Towards Coding for Maximum Errors in Interactive Communication

We show that it is possible to encode any communication protocol between two parties so that the protocol succeeds even if a (1/4 − ǫ) fraction of all symbols transmitted by the parties are corrupted adversarially, at a cost of increasing the communication in the protocol by a constant factor (the constant depends on epsilon). This encoding uses a constant sized alphabet. This improves on an earlier result of Schulman, who showed how to recover when the fraction of errors is bounded by 1/240. We also show how to simulate an arbitrary protocol with a protocol using the binary alphabet, a constant factor increase in communication and tolerating a 1/8 − ǫ fraction of errors.

• Type: Journal
• Year: 2010
• Where: ECCC
• Authors: Mark Braverman, Anup Rao
• Keywords: Communication, Communication Protocol, Constant Factor, ECCC 2010