**Commenced**in January 2007

**Frequency:**Monthly

**Edition:**International

**Paper Count:**30836

##### Efficient Semi-Systolic Finite Field Multiplier Using Redundant Basis

**Authors:**
Kee-Won Kim,
Hyun-Ho Lee

**Abstract:**

**Keywords:**
Cryptography,
systolic array,
Montgomery multiplication,
finite field

**Digital Object Identifier (DOI):**
doi.org/10.5281/zenodo.1126730

**References:**

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[9] K. W. Kim and W. J. Lee, “Efficient cellular automata based Montgomery AB2 multipliers over GF(2m),” IETE Technical Review, vol. 31, no. 1, pp. 92-102, May 2014.

[10] K. W. Kim and J. C. Jeon, “Polynomial basis multiplier using cellular systolic architecture,” IETE Journal of Research, vol. 60, no. 2, pp. 194-199, Jun. 2014.

[11] S. H. Choi and K. J. Lee, “Low complexity semisystolic multiplication architecture over GF(2m),” IEICE Electron. Express, vol. 11, no. 20, pp. 20140713, Oct. 2014.

[12] K. W. Kim and J. C. Jeon, “A semi-systolic Montgomery multiplier over GF(2m),” IEICE Electonics Express, vol. 12, no. 21, pp. 20150769, Nov. 2015.

[13] C. W. Chiou, C. Y. Lee, A. W. Deng, and J. M. Lin, “Concurrent error detection in Montgomery multiplication over GF(2m),” IEICE Trans. Fund. Electron. Commun. Comput. Sci., vol. E89-A, no. 2, pp. 566-574, Feb. 2006.

[14] W.T. Huang, C.H. Chang, C.W. Chiou and F.H. Chou, “Concurrent error detection and correction in a polynomial basis multiplier over GF(2m),” IET Inf. Secur., vol. 4, no. 3, p. 111-124, Sep. 2010.

[15] K. W. Kim and S. H. Kim, “A low latency semi-systolic multiplier over GF(2m),” IEICE Electron. Express, vol. 10, no. 13, pp. 20130354, July 2013.

[16] C. Y. Lee, C. W. Chiou and J. M. Lin, “Concurrent error detection in a polynomial basis multiplier over GF(2m),” J. Electron. Test., vol. 22, no. 2, pp. 143-150, Apr. 2006.

[17] R. Lidl and H. Niederreiter, Introduction to Finite Fields and Their Applications. Cambridge Univ. Press, 1986.

[18] H. Wu, M.A. Hasan, I.F. Blake and S. Gao, “Finite field multiplier using redundant representation,” IEEE Trans. Comput. Vol.51, No.11, pp.1306-1316, 2002.

[19] A. H. Namin, H. Wu and M. Ahmadi, “A New Finite Field Multiplier Using Redundant Representation”, IEEE Trans. Computers, Vol.57, No.5, pp. 716-720, May 2008.