I'm having great trouble to understand this Web site. The earliest point that I don't understand is this:

 > a pattern with the string to be handled (here ck);


What is “ck” in “here ck”: the pattern (and the string to be handled is contained in ck, i.e., one of the four substrings of ck) or the string to be handled itself?

Sorry, I don’t understand what those “four substrings of ck” are,
but anyway, “ck” is a lua pattern, in this case matching the string
“ck”.

What exactly is the said replacement and what is the said list in { no = c, pre = k- },{} ?

As explained in the page, it defines a discretionary. The three
parameters of a discretionary are explained in the TeXbook, p. 95,
or:

http://latexref.xyz/_005cdiscretionary.html

Javier

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