Given any r and n, we present an explicit construction of high-rate maximum distance
separable (MDS) array codes that can optimally repair any d failed nodes from any h helper …

Maximum distance separable (MDS) codes are optimal error-correcting codes in the sense
that they provide the maximum failure tolerance for a given number of parity nodes. Suppose …

Consider a binary maximum distance separable (MDS) array code composed of an mx (k+ r)
array of bits with k information columns and r parity columns, such that any k out of k+ r …

The repair problem in distributed storage addresses recovery of the data encoded using an
erasure code, for instance, a Reed-Solomon (RS) code. We consider the problem of …

Binary maximum distance separable (MDS) array codes are a special class of erasure
codes for distributed storage that not only provides fault tolerance with minimum storage …

Maximum-distance separable (MDS) array codes with high rate and an optimal repair
property were introduced recently. These codes could be applied in distributed storage …

The repair bandwidth of a code is the minimum amount of data required to repair one or
several failed nodes (erasures). For MDS codes, the repair bandwidth is bounded below by …

Binary maximum distance separable (MDS) array codes are a special class of erasure
codes for distributed storage that not only provide fault tolerance with minimum storage …

Partial maximum distance separable (PMDS) codes are a kind of erasure codes where the
nodes are divided into multiple groups with each forming an MDS code with a smaller code …

An array code has k information coordinates and parity coordinates, where each coordinate
is a vector in for some finite field. An MDS array code has the additional property that any k …