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What is the design doing? It has 99,000 LUTs and only 164 registers? It's the "everything talks to everything" topology that makes this design significanly more routing intensive then most designs. Sorry, but I don't think this is going to route as-is, and really don't know what could be done to make it better.
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I guess ECC is referring to elliptical curves cryptography?
To add some more guesses about the problems showing up: The said LUT to register relation indicates that you are implementing very complex LE chains without breaking them by pipeline registers. This suggests huge logic delays and low effective design speed.
Looks like an approach to implement an algorithm fully parallel that should be better realized in a partly sequential manner.
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