Reed–Muller code: Difference between revisions

Revision as of 13:17, 21 November 2022

Revision as of 13:49, 21 November 2022

Line 48:

+ (0\cdot Z_1 Z_2 + 1\cdot Z_1Z_3 + 0\cdot Z_1Z_4 + 1\cdot Z_2Z_3 + 0\cdot Z_2Z_4+ 1\cdot Z_3Z_4)\\

&=1+Z_1+Z_3+Z_1Z_3+Z_2Z_3+Z_3Z_4

\end{align}</math>Then it evaluates this polynomial at all 16 evaluation points (0101 means <math>X_1Z_1=0, X_2Z_2=1, X_3Z_3=0, X_4Z_4=1)</math>:

<math display="block">

p_x(0000)= 1,\;