To reduce storage overhead, cloud file systems are transitioning from replication to erasure
codes. This process has revealed new dimensions on which to evaluate the performance of …

RAID-6 codes protect disk array storage systems from two-disk failures. This article presents
a complete treatment of a class of RAID-6 codes, called minimum density RAID-6 codes, that …

In this paper, we present PDH Latin-a new class of 2-erasure horizontal codes with
dependent parity symbols based on column-Hamiltonian Latin squares (CHLS). We prove …

The RAID-6 architecture is playing an increasingly important role in modern storage
systems. There are generally two kinds of RAID-6 codes, horizontal codes and vertical …

A Latin square of order nn is an n× nn*n matrix of nn symbols, such that each symbol occurs
exactly once in each row and column. For an odd prime power qq let F q F_q denote the …

Let K n denote a complete graph on n vertices, where n is even. In recent works, geometric
methods (finite projective planes, regular gons in the Euclidean plane) have been …

We live in a “YouTube” age, in which an enormous amount of digital information is created
every day. The explosive surge of data poses a serious demand for cheaper, better, and …

Distributed data storages built on the (N, k) threshold scheme (modification of erasure
codes) are considered. Storages are represented as two-level trees. An expression for the …

Prior researches found several methods to construct 1-factorization using Steiner triple
systems [1], the staircase method of Bileski [2], and etc. But not given any method of …

Maximum distance separable (MDS) array codes are XOR-based optimal erasure codes that
are particularly suitable for use in disk arrays. This paper develops an innovative method to …