q3 - th step of the giant list and the 16 th step of the...

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3. We choose a bound about square root 6917: N=84. Then we makes two lists; the first increase the exponent only by one each time. While the second increase the exponent by a multiple of N each time. Baby step list: 1,2,4,8,16,32,64,128,256,512,1024,2048,4096,1275,2550,5100,3283(16 th ) Giant step list: 329,472,3137,611,3841,6814,3111,5157,1785,1825,684,3315,1413,6211,3912,1636,6594(16 th ) >>>> 3283(62th) We have a match between the 62
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Unformatted text preview: th step of the giant list and the 16 th step of the baby list. We can therefore write 2 16 329*2-84*62 (mod 6917) which implies that 2 5224 329(mod 6917) and so the solution for x is 5224. This can be verified directly now. So we can get j=16 k=62 2 16+84*62 329 (mod 6917) So we get 21 5224 329 (mod 6917) The Maple routine looks like this: ) 6917 (mod 2 * 329 2 84 k j ) 6917 (mod 329 2 84 k j > >...
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This note was uploaded on 10/03/2011 for the course SIT 281 taught by Professor Vickymak during the Three '09 term at Deakin.

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q3 - th step of the giant list and the 16 th step of the...

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