aut-mei=Masami kn-aut-name=小西正躬 kn-aut-sei=小西 kn-aut-mei=正躬 aut-affil-num=2 ORCID= en-aut-name=ImaiJun en-aut-sei=Imai en-aut-mei=Jun kn-aut-name=今井純 kn-aut-sei=今井 kn-aut-mei=純 aut-affil-num=3 ORCID= affil-num=1 en-affil= kn-affil=Division of Electronic and Information System Engineering Graduate School of Natural Science and Technology Okayama University affil-num=2 en-affil= kn-affil=Division of Electronic and Information System Engineering Graduate School of Natural Science and Technology Okayama University affil-num=3 en-affil= kn-affil=Division of Electronic and Information System Engineering Graduate School of Natural Science and Technology Okayama University END start-ver=1.4 cd-journal=joma no-vol=42 cd-vols= no-issue=1 article-no= start-page=60 end-page=70 dt-received= dt-revised= dt-accepted= dt-pub-year=2008 dt-pub=200801 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Transfer Planning of Molten Metals in Steel Worksby Decentralized Agent en-subtitle= kn-subtitle= en-abstract= kn-abstract=In steel works, molten metals discharged from blast furnace are put into a pan for transportation called torpedo and transported to steel making factory by a locomotive. In molten metals transportation, it becomes issues to prevent temperature drop of molten metals for stable production of down stream plants to shorten transportation time. Therefore it is necessary to make an appropriate plan for molten metals transfer considering the production and the transportation simultaneously. In this paper, molten metals transfer planning method is proposed including production scheduling. That is, torpedo schedule, transfer request assignment and route plan of locomotives are optimized according to each objective. en-copyright= kn-copyright= en-aut-name=KikuchiJunji en-aut-sei=Kikuchi en-aut-mei=Junji kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=KonishiMasami en-aut-sei=Konishi en-aut-mei=Masami kn-aut-name=小西正躬 kn-aut-sei=小西 kn-aut-mei=正躬 aut-affil-num=2 ORCID= en-aut-name=ImaiJun en-aut-sei=Imai en-aut-mei=Jun kn-aut-name=今井純 kn-aut-sei=今井 kn-aut-mei=純 aut-affil-num=3 ORCID= affil-num=1 en-affil= kn-affil=Division of Electronic and Information System Engineering Graduate School of Natural Science and Technology Okayama University affil-num=2 en-affil= kn-affil=Division of Electronic and Information System Engineering Graduate School of Natural Science and Technology Okayama University affil-num=3 en-affil= kn-affil=Division of Electronic and Information System Engineering Graduate School of Natural Science and Technology Okayama University END start-ver=1.4 cd-journal=joma no-vol=42 cd-vols= no-issue=1 article-no= start-page=56 end-page=59 dt-received= dt-revised= dt-accepted= dt-pub-year=2008 dt-pub=200801 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Spin Polarization of Two-Dimensional Electron System in a Finite Domain en-subtitle= kn-subtitle= en-abstract= kn-abstract=We analyze the ground state of the two-dimensional quantum system of electrons confined in a parabolic potential with the system size around 100. We map the system onto a classical system on the basis of the classical-map hypernetted-chain (CHNC) method which has been proven to work in the integral-equation-based analyses of uniform unbounded systems and then apply classical numerical simulations. We find that the confined system undergoes the transition to the spin polarized state with the decrease of the average density and the corresponding critical value is as low as rs ∼ 0.3 in terms of the usual rs parameter estimated for the average density. As the ground state for given value of the rs parameter, our data give the critical value for the transition around 20 which is consistent with the known possibility. The advantage of our method is a direct applicability to geometrically complex systems which are difficult to analyze by integral equations. The application to the structure like quantum dots reported here is the first example of such applications. en-copyright= kn-copyright= en-aut-name= en-aut-sei= en-aut-mei= kn-aut-name=MiyakeTakashi kn-aut-sei=Miyake kn-aut-mei=Takashi aut-affil-num=1 ORCID= en-aut-name=TotsujiChieko en-aut-sei=Totsuji en-aut-mei=Chieko kn-aut-name=東辻千枝子 kn-aut-sei=東辻 kn-aut-mei=千枝子 aut-affil-num=2 ORCID= en-aut-name= en-aut-sei= en-aut-mei= kn-aut-name=NakanishiKenta kn-aut-sei=Nakanishi kn-aut-mei=Kenta aut-affil-num=3 ORCID= en-aut-name=TsurutaKenji en-aut-sei=Tsuruta en-aut-mei=Kenji kn-aut-name=鶴田健二 kn-aut-sei=鶴田 kn-aut-mei=健二 aut-affil-num=4 ORCID= en-aut-name=TotsujiHiroo en-aut-sei=Totsuji en-aut-mei=Hiroo kn-aut-name=東辻浩夫 kn-aut-sei=東辻 kn-aut-mei=浩夫 aut-affil-num=5 ORCID= affil-num=1 en-affil= kn-affil=Graduate School of Natural Science and Technology and Faculty of Engineering, Okayama University affil-num=2 en-affil= kn-affil=Graduate School of Natural Science and Technology and Faculty of Engineering, Okayama University affil-num=3 en-affil= kn-affil=Graduate School of Natural Science and Technology and Faculty of Engineering, Okayama University affil-num=4 en-affil= kn-affil=Graduate School of Natural Science and Technology and Faculty of Engineering, Okayama University affil-num=5 en-affil= kn-affil=Graduate School of Natural Science and Technology and Faculty of Engineering, Okayama University END start-ver=1.4 cd-journal=joma no-vol=42 cd-vols= no-issue=1 article-no= start-page=53 end-page=55 dt-received= dt-revised= dt-accepted= dt-pub-year=2008 dt-pub=200801 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Transfer of Quantum Information by Spin Chains : Effect of Noise en-subtitle= kn-subtitle= en-abstract= kn-abstract=In order to transfer quantum information, the use of spin chains has been proposed and their transfer characteristics have been analyzed. As one of the latter, the maximum of the transfer probability over sufficiently long time period is often considered important and some examples with high maximum values have been given. In these examples, the coupling between neighboring spins are tuned so as to attain high efficiency. In this article, we discuss the effect of noise on the values of coupling constant. As a result, we propose a system where the efficiency is high and also the effect of noise is small. en-copyright= kn-copyright= en-aut-name= en-aut-sei= en-aut-mei= kn-aut-name=ChaiHong kn-aut-sei=Chai kn-aut-mei=Hong aut-affil-num=1 ORCID= en-aut-name=TotsujiHiroo en-aut-sei=Totsuji en-aut-mei=Hiroo kn-aut-name=東辻浩夫 kn-aut-sei=東辻 kn-aut-mei=浩夫 aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=Graduate School of Natural Science and Technology and Faculty of Engineering, Okayama University affil-num=2 en-affil= kn-affil=Graduate School of Natural Science and Technology and Faculty of Engineering, Okayama University END start-ver=1.4 cd-journal=joma no-vol=42 cd-vols= no-issue=1 article-no= start-page=48 end-page=52 dt-received= dt-revised= dt-accepted= dt-pub-year=2008 dt-pub=200801 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Numerical Simulations of Two-dimensional Electron Fluid : An Application of Classical-map Hypernetted-chain Method en-subtitle= kn-subtitle= en-abstract= kn-abstract=Based on the mapping introduced by the classical-map hypernetted-chain (CHNC) method, classical numerical simulations, Monte Carlo and molecular dynamics, have been applied to the twodimensional electron fluid and the results are compared with those of quantum Monte Carlo simulations hitherto reported. It is shown that polarization properties of the ground state obtained by the diffusion Monte Carlo method are reproduced within the accuracy of quantum simulations by both of two mapping functions for the quantum temperature which have been proposed within the CHNC method. These results may serve as the basis of numerical simulations based on the CHNC method which are applicable to finite non-periodic systems like quantum dots and systems at finite temperatures. en-copyright= kn-copyright= en-aut-name=TotsujiChieko en-aut-sei=Totsuji en-aut-mei=Chieko kn-aut-name=東辻千枝子 kn-aut-sei=東辻 kn-aut-mei=千枝子 aut-affil-num=1 ORCID= en-aut-name= en-aut-sei= en-aut-mei= kn-aut-name=MiyakeTakashi kn-aut-sei=Miyake kn-aut-mei=Takashi aut-affil-num=2 ORCID= en-aut-name= en-aut-sei= en-aut-mei= kn-aut-name=NakanishiKenta kn-aut-sei=Nakanishi kn-aut-mei=Kenta aut-affil-num=3 ORCID= en-aut-name=TsurutaKenji en-aut-sei=Tsuruta en-aut-mei=Kenji kn-aut-name=鶴田健二 kn-aut-sei=鶴田 kn-aut-mei=健二 aut-affil-num=4 ORCID= en-aut-name=TotsujiHiroo en-aut-sei=Totsuji en-aut-mei=Hiroo kn-aut-name=東辻浩夫 kn-aut-sei=東辻 kn-aut-mei=浩夫 aut-affil-num=5 ORCID= affil-num=1 en-affil= kn-affil=Graduate School of Natural Science and Technology and Faculty of Engineering, Okayama University affil-num=2 en-affil= kn-affil=Graduate School of Natural Science and Technology and Faculty of Engineering, Okayama University affil-num=3 en-affil= kn-affil=Graduate School of Natural Science and Technology and Faculty of Engineering, Okayama University affil-num=4 en-affil= kn-affil=Graduate School of Natural Science and Technology and Faculty of Engineering, Okayama University affil-num=5 en-affil= kn-affil=Graduate School of Natural Science and Technology and Faculty of Engineering, Okayama University END start-ver=1.4 cd-journal=joma no-vol=42 cd-vols= no-issue=1 article-no= start-page=44 end-page=47 dt-received= dt-revised= dt-accepted= dt-pub-year=2008 dt-pub=200801 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Vibrational Properties of Si Crystal with Vacancy : A Tight-Binding Study en-subtitle= kn-subtitle= en-abstract= kn-abstract=To analyze vibrational properties of Si crystal with a single charge-neutral vacancy, we perform large-scale simulations based on tight-binding molecular-dynamics method. Vibrational modes and frequencies are obtained by diagonalizing dynamical matrix within a harmonic approximation. Results indicate that there exist vibrational modes spatially localized around the vacancy and large frequency shifts associated with the localized modes contribute significantly to reduction of the vibrational free energy. en-copyright= kn-copyright= en-aut-name= en-aut-sei= en-aut-mei= kn-aut-name=OgawaTakafumi kn-aut-sei=Ogawa kn-aut-mei=Takafumi aut-affil-num=1 ORCID= en-aut-name=TsurutaKenji en-aut-sei=Tsuruta en-aut-mei=Kenji kn-aut-name=鶴田健二 kn-aut-sei=鶴田 kn-aut-mei=健二 aut-affil-num=2 ORCID= en-aut-name=TotsujiChieko en-aut-sei=Totsuji en-aut-mei=Chieko kn-aut-name=東辻千枝子 kn-aut-sei=東辻 kn-aut-mei=千枝子 aut-affil-num=3 ORCID= en-aut-name=TotsujiHiroo en-aut-sei=Totsuji en-aut-mei=Hiroo kn-aut-name=東辻浩夫 kn-aut-sei=東辻 kn-aut-mei=浩夫 aut-affil-num=4 ORCID= en-aut-name= en-aut-sei= en-aut-mei= kn-aut-name=HiroshiIyetomi kn-aut-sei=Hiroshi kn-aut-mei=Iyetomi aut-affil-num=5 ORCID= affil-num=1 en-affil= kn-affil=Department of Electrical and Electronic Engineering Okayama University affil-num=2 en-affil= kn-affil=Department of Electrical and Electronic Engineering Okayama University affil-num=3 en-affil= kn-affil=Department of Electrical and Electronic Engineering Okayama University affil-num=4 en-affil= kn-affil=Department of Electrical and Electronic Engineering Okayama University affil-num=5 en-affil= kn-affil=Department of Physics Niigata University END start-ver=1.4 cd-journal=joma no-vol=42 cd-vols= no-issue=1 article-no= start-page=36 end-page=43 dt-received= dt-revised= dt-accepted= dt-pub-year=2008 dt-pub=200801 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Fast Exponentiation in Extension Field with Frobenius Mappings en-subtitle= kn-subtitle= en-abstract= kn-abstract=This paper proposes an exponentiation method with Frobenius mappings. Our method is closely related to so-called interleaving exponentiation. Different from the interleaving exponentiation methods, our method can carry out several exponentiations using same base at the same time. The efficiency to use Frobenius mappings for an exponentiation in extension field is well introduced by Avanzi and Mihailescu. This exponentiation method is based on so-called simultaneous exponentiation and uses many Frobenius mappings. Their method more decreased the number of multiplications; however, the number of Frobenius mappings inversely increased. Compared to their method , the number of multiplications needed for the proposed method becomes about 20% larger; however, that of Frobenius mappings becomes small enough. en-copyright= kn-copyright= en-aut-name=KatoHidehiro en-aut-sei=Kato en-aut-mei=Hidehiro kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=NekadoKenta en-aut-sei=Nekado en-aut-mei=Kenta kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=NogamiYasuyuki en-aut-sei=Nogami en-aut-mei=Yasuyuki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= en-aut-name=MorikawaYoshitaka en-aut-sei=Morikawa en-aut-mei=Yoshitaka kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=4 ORCID= affil-num=1 en-affil= kn-affil=Graduate School of Natural Science and Technology, Okayama University affil-num=2 en-affil= kn-affil=Faculty of Engineering, Okayama University affil-num=3 en-affil= kn-affil=Graduate School of Natural Science and Technology, Okayama University affil-num=4 en-affil= kn-affil=Graduate School of Natural Science and Technology, Okayama University en-keyword=exponentiation kn-keyword=exponentiation en-keyword=Frobenius mapping kn-keyword=Frobenius mapping en-keyword=extension field kn-keyword=extension field END start-ver=1.4 cd-journal=joma no-vol=42 cd-vols= no-issue=1 article-no= start-page=18 end-page=35 dt-received= dt-revised= dt-accepted= dt-pub-year=2008 dt-pub=200801 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Fundamental Matrix Computation: Theory and Practice en-subtitle= kn-subtitle= en-abstract= kn-abstract=We classify and review existing algorithms for computing the fundamental matrix from point correspondences and propose new effective schemes: 7-parameter Levenberg-Marquardt (LM) search, EFNS, and EFNS-based bundle adjustment. Doing experimental comparison, we show that EFNS and the 7-parameter LM search exhibit the best performance and that additional bundle adjustment does not increase the accuracy to any noticeable degree. en-copyright= kn-copyright= en-aut-name=KanataniKenichi en-aut-sei=Kanatani en-aut-mei=Kenichi kn-aut-name=金谷健一 kn-aut-sei=金谷 kn-aut-mei=健一 aut-affil-num=1 ORCID= en-aut-name= en-aut-sei= en-aut-mei= kn-aut-name=YasuyukiSugaya kn-aut-sei=Yasuyuki kn-aut-mei=Sugaya aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=Department of Computer Science, Okayama University affil-num=2 en-affil= kn-affil=Department of Information and Computer Sciences Toyohashi University of Technology END start-ver=1.4 cd-journal=joma no-vol=42 cd-vols= no-issue=1 article-no= start-page=10 end-page=17 dt-received= dt-revised= dt-accepted= dt-pub-year=2008 dt-pub=200801 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Geometric BIC en-subtitle= kn-subtitle= en-abstract= kn-abstract=The author introduced the "geometric AIC" and the "geometric MDL" as model selection criteria for geometric fitting problems. These correspond to Akaike’s "AIC" and Rissanen's "BIC", respectively, well known in the statistical estimation framework. Another criterion well known is Schwarz’ "BIC", but its counterpart for geometric fitting has been unknown. This paper introduces the corresponding criterion, which we call the "geometric BIC", and shows that it is of the same form as the geometric MDL. We present the underlying logical reasoning of Bayesian estimation. en-copyright= kn-copyright= en-aut-name=KanataniKenichi en-aut-sei=Kanatani en-aut-mei=Kenichi kn-aut-name=金谷健一 kn-aut-sei=金谷 kn-aut-mei=健一 aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Department of Computer Science, Okayama University END start-ver=1.4 cd-journal=joma no-vol=42 cd-vols= no-issue=1 article-no= start-page=1 end-page=9 dt-received= dt-revised= dt-accepted= dt-pub-year=2008 dt-pub=200801 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Structural Analysis of Minimum Weight Codewords of the (32, 21, 6) and (64, 45, 8) Extended BCH Codes Using Invariance Property en-subtitle= kn-subtitle= en-abstract= kn-abstract=Two typical examples, the (32, 21, 6) and (64, 45, 8) extended code of primitive permuted BCH codes, are considered. The sets of minimum weight codewords are analyzed in terms of Boolean polynomial representation. They are classied by using their split weight structure with respect to the left and right half trellis sections, and for each class, the standard form is presented. Based on the results, we can generate a proper list of the minimum weight codewords of the codes. en-copyright= kn-copyright= en-aut-name= en-aut-sei= en-aut-mei= kn-aut-name=AsataniJun kn-aut-sei=Asatani kn-aut-mei=Jun aut-affil-num=1 ORCID= en-aut-name=KoumotoTakuya en-aut-sei=Koumoto en-aut-mei=Takuya kn-aut-name=甲本卓也 kn-aut-sei=甲本 kn-aut-mei=卓也 aut-affil-num=2 ORCID= en-aut-name= en-aut-sei= en-aut-mei= kn-aut-name=ToruFujiwara kn-aut-sei=Toru kn-aut-mei=Fujiwara aut-affil-num=3 ORCID= en-aut-name= en-aut-sei= en-aut-mei= kn-aut-name=TadaoKasami kn-aut-sei=Tadao kn-aut-mei=Kasami aut-affil-num=4 ORCID= affil-num=1 en-affil= kn-affil=Faculty of Engineering Okayama University of Science affil-num=2 en-affil= kn-affil=Graduate School of Natural Science and Technology, Okayama University affil-num=3 en-affil= kn-affil=Graduate School of Information Science and Technology, Osaka University affil-num=4 en-affil= kn-affil=Graduate School of Information Science Nara Institute of Science and Technology en-keyword=Boolean polynomial representation kn-keyword=Boolean polynomial representation en-keyword=extended BCH codes kn-keyword=extended BCH codes en-keyword=minimum weight codewords kn-keyword=minimum weight codewords en-keyword=binary shift invariance property kn-keyword=binary shift invariance property END