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The Square Root Modulo p in a Number Field
Jun, Sungtae 건국대학교 자연과학연구소 1998 建國自然科學硏究誌 Vol.9 No.1
일반적으로 임의의 정수를 인수분해 하는 방법은 잘 알려져 있지만, 이러한 정수가 매우 큰 수일 때 인수분해 하는 데 천문학적인 시간이 걸린다. 이러한 이론을 바탕으로 암호를 작성하면 해독이 아직까지는 불가능하다고 알려져 있다. 본 논문에서는 임의의 정수를 특정한 조건을 만족할 경우에 인수분해 하는 알고리듬을 제시하였다. 이러한 알고리듬은 앞으로 많은 연구가 있어야 할 number field seive 이론을 배경으로 하였다. Computing the square root in a number filed is significant to factorize an integer. We describe a method computing the square root modulo p in a number field.
Jun, Ye Lee,Bae, Chang-Hwan,Kim, Dongsoo,Koo, Sungtae,Kim, Seungtae The Korean Society of Ginseng 2015 Journal of Ginseng Research Vol.39 No.2
Background: Ginseng is known to have antiapoptotic, anti-inflammatory, and antioxidant effects. The present study investigated a possible role of Korean Red Ginseng (KRG) in suppressing dopaminergic neuronal cell death and the cleavage of p35 to p25 in the substantia nigra (SN) and striatum (ST) using a 1-methyl-4-phenyl-1,2,3,6-tetrahydropyridine (MPTP)-induced Parkinson's disease mouse model. Methods: Ten-week-old male C57BL/6 mice were injected intraperitoneally with 30 mg/kg of MPTP at 24-h intervals for 5 d, and then administered KRG (1 mg/kg, 10 mg/kg, or 100 mg/kg) once a day for 12 consecutive days from the first injection. Pole tests were performed to assess the motor function of the mice, dopaminergic neuronal survival in the SN and ST was evaluated using tyrosine hydroxylase-immunohistochemistry, and the expressions of cyclin-dependent kinase 5 (Cdk5), p35, and p25 in the SN and ST were measured using Western blotting. Results: MPTP administration caused behavioral impairment, dopaminergic neuronal death, increased Cdk5 and p25 expression, and decreased p35 expression in the nigrostriatal system of mice, whereas KRG dose-dependently alleviated these MPTP-induced changes. Conclusion: These results indicate that KRG can inhibit MPTP-induced dopaminergic neuronal death and suppress the cleavage of p35 to p25 in the SN and the ST, suggesting a possible role for KRG in the treatment of Parkinson's disease.
ON THE SUM OF CERTAIN MULTIPLICATIVE FUNCTIONS
Kim, Insuk,Jun, Sungtae The Honam Mathematical Society 2014 호남수학학술지 Vol.36 No.3
We find an asymptotic formula of the sum of multi-plicative functions with Dirichlet inversion formula.
CERTAIN IDENTITIES OF ZETA FUNCTIONS ON A QUATERNION ALGEBRA
Kim, Insuk,Jun, Sungtae The Honam Mathematical Society 2013 호남수학학술지 Vol.35 No.1
There are some identities between the representations of Hecke operators defined on a subspace of modular forms associated with orders of a Quaternion algebra. In this paper, we find the identities between the zeta functions attached to these representations.
ON THE SUMMATION FORMULA FOR THE CERTAIN ARITHMETIC FUNCTION
Kim, Insuk,Jun, Sungtae The Honam Mathematical Society 2016 호남수학학술지 Vol.38 No.4
General summation formula for sums involving ${\sigma}(n)/n$ is expressed with infinite series containing a Bessel function.
On the Security of Certain Hyperelliptic Curves
Kim, Insuk,Jun, Sungtae 한국산업정보응용수학회 2000 한국산업정보응용수학회 Vol.4 No.1
We compute the order of jacobian groups of hyperelliptic curves on a finite field of characteristic 3 and we determine which curves are secure against known attacks.
ON THE SUMMATION FORMULA FOR THE CERTAIN ARITHMETIC FUNCTION
( Insuk Kim ),( Sungtae Jun ) 호남수학회 2016 호남수학학술지 Vol.38 No.4
General summation formula for sums involving σ(n)/n is expressed with infinite series containing a Bessel function.
전현규(Hyunkyu Jun),서정원(Jeongwon Seo),권석진(Seokjin Kwon),이동형(Donghyung Lee),권성태(Sungtae Kwon) 대한기계학회 2009 대한기계학회 춘추학술대회 Vol.2009 No.11
The spot weld between the side panel and the side-sil of electric multiple unit(EMU) underframe could be detached as the time go on due to the corrosion at the side panel. For this reason, it is necessary to check the structural strength of car-body considering the detachment of spot welds. For this reason, we develop a finite element model of car body of typical EMU by comparing the deflections obtained from the 3 point load test and FE analysis. And then we simulate the detachment between the side panel and side-sil by detaching the nodes in the FE model. We calculate the structural strength of car-body by 3D finite element analysis. The analysis results show that the detachment of spot weld seems to give very small affect the deformation at side-sil which is the one of very important design parameters of car-body. Base on the analysis results, we conclude that the detachment of spot weld may not deteriorate the whole strength of car-body.