Can one speed up TCP transmission of packets if the no.of bits in sequence field and no. Of bits in acknowledgement field are reduced ? If yes , then how much time is saved? Mathematical equations for solution would help.
The sequence/ack fields need to be considerably larger than any possible send window to avoid ambiguity. If you redesign TCP with those fields reduced you end up with a small send window, resulting in poor performance with high bandwidth & high latency connections (LFNs).
The send window needs to be able to get as large as the product of bandwidth and round-trip time, or you limit throughput to window size divided by RTT.