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Division-and-accumulation over GF(2m)

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1 Author(s)
Hasan, M.A. ; Dept. of Electr. & Comput. Eng., Waterloo Univ., Ont., Canada

The Galois field division is a complex arithmetic operation. The corresponding division-and-accumulation (DAA) is not only complex but also a time consuming operation. In this article, the DAA over GF(2m) is considered, and a simple scheme for its sequential operation is presented. A multiple stream DAA structure is developed which supports pipeline operations and yields an increased throughput with only a modest increase in the hardware. As an application, the use of the sequential DAA algorithm is shown for the high speed encoding of Reed-Solomon codes

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Computers, IEEE Transactions on  (Volume:46 ,  Issue: 6 )