• Journal of the Korea Institute of Information Security & Cryptology
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• v.19 no.3
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• pp.163-167
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• 2009

In this paper, we analyze key agreement algorithms based on co-cyclic Jacket matrices, and propose key agreement algorithms based on co-cyclic Hadamard matrices to fix the problem. The performance of our proposal is better than conventional one's and the construction of the matrices is very simple. Also time complexity of our proposal is proportional to the factor that determinees the size of the matrix, and the length of the key. So our proposal is fast and will be useful for the communcations of two or three users, especially for those have low computing power.

• Journal of Communications and Networks
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• v.13 no.3
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• pp.211-213
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• 2011

In this paper, we propose a key agreement protocol using Sylvester Hadamard matrices. Users obtain their common key by using a matrix shared in advance. Matrix construction is very simple, and the computation is quite fast. The proposal will be useful for communication between two users, especially for those having low computing power.

• The Journal of the Institute of Internet, Broadcasting and Communication
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• v.16 no.6
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• pp.319-327
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• 2016

In this paper we investigate that most of plants and animals have the symmetric property, such as a tree or a sheep's horn. In addition, the human body is also symmetric and contains the DNA. We can see the logarithm helices in Fibonacci series and animals, and helices of plants. The sunflower has a shape of circle. A circle is circular symmetric because the shapes are same when it is shifted on the center. Einstein's spatial relativity is the relation of time and space conversion by the symmetrically generalization of time and space conversion over the spacial. The left and right helices of plants and animals are the symmetric and have element-wise inverse relationships each other. The weight of center weight Hadamard matrix is 2 and is same as the base 2 of natural logarithm. The helix matrices are symmetric and have element-wise inverses.