Multiplication and inversion over a class of GF(2m)

TitleMultiplication and inversion over a class of GF(2m)
Publication TypeConference Paper
Year of Publication1991
AuthorsHasan, M. A., and V. K. Bhargava
Conference NameCommunications, Computers and Signal Processing, 1991., IEEE Pacific Rim Conference on
Pagination211 -214 vol.1
Date Publishedmay.
Keywordsfield elements, finite fields, Galois fields, GF(2m), high-speed configuration, inversion, irreducible all one polynomials, matrices, matrix algebra, multiplication, parallel multiplier, polynomials

Finite fields GF(2m) generated by irreducible all one polynomials are considered. Field elements are represented by a canonical basis. For such representation, a structure for parallel multiplier is presented. The structure is modular, and suitable for VLSI implementation. Sequential computation of inverses of the field elements is also considered and a high-speed configuration is presented


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