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元東豪 成均館大學校 科學技術硏究所 1983 論文集 Vol.34 No.1
In this paper, by using elastic store, a digital amplifier and a digital attenuator with 1 dB step which, no conversion to analog, are composed of shift registers, full adders and full subtracters were introduced and their characteristics have been studied. In case of the digital amplifier, the experimental results indicated that the large gain and the large input signal make it reduce nonlinearity due to Quantization and shift
GF(2)上의 定規基底를 갖는 原始多項式 分類에 관한 연구
元東豪 成均館大學校 科學技術硏究所 1989 論文集 Vol.40 No.2
The Finite Field GF(2^m) is used in digital signal processing, switching circuits, in particular, the coder and the decoder of BCH code, and the encipher and the decipher of cryptosystem. The arithmatic circuits for GF(2^m) play an important role in them. Therefore there is a need for new arithmatic algorithm that can have much faster operation speed and simple structure, we can consist of much faster arithmatic circuits with normal basis. In this paper, we first obtain all of the primitive polynomials with normal basis for degree less than 15 for GF(2) using computer computation. And we studied some characterestics of primitive polynomials with normal basis in GF(2).
원동호 成均館大學校 科學技術硏究所 1990 論文集 Vol.41 No.2
Arithmetic circuit on finite field GF(2^m) plays an important role in implementation of Reed-Solomon coders and in some cryptographic algorithms. In this paper, we proposed a new multiplication circuit which a conventional basis for finite field GF(2^m). It is composed of AND gate and exclusive OR gate and is regular, simple, and expandable. So it is naturally suitable for VLSI implementation.
元東豪 成均館大學校 科學技術硏究所 1988 論文集 Vol.39 No.1
Recently, the finite field GF(2^m) is used in communication system, in particular the coder and the decoder of BCH code, and encipher and decipher of cryptosystem. Since arithmatic circuits and basis conversion circuits for GF(2^m) play on important role in them. In this paper, the basis properties of GF(2^m) are studied and primitive polynomials and primitive polynomials with a normal basis for GF(2) are found to the fifteenth order. And basis conversion circuit was designed by PLA in primitive polynomial with a normal basis, x^4 + x^3 + 1 and its operation was verified.
Galios Field 上의 非線形聯立方程式과 正則行列을 利用한 公開 Key 暗號方式
元東豪 成均館大學校 科學技術硏究所 1986 論文集 Vol.37 No.1
We propose a new method for constructing the public-key cryptosystem which is consisted of nonsingular matrix and nonlinear equations to be elements in upper triangular matrix over GF(P). The encipher key and the decipher key can be easily obtained with the multiplication of matrices over GF(P). We verified the new public-key cryptosystem with a small example of the order 4 of a nonsingular matrix over GF(17).
元東豪 成均館大學校 科學技術硏究所 1983 論文集 Vol.34 No.2
The audible tones between switching systems of Korea are not only unfit for CCITT Recommendation Q35, but also different in the Specification and the sense of hearing. Therefore the Subscriber and the operator may be Confused. In this paper, characteristics of the sense of hearing of them, ROM size in the digital tone generation of PCM switching system, and the accuracy of tones specification have been studied and new unified audible tone specifications were proposed.