1. (6,3)Linear Code<br>
Generator matrix:<br>
    
   [1 0 0 1 0 1]<br>
   [0 1 0 1 1 0]<br>
   [0 0 1 0 1 1]<br>

parity check matrix:<br>
   [1 1 0 1 0 0]<br>
   [0 1 1 0 1 0]<br>
   [1 0 1 0 0 1]<br>
<br>
mapping:<br>
000 -> 000000<br>
001 -> 001011<br>
010 -> 010110<br>
011 -> 011101<br>
100 -> 100101<br>
101 -> 101110<br>
110 -> 110011<br>
111 -> 111000<br>

<a href=./waterfall.jpg>waterfall plot</a>

minimum Hamming distance dmin = 3 <br>
Hamming sphere radius t = [(dmin-1)/2] = 1 <br>
therefore, it's capable of correcting single-error <br>
Hamming bound 1 + 6 < 2^(6-3)=8; so it's not a perfect code.<br>
is it a Hamming code? <br>

2. Quine<br>
python quine<br>
a='a=%s;print a%%`a`';print a%`a`<br>

<A href=edit_index.html title="site_edit_link"><font size=1>edit</font></A>