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GATE CSE 2023 Q50: Valid sequence number field lengths for a TCP-like protocol

Question

Suppose you are asked to design a new reliable byte-stream transport protocol like TCP. This protocol, named myTCP, runs over a 100 Mbps network with Round Trip Time of 150 milliseconds and the maximum segment lifetime of 2 minutes.

Which of the following is/are valid lengths of the Sequence Number field in the myTCP header?

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Answer: B, C, D (official GATE 2023 final answer key)

Concept used: Byte sequence numbers must not wrap around within one maximum segment lifetime.

First step: Compute the bytes sent in 2 minutes at 100 Mbps: 100×1068×120=1.5×109\frac{100 \times 10^6}{8} \times 120 = 1.5 \times 10^9.

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Source: official GATE 2023 CS question paper and final answer key, organised by IIT Kanpur. Question paper · Answer key