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| A New Method for Optimizing Cubic Arithmetic Circuit in GF(3m) |
| WANG Xiao-Ding, CAO Zhen-Fu |
| (Department of Computer Science and Engineering, Shanghai Jiaotong University,Shanghai 200240, China) |
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Abstract This paper proposed a new method for generating an optimized circuit for cubic arithmetic in Galois field GF(3m). After applying the method on 580 different cubic arithmetic circuits in Galois field GF(3m), the statistical data shows that for xm+ptxt+x0,m<256 most irreducible polynomials, our method can generate a cubic arithmetic circuit with less than 1.35m adders. For 212 irreducible polynomials, our method can generate a cubic arithmetic circuit with less than m adders.
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Received: 15 December 2011
Published: 30 November 2012
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