We present a new technique for using catalytic space to simulate space-bounded randomized algorithms.
Allocate one bit on the catalytic tape for each configuration of a randomized machine.
Simulate the machine several times.
Each time it requests a random bit, use the bit from the catalytic tape corresponding to its ... more >>>

In the last year, there have been some remarkable improvements in the combinatorial list-size bounds of Folded Reed Solomon codes and multiplicity codes. Starting from the work on Kopparty, Ron-Zewi, Saraf and Wootters (and subsequent simplifications due to Tamo), we have had dramatic improvements in the list-size bounds of FRS ... more >>>

We initiate the study of error correcting codes over the multi-party adversarial broadcast channel. Specifically, we consider the classic information dissemination problem where $n$ parties, each holding an input bit, wish to know each other's input. For this, they communicate in rounds, where, in each round, one designated party sends ... more >>>