• Title/Summary/Keyword: $(n,\

Search Result 97,540, Processing Time 0.122 seconds

A Study on Analysis and Problems of Deliberation to Change the Present Condition Around Cultural Properties - Focusing on the Cultural Properties of Standard Establishment for Change the Present Condition - (문화재 주변 현상변경허가 신청안 분석 및 문제점에 관한 연구 - 현상변경허용기준 수립 문화재를 중심으로 -)

  • Kim, Dong-Chan;Lim, Jin-Kang
    • Journal of the Korean Institute of Traditional Landscape Architecture
    • /
    • v.30 no.1
    • /
    • pp.22-30
    • /
    • 2012
  • The purpose of this study of deliberation results to Change the Present Condition of Gyeonggi-do Designated Cultural Properties established Acceptable Standards of Change the Present and its disposal of the fire, Accordingly to minimize the complaints of neighbors cultural property and Decision of Change the Present Condition to maintain the consistency of that is the purpose of this study and The results of the study are as follows First, 82 of proposals with tangible cultural monuments and 56% and 50% each accounted for the majority. 84% of the individual applicant, the application uses 94% of the construction, application facility houses the highest percentage of 40%. Approved and reconsideration results, while the largest number of monuments, rejected the result was the most frequent types of cultural property. and Building height, the highest was filed. Second, the results of deliberation voted two of the most frequently voted 36.5% to 48.7%, 14.6% is the reconsideration. The main reason for the decision passed Cultural minimal impact surrounding landscape, and the application of the buildings surrounding the site have voted in determining the existence of many affected. The main reason for rejection of the decision and voted to determine the cultural assets, compared to inhibition surrounding area of application architecture is characterized by large-scale. The main reason for reconsideration of the decision after a site survey was the most frequent reconsideration. Third, the primary consideration only if you applied a full half of 82 is 47.5% of cases. Consequences of the two manatgo voted the same, assuming the number of agenda items, the more the decision was rejected, and reconsideration. Fourth, the application area committee areas and cultural phenomenon in the conservation area be applied to each 33.7% and 20.2% was most common. Compared with rejection and reconsideration if the various sections of the application has passed. and When applied to the conservation area there were passed. Cultural committee rejected the decision, if applied to areas were most prevalent, reconsideration of the decision was similar in the two areas. Fifth, the size of the construction of buildings collapsed as a result, you voted in rejection have changed. and Voted to reject the results from the increase in building area when changing a lot of decisions have affected the results.

The Way of Expression of Wangreungdo(王陵圖: A Kind of A Royal Mausoleum Map) Reflected on Sanhyoungdo(山形圖: A Kind of A Mountain Map) in the Late Nineteenth Century - Centering the Drawings Relevant to Jogyoungdan(肇慶壇) of Lee Han, the Founder of Jeonju Lee Family - (19세기 후반 산형도(山形圖)로 본 왕릉도(王陵圖)의 표현방법(表現方法) -전주이씨(全州李氏) 시조(始祖) 이한(李翰)의 조경단(肇慶檀) 관련 그림을 중심으로-)

  • Kim, Jeong-Moon
    • Journal of the Korean Institute of Traditional Landscape Architecture
    • /
    • v.30 no.1
    • /
    • pp.57-65
    • /
    • 2012
  • This work attempted to study the properties of expression of ground, the composition of outlook and the implications of the connotative symbolic scenery throughout investigating the properties of expression content and method of the scenery, outlook, viewpoint, natural features for each drawing and intention of making 4 old maps, which had been made in the period of the Great Korean Empire and had been called 'Wansan-dohyoung(完山圖形),' 'Jogyeongdan- bigak-jaesil-dohyoung(肇慶壇碑閣齋室圖形),' 'Jeonju-geonjisan-dohyoung(全州乾止山圖形)' and 'Jogyeongmyo-gyounggijeon-dohyoung(肇慶廟慶基殿圖形),' and analyzing the correlation between their drawings. For this aim, observatory investigation by using a map, on-spot investigation, analysis involving the satellite images and internet were carried out with literature review simultaneously. The result of investigation could be sum up as follows. Gyounggijeon(1410), Jogyeongmyo(1771) and Jogyeongdan(1899), where are the core space to lay the historically firm foundation for securing the fact Jeonju is the home of the Royal Family of Joseon, had been built, fixed and extended for giving legitimacy to the Joseon Dynasty and a part of strengthening of royal authority. And these had played an important role of spiritual mainstay from early in the Joseon Dynasty to the era of the Great Korean Empire and had been managed and maintained continuously. It is grasped that the 4 maps consist of Sanhyuoungdo(山形圖; a kind of a mountain map), which is the map for showing a burial place of Lee Han(李翰), the founder of the Joseon Dynasty, and its auxiliary drawings and these had been drawn intensively to justify dignity and authority of the Imperial Family and the Emperor after the name of country was renamed the Great Korean Empire as a part of national undertaking. In detail, Wansan-doghyoung is the key map for announcing the existence of Jogyeong-myo, Gyounggijeon and Jogyeongdan in Jeonju and informing their locations and Geonjisan-dohyoung is the map of divination based on topography for highlighting the geomantic justification of the founder's mausoleum. Jogyeongdan-bigak-jaesil-dohyooung is the partial map detailing for Geonjisan-dohyoung. Jeonju-geonjisan-dohyoung and Jogyeongmyo-gyounggijeon-dohyoung had employed the binary reduced scale and the bird-eye view method and in the above maps, Geonji Mountain is the main mountain and these maps make an exaggeration of the main geographical features, centering Wangjabong and Euimyoso, unlike the real geographical features. Also, the other main geographical features, which are found in the burial place, are expressed in detail by changing the view. In the point of view of 1 set being consisted of 4 maps, 'Wansan-dohyoung' has the property not only as Gunhyoundo, which Gun and Hyoun mean a unit of the administrative district, respectively and Gynhyoundo is a kind of the map for recording their locations, but also as the map of showing their locations. On the other side, 'Jogyoungmyogyounggijeondohyoung' is a kind of lay-out drawing as a partially detailed map. In addition, it has been found out that 'Jeonju-geonjisan-dohyoung' and 'Jogyeongdan-bigak-jaesil-dohyoung' is not only Pungsu- hyounggukdo having the function of Sanhyoungdo but also a detail drawing. On the base of these properties, it is considered that the functionality as a serial map had been strengthened, unlike the existing old maps.

A Study on the Arrangement and Design of Cultural Property Signs - Focused on the Seoul Tangible Cultural Properties Located in Jongno-gu Area - (문화재 안내판의 배치와 디자인에 대한 고찰 - 종로구 소재 서울 유형문화재를 중심으로 -)

  • So, Hyun-Su;Kim, Hai-Gyoung
    • Journal of the Korean Institute of Traditional Landscape Architecture
    • /
    • v.30 no.1
    • /
    • pp.66-75
    • /
    • 2012
  • The Seoul Metropolitan Government selected the sign designs of cultural heritages through a public prize contest from a public design perspective and applied the selected design format to the signs of the cultural assets that were designated by the central and Seoul governments and located in Seoul Metropolitan area in 2008. For the purpose of monitoring the result, this study analyzed the installation state of the signs of Seoul tangible cultural properties located in Jongno-gu. The scope of the analysis of this study was expanded to cover the surrounding areas of cultural heritages in order to review the arrangement and design of such signs. The result of this study can be summarized as follows; firstly, not only the flow of travelers' movement but also the direction of sight, their locations in relation to the surrounding facilities or other installations and the integration with similar signs or notices were necessary to be considered in the arrangement of the signs; secondly, the current sings had low quality in terms of durability and readability and seemed utterly distance from the cultural assets indicated by the signs because they were finished with tempered glass; thirdly, the size, shape and materials of the signs were not harmonized with their surrounding areas as only one design was used in the entire cultural property sites without considering such natural or artificial backgrounds of individual signs as rocks, plants, walls or buildings. When selecting the design format of the signs of individual cultural properties that are located dispersively as Seoul tangible cultural properties, it is recommended to determine a group of most representative designs based on natural, man-made and cultural landscape rather than one unified design format and to use a unique well-matched sign for each cultural property. For this reason, this study selected alternative exemplary design models and proposed the type of signs appropriate for each cultural site.

A Study on Growth Condition and Management of Protected Trees in Kimpo (김포시 보호수의 생육실태와 관리방안 연구)

  • Doo, Chul-Eon;Lee, Jong-Bum;Lee, Jae-Keun
    • Journal of the Korean Institute of Traditional Landscape Architecture
    • /
    • v.30 no.1
    • /
    • pp.125-134
    • /
    • 2012
  • This study is determined by tree vigor of analyzing of each object's growth condition in Locational Characteristics and compare the result with impediment extent rate in crown area to provide the management Study about the influence of man-made structures in numbers of protected trees. 68 places where are in the list of Kimpo protected trees were researched in Natural environments, vital degree of trees, number of trees. Crown area was calculated surveying it around the directions of North, East, South and West branching out. Impediment in the area was analyzed after classified into artificial impediment like paved surface(ascon, concrete, block, etc.), a building and a breast wall and natural impediment like soil, stonework and gravel and conclusions are as follow. In analyzing of natural environments, he ground where protected trees have located is consist of 72.05 of manmade structure and artificial in all. There are many protected trees which have less space than crown area for growth suggested by Woo-kyung Sim and Se-kyun Shin in 1992. And it was analyzed that making growth space for protected trees and management of impediment are urgently needed because of that the proportion of impediment covering the crown area has increased as cities are becoming more urbanized results in transforming of trees and weakness of tree vigor. This research shows that under 20% of in crown area is tree vigor determination 1-2 grade 21-50% under is 2-3 grade, higher than 50% is 3-5 grade. More impediment have more difficulty for growing, with the management of root system of protected trees need to be under 20% of rate of land is necessary was improved. As follows are suggested about the standard of management in artificial impediment which influence the number of trees. Firstly, impediment in crown area must be restricted under 20%, but in case outside of the area is not artificial the rate could be higher considerable. Secondly, protected trees growth space secured as much as crown area and impediment must be installed outside the crown area. Thirdly, to move the protected trees, condition of growth space secure must be considered. Fourthly, to develope land, the area around protected trees should be utilized in a park, the area of impediment installation in crown area should be limited as well. Fifthly, As many shown in previous research, for the improvement of old big trees and protected trees, need the tax favor of landowner and purchase of around land, to manage, it needs the budget of local government and advice of expert. Also the study on how various kind of impediment nearby protected trees influence on them has to be continued.

A Semantic Interpretation of the Design Language in the ChwuiseokJeong Wonlim of Gochang - Focusing on the Alegory and Mimesis in 'Chwuiseok' and 'Chilseongam' - (취석정원림에 담긴 조형언어의 의미론적 해석 - '취석'과 '칠성암'에 담긴 알레고리와 미메시스를 중심으로 -)

  • Rho, Jae-Hyun;Lee, Hyun-Woo;Lee, Jung-Han
    • Journal of the Korean Institute of Traditional Landscape Architecture
    • /
    • v.30 no.1
    • /
    • pp.76-89
    • /
    • 2012
  • This study aimed at carrying out a semantic interpretation of the core Design language that seemed to influence deeply in the creation of the ChwuiseokJeong wonlim of Gochang. Especially, this paper aimed at inferring how the spiritual culture of seclusion of the 16th century influenced the creation of the wonlim by understanding the metaphor and symbolism by grasping the transmission meaning and reception meaning of the creators and the people concerned with keywords like Eunil(隱逸: seclusion), Chwuiseok(醉石), and Chilseongam(七星巖). 'Building up a wall' was intentionally carried out in order to represent 'Seven Stars(The Big Dipper)' inside of the wonlim. This is a kind of two-dimensional 'enframement', and a result of active creation of a meaningful landscape. From Chilseongam that was created by assembling, we presumed that Kyung-Hee Kim, Nohgye(蘆溪), the creator showed the recognition and thoughts of astronomy as a Confucian scholar that the ChwuiseokJeong Wonlim where he secluded is the center of the universe. The interpretation of words in Nohgyezip, an anthology, showed that the articles and writtings of Nohgye, his decsendants, and the people of ChwuiseokJeong included alcohols, Chwuiseok, Yeon-Myung Do, and Yuli(栗里) where Do secluded; this means that Nohgye ranked himself with Do because Nohgye also lived in peace by drinking alcohols and enjoying nature like Do did. 'Drinking' was what expressed the mind of Nohgye who wanted to be free and have the joy of enjoying mountains, water, and their landscape like Do did. In other words, 'Drinking' is the symbol of freedom that makes him forget himself and equate himself with nature. These are the representation, imitation, and mimesis of respecting Yeon-Myung Do. As the alegory of 'speaking something with other things' suggested, it is possible to read 'Chwuiseok', came from the story of Yeon-Myung Do, in multiple ways; it superficially points out 'a rock on which he laid when he was drinking', but it also can be interpreted as 'an object' that made him forget his personal troubles. In addition, it means freewill protecting unselfish mind with the spiritual aberration of drinking, 'Chwui(醉)', mentally; also, it can be interpreted metaphorically and broadly as a tool that makes Nohgye reach to the state of nature by the satisfied mind of Yeon-Myung Do. 'Chwuiseok' was a design language that showed the situation of Nohgye by comparing his mind with the mind of Yeon-Myung Do from the Confucian point of view, and a kind of behavioral mimesis based on his respect to Do and 'aesthetic representation of objective reality.' It is not coincidental that this mimesis was shown in the engraved words on Chwuiseok and the creation of ChwuiseokJeong that has the same name with Chwuiseok in Korea and China.

A Study on Value of Geumseonjeong as a Scenic Spot (금선정의 명승적 가치에 관한 연구)

  • Choi, Ji-Young;Lee, Jin-Hyang;Lee, Jae-Keun
    • Journal of the Korean Institute of Traditional Landscape Architecture
    • /
    • v.30 no.1
    • /
    • pp.113-124
    • /
    • 2012
  • The Confucian culture of the Chosun Dynasty has a great effect on the construction of ByeolSeo gardens. Among them, especially the gardens built in Gyeongsang Province areas, where a great number of Confucian scholars were produced in the beautiful natural environment, have maintained various heritage of Confucian culture established by the scholars. Along with the Nakdong River, we can find so many cultural assets of buildings such as head houses, ByeolSeo gardens, including the literary remains such as administrative certificates, poetry and prose, and records of pavilions, which show the trace of the scholars who followed the instructions of the doctrines of Chu-tzu. The Geumseonjeog located in Punggi County, Gyeongsangbuk Province, which was the ByeolSeo gardens possessed by Geumgye Whang Jun-ryang(1517-1563), who was the governor of the area and one of the representative students of Toigye Lee Whang. The building is located nearby the Geumseon Valley with beautiful natural scenery under Sobaek Mountain. Especially the pine forest around the valley boasts a unique natural setting. This study is aimed to analyze the value of natural scenic spot of the Geumseonjeong through the surveys on surroundings, topography, vegetation and water system. including the value of humanistic elements focused on the writings such as 'Geumgyejip' written by Whang Jun-ryang and Lee Whang, another 'Geumgyejip' written by Ryu un-ryong, and 'Geumgyejeongsajungsugi' written by Hong Gyeong-ryeom. And also, the scenic spot value of the signboards such as the 'Geumgyejeongsajungsugi' written by Ryu un-ryong, 'Geumgyejeong' by Lee Han-il, 'Geumgyejeong' written by Jo Un-hyeong and 'Geumgyejeongsa, written by Lee Jung-gi, was analyzed. And the historical and cultural value was analyzed through the semantic interpretation of the series of poetry and pose and the old map established in 1872. In respect of the scenery, the surroundings of the Geumseon Valley boast the outstanding settings as the clean mountain stream in front of the Geumseonjeong makes a beautiful harmony with the pine forest. The pine forest surrounding the Geumseon Valley has played a secret role in the history of the village. Considering the fact that the pine forest was expressed in the map of Punggi County produced in 1872, it may be assumed that the forest was regarded to have historical and scenic value in those times. Considering the fact that the words like 'Beautiful' and 'Scenic spot' were used in the writings like 'Geumgyejip' and there were meeting places around the valley, we can recognize the value of the place as a scenic spot. The beautiful natural scenery surrounding the ByeolSeo gardens, and the increase in humanistic value of the poetry and prose, including the administrative certificates, has recently brought about the cases in which some scenic spots of the ByeolSeo gardens were designated as cultural assets. According to the value as a scenic spot and semantic interpretation of the Geumseonjeong, the pavilion appeared to have a great scenic spot value as a ByeolSeo gardens, so that this study was designed to prepare criteria with which the pavilion may be designated as a scenic spot of ByeolSeo gardens.

Basic Studies on the Location and Spatial Organization Characteristics of the Seoul Sajikdan (서울 사직단(社稷壇)의 입지(立地)와 공간구성특성(空間構成特性)에 관한 기초연구(基礎硏究))

  • Choi, Seung-Sik;Shim, Woo-Kyung;Yoo, Jong-Ho;Jeon, Hye-Won;Choi, Jong-Hee
    • Journal of the Korean Institute of Traditional Landscape Architecture
    • /
    • v.30 no.1
    • /
    • pp.146-158
    • /
    • 2012
  • This study aims to discussion the characteristics of location and spatial organization of the Seoul Sajikdan that has significance as one of national ceremonial place in Joseon Dynasty to understand its landscape architectural characteristics. To do this, we studied in two ways; review of historical documents and analysis of the present conditions and photographing, research materials about the form of physical structure. Through these ways, the results are as follows. First, in case of construction, Sajikdan took fundamental shape in Tae-jong 16 year(1416), since then it had been changed during Imjin War, reign of Suk-jong, and Japanese Colonial Era. It took present shape through restoration of Seoul Sajikdan in 1998. Second, in case of location, Sajikdan abuts onto southeastern range of Mt. Inwang that is Wubaekho(右白虎) of inner four mountain(內四山) of Hanyang, and it has a topography of west-high-east-low type. Also its territory is up to Maedong elementary school, the office of Sajik-dong, and a Dangun shrine. Third, in case of spatial organization, Sadan and Jikdan are in harmony of Yin-Yang(陰陽) and arranged in the center. As making Yumun and Sinmun(神門) at the center of four side of Yuwon and Juwon(周垣), they show organization of the Five Elements. And subsidiary buildings are thought that its arrangement was considered functional similarity and use convenience. Finally, in case of spatial component, Danyu structures are Sadan and Jikdan that hold a Sajikdaeje(社稷大祭), Yuwon that surround two altars, and Juwon that is outer fence of Yuwon. Architectures are Sajikdan Jeongmun, Sinsil, and Anhyangcheong. Also Prunus yedoensis, Zelkova serrata, Acer palmatum, are planted, but Pinus densiflora was main species and there needs to be replanted suitably to the site.

Perspectives on the Characteristics and Meanings as of a Traditional Ecological Landscape as Dangsan Forest and Dangsan Ritual Place in Seoseong-ri, Wando-gun (완도군 서성리 당산숲.당산제 공간의 전통생태경관적 특성 및 의미 고찰)

  • Choi, Jai-Ung;Kim, Dong-Yeob;Kim, Mi-Heui;Jo, Lock-Whan
    • Journal of the Korean Institute of Traditional Landscape Architecture
    • /
    • v.30 no.1
    • /
    • pp.135-145
    • /
    • 2012
  • Traditional village forests called Dangsan forests and Bibo forests in Korea represent an unique cultural landscape with a history of more than several hundred years. Feng-shui forest in China, Satoyama and Shinto shrine forest in Japan are recognized internationally as 'traditional ecological landscapes'. Dangsan forests and Bibo forests have been preserved through generations in the villages, and are no less valuable than Feng-shui forest, and Satoyama. However, the names of Dangsan forest and Bibo forest have not been well recognized worldwide. Dangsan forest in Seoseong-ri, Wando-gun is located on a mountain slope at a riparian forest. It consists of an evergreen broadleaf forest and Carpinus laxiflora forest. The characteristics of Dangsan forest in Seoseong-ri could be found at 10 sacrifice offering places. Two Dangsan trees on the coastal area are included in the sacrifice offering places. Cultural heritage can retain their value when they are fully sustained. Additional construction, demolition or modification should be banned. Furthermore, all means must be taken to facilitate the preservation of monuments and the value and meanings pertaining to them should not be distorted. In a respect of authenticity, Dangsan forest in Seoseong-ri, Wando-gun seems to have original Dangsan culture based on animism with a philosophic background, where a religious service for the mountain god is held at rock of mountain god, and Dangsan ritual is held at shrine on January 8 at 4:00 am by lunar calendar. Relating to the conservation and management of cultural heritage in international discussion, the importance is that whether there is sustainability on the right to the enjoyment of cultural heritage. Dangsan forest in Seoseong-ri is leaved alone to the public. The forest need a social mechanism to support the recovery of deformed shrine and to heighten public awareness of Dangsan forest in order to claim the value as a unique traditional ecological landscape in Korea.

The Landscape Components Illustrated in Tea-drinking Pictures of the Joseon Dynasty (조선시대 다화(茶畵)에 나타나는 경관요소)

  • Choi, Mi-Young;Hong, Kwang-Pyo
    • Journal of the Korean Institute of Traditional Landscape Architecture
    • /
    • v.30 no.1
    • /
    • pp.39-45
    • /
    • 2012
  • The purpose of this research is to look into the tea-drinking pictures of the Joseon Dynasty in order to find the unique landscape traits of tea-drinking spaces of the era. A number of tea-drinking pictures were drawn during the Joseon Dynasty period and in most cases, the names of the painters are stated as well. These factors make tea-drinking pictures a seminal source that illustrates the landscape traits of the last Dynasty of Korea. For those pictures contain the main components of landscape such as the tastes of 'Yangban'(noblemen), natural characters, and space traits. Since tea was first introduced in Korea during the Three Kingdom Period, tea-drinking culture has a long history in the country. There have been various studies about tea and many study results have been presented. Few research, however, have looked into tea culture from the point of landscape. Under the premise that tea-drinking pictures of Joseon Dynasty can be a cultural code that explains Korean tea-drinking culture, this thesis looked into those pictures from various angles and analyzed them in order to elucidate the attributes of scenery components of tea-drinking spaces that Koreans have forged and developed, and following results could be found. The Landscape components illustrated in tea-drinking pictures of the Joseon Dynasty can be divided into the element of architecture, the element of water, stone and plants. First, for the element of architecture, it was found that tea-drinking took place in anywhere in Korea without specific tea-drinking buildings or gardens unlike the case of Japan. This has to do with traits of Koreans who were not bound by formality and truly loved nature. Second, for the element of water, water contributed to making harmonious landscape. Third, for the element of stone, it was clear that stone had a practical role in providing comfortable place for lying and enjoying tea-drinking and scenery. Fourth, plants made elegant figure in the landscape and were planted in accordance with their inner meaning. Tea-drinking pictures of the Joseon Dynasty elucidates that when it comes to tea-drinking, Koreans were not obsessed with a formality of tea-drinking, or a set of tea ceremony, which is profoundly different with Japanese, and Koreans did not put a limit on a place for tea-drinking because for Koreans any place they sat could be a great place for tea-drinking.

A Fast Algorithm for Computing Multiplicative Inverses in GF(2$^{m}$) using Factorization Formula and Normal Basis (인수분해 공식과 정규기저를 이용한 GF(2$^{m}$ ) 상의 고속 곱셈 역원 연산 알고리즘)

  • 장용희;권용진
    • Journal of KIISE:Computer Systems and Theory
    • /
    • v.30 no.5_6
    • /
    • pp.324-329
    • /
    • 2003
  • The public-key cryptosystems such as Diffie-Hellman Key Distribution and Elliptical Curve Cryptosystems are built on the basis of the operations defined in GF(2$^{m}$ ):addition, subtraction, multiplication and multiplicative inversion. It is important that these operations should be computed at high speed in order to implement these cryptosystems efficiently. Among those operations, as being the most time-consuming, multiplicative inversion has become the object of lots of investigation Formant's theorem says $\beta$$^{-1}$ =$\beta$$^{2}$sup m/-2/, where $\beta$$^{-1}$ is the multiplicative inverse of $\beta$$\in$GF(2$^{m}$ ). Therefore, to compute the multiplicative inverse of arbitrary elements of GF(2$^{m}$ ), it is most important to reduce the number of times of multiplication by decomposing 2$^{m}$ -2 efficiently. Among many algorithms relevant to the subject, the algorithm proposed by Itoh and Tsujii[2] has reduced the required number of times of multiplication to O(log m) by using normal basis. Furthermore, a few papers have presented algorithms improving the Itoh and Tsujii's. However they have some demerits such as complicated decomposition processes[3,5]. In this paper, in the case of 2$^{m}$ -2, which is mainly used in practical applications, an efficient algorithm is proposed for computing the multiplicative inverse at high speed by using both the factorization formula x$^3$-y$^3$=(x-y)(x$^2$+xy+y$^2$) and normal basis. The number of times of multiplication of the algorithm is smaller than that of the algorithm proposed by Itoh and Tsujii. Also the algorithm decomposes 2$^{m}$ -2 more simply than other proposed algorithms.