과제정보
연구 과제 주관 기관 : National Research Foundation of Korea (NRF)
참고문헌
- R. Lidl and H. Niederreiter, An Introduction to Finite Fields and Their Applications, Cambridge: Cambridge University Press, 1986.
- A.J. Menezes et al., Applications of Finite Fields, Kluwer Academic, 1993.
- M. Leone, "A New Low Complexity Parallel Multiplier for a Class of Finite Fields," Proc. 3rd Int. Workshop Cryptographic Hardware and Embedded Systems, LNCS 2162, 2001, pp. 160- 170.
- H. Fan and M.A. Hasan, "Subquadratic Computational Complexity Schemes for Extended Binary Field Multiplication Using Optimal Normal Bases," IEEE Trans. Computers, vol. 56, no. 10, Oct. 2007, pp. 1435-1437. https://doi.org/10.1109/TC.2007.1076
- D.W. Ash, I.F. Blake, and S.A. Vanstone, "Low Complexity Normal Bases," Discrete Appl. Mathematics, vol. 25, no. 3, 1989, pp. 191-210. https://doi.org/10.1016/0166-218X(89)90001-2
- H. Fan and M.A. Hasan, "A New Approach to Subquadratic Space Complexity Parallel Multipliers for Extended Binary Fields," IEEE Trans. Computers, vol. 56, no. 2, Feb. 2007, pp. 224-233. https://doi.org/10.1109/TC.2007.19
- C.H. Kim et al., "Modified Serial Multipliers for Type-IV Gaussian Normal Bases," INDOCRYPT, LNCS 3797, 2005, pp. 375-388.
- J. Adikari et al., "Improved Area-Time Tradeoffs for Field Multiplication Using Optimal Normal Bases," IEEE Trans. Computers, vol. 62, no. 1, Jan. 2013, pp. 193-199. https://doi.org/10.1109/TC.2011.198
- L. Gao and G.E. Sobelman, "Improved VLSI Designs for Multiplication and Inversion in GF(2M) over Normal Bases," Proc. 13th Annual IEEE Int. ASIC/SOC Conf., 2000, pp. 97-101.
- A. Reyhani-Masoleh and M.A. Hasan, "A New Construction of Massey-Omura Parallel Multiplier over GF(2m)," IEEE Trans. Computers, vol. 51, no. 5, 2002, pp. 511-520. https://doi.org/10.1109/TC.2002.1004590
- A. Reyhani-Masoleh, "Efficient Algorithms and Architectures for Field Multiplication Using Gaussian Normal Bases," IEEE Trans. Computers, vol. 55, no. 1, 2006, pp. 34-47. https://doi.org/10.1109/TC.2006.10
- C.H. Kim, S. Kwon, C.P. Hong, "FPGA Implementation of High Performance Elliptic Curve Cryptographic Processor over GF(2163)," J. Syst. Architecture, vol. 54, no. 10, 2008, pp. 893- 900. https://doi.org/10.1016/j.sysarc.2008.03.005
- R. Azarderakhsh and A. Reyhani-Masoleh, "A Modified Low Complexity Digit-Level Gaussian Normal Basis Multiplier," Proc. 3rd Int. Workshop Arithmetic Finite Fields, LNCS 6087, 2010, pp. 25-40.
피인용 문헌
- Reduction of space complexity based on symmetric TMVP vol.51, pp.9, 2013, https://doi.org/10.1049/el.2015.0014
- Low Complexity Multiplier Based on Dickson Basis Using Efficient Toeplitz Matrix-Vector Product vol.ea98, pp.11, 2013, https://doi.org/10.1587/transfun.e98.a.2283
- Subquadratic space complexity Gaussian normal basis multipliers over GF(2m) based on Dickson–Karatsuba decomposition vol.9, pp.5, 2013, https://doi.org/10.1049/iet-cds.2014.0276
- Efficient Multiplication Based on Dickson Bases over Any Finite Fields vol.99, pp.11, 2013, https://doi.org/10.1587/transfun.e99.a.2060
- Gaussian normal basis multiplier over GF(2m) using hybrid subquadratic-and-quadratic TMVP approach for elliptic curve cryptography vol.11, pp.6, 2013, https://doi.org/10.1049/iet-cds.2017.0015
- High‐throughput Dickson basis multiplier with a trinomial for lightweight cryptosystems vol.12, pp.5, 2013, https://doi.org/10.1049/iet-cdt.2017.0209