• The Journal of the Korea institute of electronic communication sciences
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• v.10 no.3
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• pp.387-393
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• 2015

In Electronic Commerce and Secret Communication based on ECC over finite field, if the sender and the receiver use different basis of finite fields, then the time of communication should always be delayed. In this paper, we analyze the number of bases-transformations needed for Electronic Signature in Electronic Commerce and Secret Communication based on ECC over finite field between H/W and S/W implementation systems and introduce the anomalous basis of finite fields using AOP which is efficient for H/W, S/W implementation systems without bases-transformations for Electronic Commerce and Secret Communication. And then we propose a new multiplier based on the anomalous basis of finite fields using AOP which reduces the running time by 25% than that of the multiplier based on finite fields using trinomial with polynomial bases.