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Litecoin uses scrypt and mutliple rounds of sha-256 for the proof of work. Are you referring to cryptographic signatures in general?

the hash functions are robust, though collisions are a concern

But my greater concern is in regard to nonce detection

>collisions are a concern

Could you elaborate? Probability of collisions should be very low.

> the hash functions are robust, though collisions are a concern

you are more likely to be eaten alive by ants, than witness a sha-256 collision with today's hardware

> But my greater concern is in regard to nonce detection

what does this mean? nonces here are used to prevent duplicate transactions.

But probabilities are subjective, if you build your home on a anthill your scenario's probability increases

Nonces are used to find hashes that satisfy a specific 'target' requirement