Systems, methods and computer program products including features for coding and/or recovering data

A method of transforming data involving a secure format from which the data is recoverable, the method comprising:

• producing W data inputs from input data;
• generating H discrete output data streams from the W data inputs via application of the W data inputs to one or more transforming components that perform a transformation process that applies a generator matrix having a matrix structure characterized as being invertible in all subsets of the matrix structure encounterable during recovery operations of the input data based on a recovery matrix, wherein H≧W and the transformation process includes:
• for each of the W inputs, producing an H-sized intermediary;
• combining all H-sized intermediaries into one H-sized result;
• and
• processing the one H-sized result into the H discrete output data streams;
• thereby producing transformed output data characterized in that:
• none of the H output data streams corresponds to any W data input plain text;
• and
• any subset of the H output data streams with cardinality less than or equal to H−W is recoverable from all remaining members of the H output data streams without knowledge/recovery of plain text of the input data;
• wherein the W data inputs are recoverable via a recovery process capable of producing the W data inputs from any W members of the H output data streams.

A method of transforming data involving a secure format from which the data is recoverable, the method comprising:

• producing W data inputs from input data;
• generating H output data streams from the W data inputs via application of the W data inputs to one or more transforming components that perform a transformation process that applies a generator matrix having a matrix structure characterized as being invertible in all subsets of the matrix structure encounterable during recovery operations of the input data based on a recovery matrix, wherein H≧W and the transformation process includes:
• for each of the W inputs, producing an H-sized intermediary;
• combining all H-sized intermediaries into one H-sized result;
• and
• processing the one H-sized result into the H output data streams, wherein none of the H output data streams corresponds to any W data input plain text;
• and
• storing the H output streams in disparate data stores, wherein no single data store contains output streams sufficient to recover the input data, such that the destruction of or loss of connectivity to or otherwise unavailability any quantity of the data stores from 1 through H−W does not impede the ability to recover the stored data;
• wherein the W data inputs are recoverable via a recovery process capable of producing the W data inputs from any W members of the H output data streams.

A method of transforming data involving a secure format from which the data is recoverable, the method comprising:

• receiving a first quantity (W) of data inputs produced from input data;
• generating a second quantity (H) of discrete output data streams from the W data inputs via application of the W data inputs to one or more transforming components that perform a transformation process using Galois field operations and a generator matrix having a matrix structure characterized as being invertible in all subsets of the matrix structure encounterable during recovery operations of the input data based on a recovery matrix, wherein:
• H≧W;
• the H discrete data output streams are generated in systematic format to each include portions of the input data;
• and
• the transformation process includes:
• for each of the W inputs, producing an H-sized intermediary;
• combining all H-sized intermediaries into one H-sized result;
• and
• processing the one H-sized result into the H discrete output data streams;
• storing the H discrete output data streams in H redundant arrays of independent storage devices such that loss of H−W of the devices does not result in a loss of data, wherein the input data cannot be recovered from information existing in fewer than W devices.

A method of transforming data involving a secure format from which the data is recoverable, the method comprising:

• receiving a first quantity (W) of data inputs produced from input data;
• generating a second quantity (H) of discrete output data streams from the W data inputs via application of the W data inputs to one or more transforming components that perform a transformation process using Galois field operations and a generator matrix having a matrix structure characterized as being invertible in all subsets of the matrix structure encounterable during recovery operations of the input data based on a recovery matrix, wherein:
• H≧W;
• the H discrete data output streams are regions or sectors generated in systematic format from the W data inputs;
• and
• the transformation process includes:
• for each of the W inputs, producing an H-sized intermediary;
• combining all H-sized intermediaries into one H-sized result;
• and
• processing the one H-sized result into the H discrete output data streams;
• and
• storing the H outputs within one or more storage devices such that the loss of one or more regions or sectors can be recovered from the remaining information.

A system of transforming data involving a secure format from which the data is recoverable, the system comprising:

• a processing component that produces a first quantity (W) of data inputs from input data;
• one or more transforming components that perform a transformation process on the W data inputs using Galois field operations and a generator matrix having a matrix structure characterized as being invertible in all subsets of the matrix structure encounterable during recovery operations of the input data based on a recovery matrix;
• a generating component that generates a second quantity (H) of output data streams from the W data inputs;
• wherein H is greater than, or greater than or equal to, W and the transformation process includes:
• for each of the W inputs, producing an H-sized intermediary;
• combining all H-sized intermediaries into one H-sized result;
• and
• processing the one H-sized result into the H output data streams, wherein the W data inputs are recoverable via a recovery process capable of reproducing the W data inputs from any subset of the H output data streams with cardinality W.