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A Base AOP Bit-Parallel Non-Systolic for $AB^2+C$ Computing Unit for $GF(2^m)$  

Hwang Woon-Taek (시립 인천전문대학)
Abstract
This paper proposes a non-systolic parallel $AB^2+C$ Computing unit based on irreducible AOP order m of $GF(2^m)$. Proposed circuit have only AND gates and EX-OR gates, composes of cyclic shift operation, multiplication operation power operation power-sum operation and addition operation using a merry irreducible AOP. Suggested operating a method have an advantage high speed data processing, low power and integration because of only needs AND gates and EX-OR gates. $AB^2+C$ computing unit has delay-time of $T_A+(1+[log^m_2])T_X$.
Keywords
$AB^2+C$; Cyclic Shift Systolic; AOP; Power-sum;
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Times Cited By KSCI : 1  (Citation Analysis)
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1 C. K. Koc, and B. Sunar, Low-Complexity Bit Parallel Canonical and Normal Basis Multipliers for a Class of Finite Fields, IEEE Trans. on Computer, vol. 47, no. 3, pp. 353-356. Mar. 1988   DOI   ScienceOn
2 C. Y. Lee, E. H. Lu, 'Low-Complexity Bit-Parallel Systolic Architecture for Computing $AB^{2}+C$ in a Class of Finite Field $GF(2^{m})$,' IEEE Trans. Comput., vol. 48, No. 5, May 2001
3 C. Y. Lee, J. Y. Lee, Bit-Parallel Systolic Multipliers for $GF(2^{m})$ Fields Defined by All-One and Equally Spaced Polynomials, IEEE Trans. Computers, vol. 50, No. 5, pp.385-393, May 2001   DOI   ScienceOn
4 C. S. Yeh, I.S. Reed, and T. K. Truong, Systolic Multipliers for Finite Fields $GF(2^{m})$, IEEE Trans. on Computers, vol. 33, no. 4, pp. 357-360, Apr. 1984   DOI   ScienceOn
5 변기영, '시스템 복잡도 개선을 위한 AOP 기반의 병렬 유한체 승산기' 한국통신학회 논문지 2003년 04월 Vol.29 No.3A
6 B. Sunar and C. K. Koc, Mastrovito Multiplier for All Trinomials, IEEE Trans. on Computers, vol. C-48, No.5, pp. 522-527, May 1999
7 T. Itoh, and S. Tsujii, 'Structure of Parallel Multipliers for a Class of Fields $GF(2^{m})$,' Information and Computation, vol. 83, pp. 21-40, 1989   DOI
8 E. D. Mastrovito, VLSI Architectures for Computation in Galois Fields, Ph.D thesis, Dept. of Electrical Eng. of Linkoping Univ., Sweden, 1991
9 G. L. Feng, A VLSI Architecture for Fast Inversion in $GF(2^{m})$, IEEE Trans. on Computers, vol. 38, no. 10, Oct. 1989