Towards Coding for Maximum Errors in Interactive Communication

Swagato Sanyal
Wednesday, 30 Nov 2011, 14:00 to 15:00
A-212 (STCS Seminar Room)
We show that it is possible to encode any communication protocol between two parties so that the protocol succeeds even if a (1/4 − epsilon) 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 − epsilon fraction of errors.