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A Hardware Implementation of the Underlying Field Arithmetic Processor based on Optimized Unit Operation Components for Elliptic Curve Cryptosystems (타원곡선을 암호시스템에 사용되는 최적단위 연산항을 기반으로 한 기저체 연산기의 하드웨어 구현)

  • Jo, Seong-Je;Kwon, Yong-Jin
    • Journal of KIISE:Computing Practices and Letters
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    • v.8 no.1
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    • pp.88-95
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    • 2002
  • In recent years, the security of hardware and software systems is one of the most essential factor of our safe network community. As elliptic Curve Cryptosystems proposed by N. Koblitz and V. Miller independently in 1985, require fewer bits for the same security as the existing cryptosystems, for example RSA, there is a net reduction in cost size, and time. In this thesis, we propose an efficient hardware architecture of underlying field arithmetic processor for Elliptic Curve Cryptosystems, and a very useful method for implementing the architecture, especially multiplicative inverse operator over GF$GF (2^m)$ onto FPGA and futhermore VLSI, where the method is based on optimized unit operation components. We optimize the arithmetic processor for speed so that it has a resonable number of gates to implement. The proposed architecture could be applied to any finite field $F_{2m}$. According to the simulation result, though the number of gates are increased by a factor of 8.8, the multiplication speed We optimize the arithmetic processor for speed so that it has a resonable number of gates to implement. The proposed architecture could be applied to any finite field $F_{2m}$. According to the simulation result, though the number of gates are increased by a factor of 8.8, the multiplication speed and inversion speed has been improved 150 times, 480 times respectively compared with the thesis presented by Sarwono Sutikno et al. [7]. The designed underlying arithmetic processor can be also applied for implementing other crypto-processor and various finite field applications.

The Clinical Significance of Follow Up SCC Levels in Patients with Recurrent Squamous Cell Carcinoma of the Cervix (재발성 자궁경부 편평상피암 환자들에서 Squamous Cell Carcinoma 항원의 유용성)

  • Choi Young Min;Park Sung Kwang;Cho Heung Lae;Lee Kyoung Bok;Kim Ki Tae;Kim Juree;Sohn Seung Chang
    • Radiation Oncology Journal
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    • v.20 no.4
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    • pp.353-358
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    • 2002
  • Purpose : To investigate the clinical usefulness of a follow-up examination using serum squamous cell carcinoma antigen (SCC) for the early detection of recurrence in patients treated for conical squamous cell carcinoma. Materials and Methods : 20 patients who were treated for recurrent cervical squamous cell carcinoma between 1997 and 1998, who had experienced a complete remission after radiotherapy and who underwent an SCC test around the time when recurrence was detected, were included in this study. The levels of SCC were measured from the serum of the patients by immunoassay and values less than 2 ng/mL were regarded as normal. The sensitivity of the SCC test for use in the detection of recurrence, the association between the SCC values and the recurrence patterns and the tumor size and stage, and the temporal relation between the SCC increment and recurrence detection were evaluated. Results : The SCC values were above normal in 17 out of 20 patients, so the sensitivity of the SCC test for the detection of recurrence was $85\%$, and the mean and median of the SCC values were 15.2 and 9.5 ng/mL, respectively. No differences were observed in the SCC values according to the recurrence sites. For 11 patients, the SCC values were measured over a period of 6 months before recurrence was detected, and the mean and median values were 13.6 and 3.6 ng/mL, respectively. The SCC values of 7 patients were higher than the normal range, and the SCC values of the other 4 patients were normal but 3 among them were above 1.5 ng/mL. At the time of diagnosis, the SCC valuess were measured for 16 of the 20 recurrent patients, and the SCC values of the patients with a bulky tumor $(\geq4\;cm)$ or who were in stage IIb or III were higher than those of the patients with a non-bulky tumor or who were in stage Ib or IIa. Conclusion : The SCC test is thought to be useful for the early detection of recurrence during the follow up period in patients treated for cervical squamous cell carcinoma. When an effective salvage treatment is developed in the future, the benefit of this follow-up SCC test will be increased.