US Patent 9998539 Non-parity in grid encoded data storage systems

Techniques for encoding data storage systems using grid-encoded data storage systems with non-parity linear redundancy encoding schemes are described herein. A grid of shards with derived shards and data shards is generated that is indexed by a first index and a second index and is configured so that each shard is reproducible from other shards with the same first index and is also reproducible from other shards with the same second index. The grid of shards is further configured so that each data row of the grid of shards has at least two derived shards and at least twice as many data shards as derived shards.