참고문헌
- R. Lidl and H. Niederreiter, Introduction to finite fields and its applications. Cambridge Univ. Press, 1994.
- A. J. Menezes, I. F. Blake, X. Gao, R. C. Mullin, S. A. Vanstone, and T. Yaghoobian, Applications of finite fields. Kluwer Academic, 1993.
- H. Wu and M.A. Hasan, "Low Complexity bit-parallel multipliers for a class of finite fields," IEEE Trans. Computers, vol. 47, no. 8, 1998, pp. 883-887. https://doi.org/10.1109/12.707588
- A. Reyhani-Maslleh and M. H. Hasan, "Efficient Digit Serial Normal Basis Multiplier over Binary Extension Fields," ACM Trans. Embedded Systems and Security, vol. 3, 2004, pp. 575-592. https://doi.org/10.1145/1015047.1015053
- B. Sunar and C. K. Koc, "An efficient optimal normal basis type II multiplier," IEEE Trans. Computers, vol. 50, no. 1, 2001, pp. 83-88. https://doi.org/10.1109/12.902754
-
C. C. Wang, T. K. Truong, H. M. Shao, L. J. Deutsch, J. K. Omura, and L. S. Reed, "VLSI architecture for computing multiplications and inverses in
$GF^(2^m)}$ ," IEEE Trans. Computers, vol. 34, no. 8, 1985, pp. 709-716. -
A. Reyhani-Masolleh and M. H. Hasan, "A new construction of Massey-Omura parallel multilplier over
$GF^(2^m)}$ ," IEEE Trans. Computers, vol. 51, no. 5, 2002, pp. 512-520. -
C.-H. Kim, S. Oh, and J. Lim, "A new hardware architecture for operations in
$GF^(2^m)}$ ," IEEE Trans. Computers, vol. 51, no. 1, 2002, pp. 90-92. https://doi.org/10.1109/12.980019 -
S.-J. Cho, J.-G. Kim, U.-S. Choi, and S.-T. Kim, "Cross-correlation of linear and nonlinear GMW-sequences generated by the same primitive polynomial on
$GF^(2^p)}$ ," The Korea Institute of Electronic Communication Sciences 2011 Spring Conf., vol. 5, no. 1, 2011, pp. 155-158. - H.-D. Kim, S.-J. Cho, M.-J. Kwon, and H.-J. An, "A study on the cross sequences," J. of The Korea Institute of Electronic Communication Sciences, vol. 7, no. 1, 2012, pp. 61-67.
- Y. Kim, "Fast Sequential Optimal normal Bases Multipliers over finite fields," J. of The Korea Institute of Electronic Communication Sciences, vol. 8, no. 8, 2013, pp. 1207-1212. https://doi.org/10.13067/JKIECS.2013.8.8.1207
-
M. Elia and M. Leone, "On the Inherent Space Complexity of Fast Parallel Multipliers for
$GF^(2^m)}$ ," IEEE Trans. Computers, vol. 51, no. 3, 2002. pp. 346-351. https://doi.org/10.1109/12.990131 - S. Gao Jr. and H. W. Lenstra, "Optimal normal bases," Designs, Codes and Cryptography, vol. 2, 1992, pp. 315-323. https://doi.org/10.1007/BF00125200
- Y. Kim, "A Fast Multiplier of Composite fields over finite fields," J. of The Korea Institute of Electronic Communication Sciences, vol. 6, no. 3, 2011, pp. 389-395.
- U.-S. Choi and S.-J. Cho, "Design of Binary Sequence with optimal Cross-correlation Values," J. of The Korea Institute of Electronic Communication Sciences, vol. 6, no. 4, 2011, pp. 539-544.