Brief Announcement: Efficient Perfectly Secure Communication over Synchronous Networks

The achieving of perfectly secure communication over synchronous networks was studied. In this regard, a communication problem related with a connected synchronous 2-way network was discussed, such that the under study work improved the bit-complexity. The discussed protocols communicated the bits for a specified bit secret message with optimum fault-tolerance. The relevant theorems and claims made to improve the bit-complexity were proved.