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FINDING SECURE ELLIPTIC CURVES OVER GF(2n) AND THEIR BASE POINTS |
Liu Shengli; Zheng Dong; Wang Yumin |
National Key Lab. on ISN Xidian University Xi 'an 710071 China |
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Abstract This paper systematically introduces how to find secure elliptic curves with the help of Weil theorem, and proposes an algorithm to find base points in the curves. Finally, an efficient method of finding the trace of any element in GF(2lk), which is involved in the algorithm of finding base points, is given.
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Received: 28 December 1998
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