I don't understand what the dot notation is. Is it like a multiplication operation or an addition operation or what? and how is that related to the Elliptic Curve Discrete Logarithm Problem? For example, this site is explaining an example of dotting two points on the Elliptic Curve
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(in letters) to denote point addition on an Elliptic Curve, and is about explanation how that works. I can't find any other source with that notation. It's commonly used $+$, and the article only uses another notation to distinguish point addition on the Elliptic Curve group from addition in the underlying field (I use $\boxplus$ to that effect here). – fgrieu Mar 02 '21 at 06:05