Communication based on Random Seed

I have a system with several users (they might have different system architectures) where users at given times send out a long random sequence (sampled from a specific uniform distribution) to a central node. I can think of two methods for doing this: creating a random sequence and transmitting the whole sequence and on the other hand, generate a random seed and only transmit the seed and length of the sequence.
Considering the significantly smaller communication overhead in the second approach I was wondering if it is practical and safe to use?