• The Journal of the Korea institute of electronic communication sciences
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• v.4 no.4
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• pp.265-269
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• 2009

A conference key agreement system is a scheme to generate a session key in a contributory manner in order to communicate with each other securely among participants. In this paper an efficient conference key agreement system is proposed by employing symmetric balanced incomplete block design(SBIBD), one class of block designs. The protocol presented not only minimizes the message overhead and message exchanging rounds but also makes every participant contribute evenly for generating a conference key. Our protocol constructs a conference key which takes modified Diffe-Helman form of ${\prod}_{i=0}^{v-1}R_i$, where v is the number of participants and $R_i$ is a random number generated from member i. In a special class of SBIBD, it takes only 3 rounds message exchange and message overhead is $O(v{\sqrt{v}})$. Our protocol can be proved as computationally difficult to calculate as discrete logarithms.

• Journal of the Korea Institute of Information and Communication Engineering
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• v.8 no.2
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• pp.386-393
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• 2004

In order to maintain load balancing in distributed systems in a decentralized manner, every node should obtain workload information from all the nodes on the network. It requires $Ο({v^2})$ traffic overheads, where v is the number of nodes. This paper presents a new synchronous dynamic distributed load balancing algorithm for a ( v,k+1,1)-configured network topology, which is a kind of 2k regular graph, based on symmetric balanced incomplete block design, where v equals ${k^2}+k+1$. Our algorithm needs only Ο(v√v) message overheads and each node receives workload information from all the nodes without redundancy. And load balancing in this algorithm is maintained so that every link has same amount of traffic by √v for transferring workload information.

• The KIPS Transactions:PartC
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• v.8C no.3
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• pp.271-276
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• 2001

회의용 키분배 시스템은 회의용 키를 생성하여 키를 회의에 참석하고 있는 사람에게만 전달하여 서로간에 안전하게 통신하도록 한다. 본 논문에서는 Block Design의 한 분류인 symmetric balanced incomplete block design(SBIBD)를 적용한 효율적인 회의용 키분배시스템을 제안한다. 회의용 키를 생성하고 개인식별 정보를 근거로 하여 인증을 수행하는 통신 프로토콜이 설계된다. 제안된 프로토콜은 회의용 키를 생성하는 메시지의 복잡도를 최소화시키는데, SBIBD의 특별한 분류에서는 참석자의 수 v에 따라 메시지 복잡도는 O(v√v)가 된다. 보안시스템의 구현에서 중요한 요소인 프로토콜의 안전성은 factoring과 discrete logarithm을 계산할 정도로 난해하여 충분히 보장됨을 증명할 수 있다.

• Journal of Korea Multimedia Society
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• v.11 no.3
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• pp.331-340
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• 2008

In order to make load balancing, workload information of nodes should be informed to the network. In a load balancing algorithm[13] based on the SBIBD(Symmetric Balanced Incomplete Block Design), each node receives global workload information by only two round message exchange with O (${\upsilon}{\sqrt{\upsilon}}$) traffic overhead, where ${\upsilon}$ is the number of nodes. It is very efficient but works well only when ${\upsilon}=p^2+p+1$ for a prime number p. In this paper, we generate a special incidence structure in order for the algorithm works well for an arbitrary number of nodes. In the experiment with w,($5{\leq}w{\leq}5,000$), nodes and more than 80% of receiving workload information, traffic overhead was less than O ($w{\sqrt{w}})$ and the result for standard deviation of traffic overhead showed that each node has largely balanced amount of traffic overhead.

• The Korean Journal of Applied Statistics
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• v.12 no.1
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• pp.253-260
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• 1999

이어진 블록계획 중에서 대칭 균형된 불완비 블록계획(Symmetrical Balanced Incomplete Block Design : SBIBD)을 이용하여 n-ary를 블록 완전이면교배(Complete Diallel Cross : CDC)계획을 설계하였다. 처리 수와 반복 수가 고정된 경우, 이렇게 설계된 계획이 균형된 불완비 블록계획을 이용해서 설계한 계획들 중에서 가장 효율이 높은 계획임을 보인다.

• Proceedings of the Korea Multimedia Society Conference
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• 2002.05d
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• pp.1012-1016
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• 2002

분산시스템에서 부하균형을 유지하기 위해서는 네트워크상의 각 노드는 다른 노드들의 부하상태정보를 가져야만 한다. 네트워크상에 ν개의 노드가 존재할 때 모든 노드간에 부하상태정보를 교환하기 위해서는 Ο(ν²)의 트래픽 오버헤드가 필요하게 된다. 이 논문에서는 분산된 노드간에 동기적으로 동작하는 부하균형 알고리즘을 제시한다. 이를 위해 먼저 SBIBD(symmetric balanced incomplete block design)에 근거하여 (ν,k,1)-configuration에 의해 ν=k²-k＋1개의 노드를 갖는 네트워크 토폴로지를 구성하였다. 이 망에서 동작하도록 고안된 부하상태정보 전파 알고리즘은 (equation omitted)의 메시지 오버헤드를 가지면서 각각의 노드가 ν개의 모든 노드에 대한 부하상태정보를 가지도록 한다. 또한 이 부하균형 알고리즘은 모든 링크가 부하상태정보 전송을 위해 동일한 트래픽을 갖도록 설계되었다.

• Journal of Communications and Networks
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• v.14 no.6
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• pp.682-691
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• 2012

Key agreement protocol is a fundamental protocol in cryptography whereby two or more participants can agree on a common conference key in order to communicate securely among themselves. In this situation, the participants can securely send and receive messages with each other. An adversary not having access to the conference key will not be able to decrypt the messages. In this paper, we propose a novel identity-based authenticated multi user key agreement protocol employing a symmetric balanced incomplete block design. Our protocol is built on elliptic curve cryptography and takes advantage of a kind of bilinear map called Weil pairing. The protocol presented can provide an identification (ID)-based authentication service and resist different key attacks. Furthermore, our protocol is efficient and needs only two rounds for generating a common conference key. It is worth noting that the communication cost for generating a conference key in our protocol is only O($\sqrt{n}$) and the computation cost is only O($nm^2$), where $n$ implies the number of participants and m denotes the extension degree of the finite field $F_{p^m}$. In addition, in order to resist the different key attack from malicious participants, our protocol can be further extended to provide the fault tolerant property.