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Efficient bit-serial multiplication and the discrete-time Wiener-Hopf equation over finite fields

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3 Author(s)
Morii, M. ; Dept. of Electron. & Inf. Sci., Kyoto Inst. of Technol., Japan ; Kasahara, M. ; Whiting, D.L.

Discrete-time Wiener-Hopf equations (DTWHEs) over finite fields are considered. It is shown that solving the DTWHE is equivalent to performing division over finite fields. The proof provides a new interpretation of the relationship between bit-serial multiplication and DTWHEs. The interpretation enables bit-serial multiplication over GF(2 m) to be understood more easily. As an example, bit-serial multiplication methods for multiplying any two elements that can be done without performing any transformation, or with only a simple transformation of the bases, are presented

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Information Theory, IEEE Transactions on  (Volume:35 ,  Issue: 6 )