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A Modified Massey-Omura Parallel Multiplier for a Class of Finite Fields
October 1993 (vol. 42 no. 10)
pp. 1278-1280

A Massey-Omura parallel multiplier of finite fields GF(2/sup m/) contains m identical blocks whose inputs are cyclically shifted versions of one another. It is shown that for fields GF(2/sup m/) generated by irreducible all one polynomials, a portion of the block is independent of the input cyclic shift; hence, the multiplier contains redundancy. By removing the redundancy, a modified parallel multiplier is presented which is modular and has a lower circuit complexity.

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Index Terms:
Massey-Omura parallel multiplier; finite fields; cyclically shifted versions; polynomials; input cyclic shift; redundancy; lower circuit complexity; digital arithmetic; multiplying circuits; polynomials.
M.A. Hasan, M.Z. Wang, V.K. Bhargava, "A Modified Massey-Omura Parallel Multiplier for a Class of Finite Fields," IEEE Transactions on Computers, vol. 42, no. 10, pp. 1278-1280, Oct. 1993, doi:10.1109/12.257715
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