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Design of a Bit-Serial Divider in GF(2$^{m}$ ) for Elliptic Curve Cryptosystem (타원곡선 암호시스템을 위한 GF(2$^{m}$ )상의 비트-시리얼 나눗셈기 설계)

  • 김창훈;홍춘표;김남식;권순학
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.27 no.12C
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    • pp.1288-1298
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    • 2002
  • To implement elliptic curve cryptosystem in GF(2$\^$m/) at high speed, a fast divider is required. Although bit-parallel architecture is well suited for high speed division operations, elliptic curve cryptosystem requires large m(at least 163) to support a sufficient security. In other words, since the bit-parallel architecture has an area complexity of 0(m$\^$m/), it is not suited for this application. In this paper, we propose a new serial-in serial-out systolic array for computing division operations in GF(2$\^$m/) using the standard basis representation. Based on a modified version of tile binary extended greatest common divisor algorithm, we obtain a new data dependence graph and design an efficient bit-serial systolic divider. The proposed divider has 0(m) time complexity and 0(m) area complexity. If input data come in continuously, the proposed divider can produce division results at a rate of one per m clock cycles, after an initial delay of 5m-2 cycles. Analysis shows that the proposed divider provides a significant reduction in both chip area and computational delay time compared to previously proposed systolic dividers with the same I/O format. Since the proposed divider can perform division operations at high speed with the reduced chip area, it is well suited for division circuit of elliptic curve cryptosystem. Furthermore, since the proposed architecture does not restrict the choice of irreducible polynomial, and has a unidirectional data flow and regularity, it provides a high flexibility and scalability with respect to the field size m.

A study on the Meaning Contact of ManChwi Pavilion's Place Transmission and Sense of Prototype Landscape (만취정(晩翠亭)의 장소 전승과 원형경관향유 양상)

  • Lee, Seung-Yeon;Shin, Sang-Sup;Kahng, Byung-Seon
    • Journal of the Korean Institute of Traditional Landscape Architecture
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    • v.34 no.3
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    • pp.38-49
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    • 2016
  • This study is based on the assumption that the documentations, and poetry form a basis for undertone of the location and original landscape explored by inference and enjoyment aspects; the significance has been inferred by investigating the original location, relocated location, and the original landscape of Imsil Manchwi Pavilion. The results of the attempted research for locational value, and preservation of the original landscape before and after the relocation of Imsil Manchwi Pavilion is as follows. Firstly, Manchwi, meaning evergreen, was made a pseudonym of KimWi. The name reflects an image two evergreen pine trees facing one another. The poetry form presents the eternal fidelity. In addition, considering the symbolic plant and the meaning of evergreen pine trees specified on the pavilion, the name is derived from the fidelity, longevity of the family, vitality and so on. Secondly, Manchwi Pavilion was founded in the location, known as the snakehead form, that represents the vitality. Snake faces the swallow form over the river, therefore, it connotes the wishes for fidelity and prosperity of the family. Manchwi Pavillion is prostrate pheasant form which is suitable for those who look for a hiding place or place for their study. It is noticeable that the location infers and hand down the efforts on succession for prosperity of the family and the study. Thirdly, it is estimated that Manchwi Pavilion was established between 1572 and 1582; and the relocation was conducted in the late 1880s. Fourthly, although eternal fidelity was presented in Manchwi Pavillion with locational language, the Manchwi Pavillion after its relocation next to KimWi's grave implies the tendency of the changed value: the commemoration of the ancestors, and prosperity of the family. Fifthly, after the relocation of the pavilion, the proportion of the rooms with Korean heating system, so-called'Ondol'has been increased for its best use in all seasons. And its veranda for extension and its verse couplet implies that this connote the original meaning and pursuit of the study. Sixthly, the way that the poetry portrays pine trees, pond, plants, valleys, and streams shows the aspect of enjoyment of the landscapes and the meaning of fidelity, pure mind, free and easy life, self-examination, the frailty of human life. Lastly, despite the difference between tenth poetic language of three Sipyoung and Wonwoon Sipyeong, exploring the landscape based on the analysis on the poetry can be a basis on the maintenance and restoration of the original landscape as the inspiration and the meaning show that Wonwoon Sipyeong maintains the aspect of the author enjoying original landscape.

Synesthetic Aesthetics in the Narrative, Painting and Music in the Film The Age of Innocence (영화 <순수의 시대>의 서사와 회화, 음악에 나타난 공감각적 미학 세계)

  • Shin, Sa-Bin
    • Journal of Popular Narrative
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    • v.27 no.1
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    • pp.265-299
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    • 2021
  • The purpose of this research paper is to facilitate the understanding of the synesthetic aesthetics in the film The Age of Innocence through the intertextuality among the narrative, paintings, and music in the film. In this paper, a two-dimensional intertextual analysis of the paintings in relation to the narrative is conducted on the paintings owned by Old New York, the paintings owned by Ellen, the portraits of unknown artists on the street outside of Parker House, and Rubens' painting at the Louvre. A three-dimensional intertextual analysis of performances in relation to the narrative is conducted on the stages and the box seats at the New York Academy of Music, in which Charles F. Gounod's Faust is performed, and the Wallack's Theatre, in which Dion Boucicault's The Shaughraun is performed. An intertextual analysis of music in relation to the narrative is also conducted on the diegetic and non-diegetic classical music of the film, including Beethoven's Piano Sonata No. 8 and Mendelssohn's String Quintet No. 2, as well as Elmer Bernstein's non-diegetic music of the film. The constituent event of The Age of Innocence represents the passion trapped in the reflection of love and desire that are not lasting, and the supplementary event embodies the narrow viewpoint and the inversion of values caused by the patriarchal authority of Old New York. The characters in the film live a double life, presenting an unaffected surface and concealing the problems behind it. The characters restrain their emotions at both the climax and the ending. The most powerful aspect of the film is the type and nature of oppressive life, which are more delicately described with the help of paintings and music, as there is a limit to describing them only by acting. In intertextual terms, paintings and music in The Age of Innocence continuously emphasize "feeling of emotions that cannot be expressed in language." With a synesthetic image, as if each part were imprinted on the previous part, the continuity "responds to continuous camera movements and montage effects." In The Age of Innocence, erotic dynamism brings dramatic excitement to the highest level, switching between the satisfaction of revealing desire and the disappointment of hiding desire due to its taboo status. This is possible because paintings and music related to the narrative have made aesthetic achievements that overcome the limitations of two-dimensional planes and limited frames. The significance of this study lies in that, since the identification in The Age of Innocence is based on the establishment of a synesthetic aesthetic through audio-visual representation of the film narrative, it helps us to rediscover the possibility of cinematic aesthetics.