1 |
W. W. Peterson and E. J. Weldon, Error-Correcting Codes, Cambridge, MA: MIT Press, 1972
|
2 |
D. E. R. Denning, Cryptography and data security, Reading, MA: Addison-Wesley, 1983
|
3 |
I. S. Reed and T. K. Truong,' The use of finite fields to compute convolutions,' IEEE Trans. Inform. Theory, vol. IT-21, pp.208-213, Mar. 1975
|
4 |
E. R. Berlekamp, Algebraic Coding Theory, New York: McGraw-Hill, 1968
|
5 |
R. Lidl, H. Niederreiter, and P. M. Cohn, Finite Fields (Encyclopedia of Mathematics and Its Applications), Cambridge University Press, 1997
|
6 |
A. M. Odlyzko, 'Discrete logarithms in finite fields and their cryptographic significance,' in Adv. Cryptol., Proc. Eurocrypt 84, Paris, France, pp.224-314, Apr. 1984
|
7 |
W. Diffie and M. Hellman,' New Directions in Cryptography,' IEEE Trans. on Info. Theory, vol. 22, pp.644-654, 1976
DOI
|
8 |
D. E. Knuth, The art of Computer Programing. Volume 2: Seminumerical Algorithms, Addison-Wesley, Reading, Massachusetts, 2nd edition, 1997
|
9 |
R.L. Rivest, A. Shamir, and L. Adleman, 'A Method for Obtaining Digital Signatures and Public-key Cryptosystems,' Comm. ACM. vol. 21, pp. 120-126, 1978
DOI
ScienceOn
|
10 |
A.J. Menezes, Elliptic Curve Public Key Cryptosystems, Boston, MA: Kluwer Academic Publishers, 1993
|
11 |
T. Itoh and S. Tsujii, Structure of parallel multipliers for a class of fields GF(), Info. Comp., vol. 83, pp. 21-40, 1989
DOI
|
12 |
C. L. Wang and Y. H. Guo,' New Systolic for , Inversoin and Division in GF(2m),' IEEE Trans. on Computres, Vol.49, No.10, pp.1120-1125, Otc. 2000
DOI
ScienceOn
|
13 |
S.-W. Wei, VLSI architectures for computing exponentiations, multiplications, multiplicative inverses, and divisions in GF(), IEEE Trans. Circuit & Syst.-: Analog and Digital Signal Processing, vol.44, no.10, pp.847-855, Oct. 1997
DOI
ScienceOn
|
14 |
N. Y. Kim, H. S. Kim, and K. Y. Yoo, Efficient Systolic Architectures for AB^2 Multiplication in , Will be published to LNCS, May 2002
|
15 |
S.T.J. Fenn, M.G. Parker, M. Benaissa, and D. Tayler, Bit-serial multiplication in GF() using irreducible all-one opolynomial, IEE Proc. Comput. Digit. Tech., vol. 144, no.6 pp. 391-393, 1997
DOI
ScienceOn
|
16 |
H.S. Kim, Bit-Serial AOP Arithmetic Architecture for Modular Exponentiation, Ph.D. Thesis, Kyungpook National University, 2002
|
17 |
C.H. Liu, N.F. Huang, and C.Y. Lee, Computation of Multiplier in GF() Using an Efficient Low-Complexity Cellular Architecture, IEICE Trans. Fundamentals, vol. E83-A, no.12, pp. 2657-2663, 2000
|