Please help me about this problem.
What's the relationship between $|a \cdot b|$ and $|a|$,$|b|$?
For Example:
$$\begin{align}a&=\{11,0,1\} \\ b&=\{0,10\}\\ |a|&=3\\ |b|&=2\\ a\cdot b&=\{110, 1110,00,010,10,110\} = \{110,1110,00,010,10\}\end{align}$$
So: $|a \cdot b| = 5$ but if $b=\{0,110\}$ then $a \cdot b=\{110,11110,00,0110,10,1110\}$ So: $|a \cdot b|=6$
How to make a formula for it?