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Systolic array implementation of multipliers for finite fields GF(2m)

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2 Author(s)
Chin-Liang Wang ; Inst. of Electr. Eng., Nat. Tsing Hua Univ., Hsinchu, Taiwan ; Jung-Lung Lin

A parallel-in-parallel-out systolic array and a serial-in-serial-out systolic array are proposed for fast multiplication in finite fields GF(2m) with the standard basis representation. Both of the architectures possess features of regularity, modularity, concurrency, and unidirectional data flow. As a consequence, they have high throughput rates and are well suited to VLSI implementation with fault-tolerant design. As compared to the related multipliers presented by C.S. Yeh et al. (see IEEE Trans. Comput., vol.C-33, p.357-360, Apr. 1984), the proposed parallel implementation makes it easier to incorporate fault-tolerant design, and the proposed serial implementation requires only one control signal instead of two

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Circuits and Systems, IEEE Transactions on  (Volume:38 ,  Issue: 7 )