• Journal of the Korean Mathematical Society
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• v.25 no.2
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• pp.199-206
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• 1988

• Journal of the Korean Mathematical Society
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• v.31 no.1
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• pp.1-9
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• 1994

• Kyungpook Mathematical Journal
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• v.32 no.1
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• pp.125-130
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• 1992

• Bulletin of the Korean Mathematical Society
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• v.41 no.3
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• pp.419-426
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• 2004

Let R be a commutative Noetherian ring and let M be an Artinian R-module. Let M${\subseteq}$M′ be submodules of M. Suppose F is an R-module which is projective relative to M. Then it is shown that $Att_{R}$($Hom_{A}$ (F,M′) :$Hom_{A}$(F,M) $In^n$), n ${\in}$N and $Att_{R}$($Hom_{A}$(F,M′) :$Hom_{A}$(F,M) In$^n$ $Hom_{A}$(F,M") :$Hom_{A}$(F,M) $In^n$),n ${\in}$ N are ultimately constant.

• Korean Journal of Cognitive Science
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• v.23 no.3
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• pp.323-348
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• 2012

Three experiments were conducted to explore the interaction of personal pronoun (e.g. 'I' and 'you') and emotional evaluation (e.g. positive and negative) using time-course (e.g. SOA 500-1000ms) and multi-task approaches (e.g. lexical decision task and primed naming task). In Experiment 1, Participants were presented personal pronoun as primes at SOA 1000ms and were asked to response emotional words which were differed in emotional attributes. The results showed that the interaction effects of personal pronoun and emotional words were found. In Experiment 2, Participants were presented personal pronoun as primes at SOA 1000ms and were asked to response emotional words which were differed in emotional attributes. The results showed that no effects were found. In Experiment 3, Participants were presented personal pronoun as primes at SOA 500ms and were asked to pronounce emotional words which were differed in emotional attributes. The results showed that the interaction of personal pronoun and emotional words were found. The results of 3 experiments were discussed from a point of view of dynamic processes of social cognition.

• Journal of the Korea Society of Computer and Information
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• v.17 no.5
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• pp.59-70
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• 2012

RSA-CRT is one of the commonly used techniques to speedup RSA operation. Since RSA-CRT performs its operations based on the modulus of two private primes, it is about four times faster than RSA. In RSA, the two primes are normally thrown away after generating the public key pair. However, in RSA-CRT, the two primes are directly used in RSA operations. This led to hardware fault attacks which can be used to factor the public modulus. The most common way to counter these attacks is based on error propagation. In these schemes, all the outputs of RSA are affected by the infected error which makes it difficult for an adversary to use the output to factor the public modulus. However, the error propagation has sequentialized the RSA operation. Moreover, these schemes have been found to be still vulnerable to hardware fault attacks. In this paper, we propose two new RSA-CRT schemes which are both resistant to hardware fault attack and support parallel execution: one uses common modulus and the other one perform operations in each prime modulus. Both proposed schemes takes about a time equal to two exponentiations to complete the RSA operation if parallel execution is fully used and can protect the two private primes from hardware fault attacks.

• Proceedings of the Korea Institutes of Information Security and Cryptology Conference
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• 1997.11a
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• pp.173-182
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• 1997

공개키 시스템에서는 소수들이 필요하고, 이 소수들을 효율적인 방법으로 빠르게 생성할 수 있는 것이 중요하다. 본 논문에서는 소수들을 간단하면서도 효과적으로 생성할 수 있는 방법을 제안한다.

• Bulletin of the Korean Mathematical Society
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• v.45 no.2
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• pp.273-275
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• 2008

We will give a short and elementary proof of the existence of infinitely many primes p such that a given positive integer a congruent 3 modulo 4 is a quadratic non-residue modulo p.

• Bulletin of the Korean Mathematical Society
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• v.54 no.1
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• pp.43-50
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• 2017

Let A(n) denote the largest absolute value of the coefficients of n-th cyclotomic polynomial ${\Phi}_n(x)$ and let p < q < r be odd primes. In this note, we give an infinite family of cyclotomic polynomials ${\Phi}_{pqr}(x)$ with A(pqr) = 3, without fixing p.

• Honam Mathematical Journal
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• v.25 no.1
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• pp.53-72
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• 2003

Recently there has been a large body of interest research on asymptotic behaviour of ideals relative to some modules. The purpose of this paper is to provide a survey of these new results.