  Future networks are expected to support various ultra-reliable low-latency
communications via wireless links. To avoid the loss of packets and keep the
low latency, sliding network coding (SNC) is an emerging technology by
generating redundant packets that are the linear combination of the original
data packets from the current block and some previous blocks. However, how to
take the advantage of re-transmission for SNC is still an open problem since
higher reliability could be achieved at the expense of large latency caused by
round-trip time (RTT). To deal with this issue, in this paper, we consider the
idea of adjusting the transmission phase and the number of the redundant
packets for SNC with re-transmission. Specifically, If RTT is large, most of
the redundant packets are sent at the first transmission, otherwise,
re-transmission will be used. We first derive a concise and tight lower bound
of the block error probability of SNC without re-transmission. Then, based on
the bound, the theoretical expressions of the proposed re-transmission schemes
are derived regarding the block error probability, the average code length, and
the average packet latency. Results show that the proposed SNC with
re-transmission improves block error probability and keeps the low latency.
