A fast data synchronization method in optical inter-connected data center is proposed. The origin data are combined to fewer coded data to reduce the synchronization slots. The coded data are broadcast to other nodes. Each node decodes the coded data to recover its missing data. A coding strategy based on coding matrices is proposed for various data distribution. The parity-check matrices in error-control coding theory can be used as coding matrices. The synchronization slots are reduced by the proposed coding method, especially when the missing ratio is low. The slots can be further reduced when the coding field is extended to high-order galois fields.