August 2011
Intermediate to advanced
332 pages
9h 10m
English
Content preview from Lattice Basis Reduction
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120 Lattice Basis Reduction
α β γ δ
1
δ
2
δ
3
∆ x
1
x
2
···x
14
x
15
i t h 9 20 8 5909 001011100010101
i n k 9 14 11 5756 0010110011 11100
c o m 3 15 13 1728 000011011000000
p u t 16 21 20 10679 010100110110111
e r a 5 18 1 3146 00011000100 1010
l g e 12 7 5 7596 001110 110101100
b r a 2 18 1 1118 000010001011110
i s r 9 19 18 58 93 0010111000001 01
e a l 5 1 1 2 2715 00 0101010011011
l y n 1 2 25 14 8073 00 1111110001001
i c e 9 3 5 5464 001010101011000
FIGURE 7.1
Encrypted message for Example 7.7
For exa mple, consider the mess age
i think computer algebra is really nice
We ignore the spaces and break this message into 3-letter blocks:
ith, ink, com, put, era, lge, br
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