D. V. Bailey and C. Paar, Optimal extension fields for fast arithmetic in public-key algorithms, Lecture Notes in Computer Science, vol.1462, p.472, 1998.
DOI : 10.1007/BFb0055748

E. R. Berlekamp, Bit-serial Reed - Solomon encoders, IEEE Transactions on Information Theory, vol.28, issue.6, p.28, 1982.
DOI : 10.1109/TIT.1982.1056591

H. Cohen, A Course In Computational Algebraic Number Theory, volume GTM 138, 1993.

S. T. Fenn, M. Benaissa, D. Taylor, and . Gf, GF(2/sup m/) multiplication and division over the dual basis, IEEE Transactions on Computers, vol.45, issue.3, pp.319-327, 1996.
DOI : 10.1109/12.485570

S. Gao, Abelian Groups, Gauss Periods, and Normal Bases, Finite Fields and Their Applications, vol.7, issue.1, 2001.
DOI : 10.1006/ffta.2000.0304

URL : http://doi.org/10.1006/ffta.2000.0304

S. Gao, J. Von-zur-gathen, and D. Panario, Gauss periods and fast exponentiation in finite fields, Lecture Notes in Computer Science, vol.911, pp.311-322, 1995.
DOI : 10.1007/3-540-59175-3_98

S. Gao and H. W. Lenstra-jr, Optimal normal bases, Designs, Codes and Cryptography, vol.22, issue.4, pp.315-323, 1992.
DOI : 10.1007/BF00125200

S. Gao and D. Panario, Density of normal elements. Finite Fields and Their Applications, pp.141-150, 1997.

M. A. Hasan, H. Wu, and L. F. Blake, New Low-Complexity Bit-Parallel Finite Field Multipliers Using Weakly Dual Bases, IEEE Trans. Computers, p.47, 1998.

A. Halbutogullari and C. K. Koc, Mastrovito multiplier for general irreducible polynomials, IEEE Transactions on Computers, vol.49, issue.5, pp.503-518, 2000.
DOI : 10.1109/12.859542

M. A. Hasan, M. Z. Wang, and V. K. Bhargava, A modified Massey-Omura parallel multiplier for a class of finite fields, IEEE Transactions on Computers, vol.42, issue.10, pp.1278-1280, 1993.
DOI : 10.1109/12.257715

T. Itoh and S. Tsujii, A fast algorithm for computing multiplicative inverses in GF(2m) using normal bases, Information and Computation, vol.78, issue.3, pp.171-177, 1988.
DOI : 10.1016/0890-5401(88)90024-7

C. K. Koc and B. Sunar, Low-complexity bit-parallel canonical and normal basis multipliers for a class of finite fields, IEEE Transactions on Computers, vol.47, issue.3, pp.353-356, 1998.
DOI : 10.1109/12.660172

C. K. Koc and B. Sunar, An Efficient Optimal Normal Basis Type II Multiplier, IEEE Trans. Computers, p.50, 2001.

C. Lee and J. I. Lim, A New Aspect of Dual Basis for Efficient Field Arithmetic, Proceedings of the Second International Workshop on Practice and Theory in Public Key Cryptography, pp.12-28, 1999.
DOI : 10.1007/3-540-49162-7_2

J. L. Massey and J. K. Omura, Computational Method and Apparatus for Finite Field Arithmetic, 1986.

E. D. Mastrovito, VLSI architectures for computations in Galois fields, 1991.

R. C. Mullin, I. M. Onyszchuk, S. A. Vanstone, and R. M. Wilson, Optimal normal bases in GF(pn), Discrete Applied Mathematics, vol.22, issue.2, pp.149-161, 1989.
DOI : 10.1016/0166-218X(88)90090-X

A. Reyhani-masoleh and M. A. Hasan, A new construction of Massey-Omura parallel multiplier over GF(2/sup m/), IEEE Transactions on Computers, vol.51, issue.5, pp.511-520, 2002.
DOI : 10.1109/TC.2002.1004590

F. Rodriguez-henriquez and C. K. Koc, Parallel multipliers based on special irreducible pentanomials, IEEE Transactions on Computers, vol.52, issue.12, 2003.
DOI : 10.1109/TC.2003.1252850

J. H. Silverman, Low complexity multiplication in rings

B. Sunar and C. K. Koc, Mastrovito multiplier for all trinomials, IEEE Transactions on Computers, vol.48, issue.5, 1999.
DOI : 10.1109/12.769434