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A link layer protocol is designed which has assigned a sequence number to every byte of data transmitted over a point-to-point link. The link length is $3000\,\text{km}$, the bandwidth is $10^8\,\text{bits/s}$, and the propagation delay is $5\,\text{ns/m}$. The following conditions must be satisfied:

  1. The wraparound time of the sequence numbers should not be less than $60\,\text{s}$.
     
  2. The protocol should ensure maximum utilization of the link.
     

Determine the minimum number of bits required in the sequence number field.

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