Abstract: A controller device is configured to communicate with storage nodes of a distributed storage system (DSS) in which erasure codes are used to encode source data onto the storage nodes and ranks of matrices containing coding coefficients associated with the erasure codes indicate whether repairs of failed storage nodes of the DSS are feasible. A decomposition structure is generated to be used as a guide for transforming the matrices to upper triangle form (UTF) for use in computing the ranks of the matrices. While the DSS is operating to perform repairs of the failed storage nodes, as part of determining feasible repair strategies that will preserve subsequent repairs of failed storage nodes, the ranks of the matrices are computed by transforming the matrices to UTF using operations on the submatrices according to the decomposition structure.

Abstract: A controller device is configured to communicate with storage nodes of a distributed storage system (DSS) in which erasure codes are used to encode source data onto the storage nodes and ranks of matrices containing coding coefficients associated with the erasure codes indicate whether repairs of failed storage nodes of the DSS are feasible. A decomposition structure is generated to be used as a guide for transforming the matrices to upper triangle form (UTF) for use in computing the ranks of the matrices. While the DSS is operating to perform repairs of the failed storage nodes, as part of determining feasible repair strategies that will preserve subsequent repairs of failed storage nodes, the ranks of the matrices are computed by transforming the matrices to UTF using operations on the submatrices according to the decomposition structure.

Abstract: In one embodiment, a buffering server transfers a dynamic burst transfer of data encoded using an inter-coded compression technique. The dynamic burst transfer is timed so that an initial transfer rate is reduced to a remaining transfer rate at the same time or before a decoding endpoint joins a corresponding data stream. The decoding endpoint merges the video stream and the dynamic burst transfer to decode and quickly reconstruct a displayable video frame.

Abstract: Optimizations for rapid channel changes may be provided. In response to a channel change request, rate shaping may be used to provide a unicast packet stream at a first transmission rate for a first time interval before reducing the rate of the unicast packet stream to a lower transmission rate for a second time interval. During the second time interval, a multicast packet stream may be joined and the video frames associated with the unicast packet stream, which may lag behind the multicast packet stream, and the multicast packet stream may be synchronized.

Abstract: In one embodiment, a buffering server transfers a dynamic burst transfer of data encoded using an inter-coded compression technique. The dynamic burst transfer is timed so that an initial transfer rate is reduced to a remaining transfer rate at the same time or before a decoding endpoint joins a corresponding data stream. The decoding endpoint merges the video stream and the dynamic burst transfer to decode and quickly reconstruct a displayable video frame.