Actually I was giving you credit, that you would understand the relationship between 'gain of information' and 'nonsense' as commonly used in genetic studies relating to the addition of new genetic information.
If not I am happy to elaborate:
An insertion mutation is a gain of information, in the Shannon sense at least
e.g.
The quick brown fox jumps over the lazy dog
The quick brown fox jdumps over the lazy dog
The information volume here has
increased, but the specificity of the information has
decreased, (we don't know if the fox is jumping or dumping

)
But digital information systems like DNA are far more sensitive to the functional information being destroyed entirely:
DNA uses
codons, groups of three nucleotides as a way to use 4 bases to code for 20 amino acids.
Very much like computers use ASCII code, groups of 16 bits, as a way to use 2 bases to code for 100+ characters.
So in practice, inserting one extra bit of information in the ASCII version of the sentence, would produce something more like
The quick brown fox jiSDh&d_+8$gIDsK#-~>yU
Because all the information following the insertion is now effectively scrambled- because of the shift in the frame of reference for each 16 bit sequence of ASCII code. The exact same principle applies in DNA frame of reference shifts.
And this is exactly why geneticists refer to insertion/ frame shift mutations as '
nonsense' mutations.