Relationship of bandwidth and error rate. Suppose a router uses an I/O link technology that operates with an error rate of exp(−(t bit −200 ps)). The bit-time of the link is one over its frequency,...

Relationship of bandwidth and error rate. Suppose a router uses an I/O link technology that operates with an error rate of exp(−(t_bit−200 ps)). The bit-time of the link is one over its frequency,
Further, suppose the router has a requirement to operate with a flit error rate of less than 10⁻¹⁵. At what effective frequency (accounting for ECC overhead) can the link operate with (a) no retry, (b) retry using simple parity (that will detect any single-bit error), and (c) retry using an ECC that will detect any double-bit error. Use a flit payload of 64 bits, 1 bit of overhead for parity, and 6 bits of overhead for the double-error detecting code.