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In distributed antenna networks, the received signal from different transmitters can be asynchronous due to the processing or propagation delays. This destroys the space time code properties designed initially for synchronous case. We introduce, in this paper, a new design method to construct optimal-rate delay-tolerant codes from existing synchronous codes for a certain number of delay profiles that can exist in the network. Some construction examples based on optimal known codes are proposed and it is shown that they achieve full diversity for synchronous and some asynchronous cases. Their performance is compared to other delay tolerant codes.