Information security based on eigendecomposition

An apparatus comprising:

• a data formatting module configured to format data into at least a first data matrix;
• an encoding module configured to determine, based upon eigendecomposition of the first data matrix, at least a first component matrix and a second component matrix, the first component matrix having a canonical form;
• and
• a message generator configured to
• generate a first message based upon the first component matrix, and generate a second message based upon the second component matrix, wherein the first and second messages comprise separately transmittable indecipherable parts of the data.

One or more machine-readable media having stored therein a program product, which when executed a set of one or more processor units causes the set of one or more processor units to perform operations that comprise:

• formatting data into at least a first data matrix;
• determining, based upon eigendecomposition of the first data matrix, at least a first component matrix and a second component matrix, the first component matrix having a canonical form;
• generating a first message based upon the first component matrix;
• and
• generating a second message based upon the second component matrix, wherein the first and second messages comprise separately transmittable indecipherable parts of the data.

A method comprising:

• formatting a binary data file as a series of complex floating point numbers;
• arranging the series of complex floating point numbers as a plurality of data matrices;
• for each data matrix of the plurality of data matrices:
• calculating the eigendecomposition of the data matrix to determine an eigenvalue matrix and an eigenvector matrix;
• determining whether the eigenvalue matrix has a canonical form with all zeros in the super diagonal, and if the eigenvalue matrix does not have all zeros in the super diagonal then modifying the data matrix by a predetermined constant and repeating said calculating and determining operations;
• processing the eigenvalue matrices and eigenvector matrices associated with the plurality of data matrices, said processing including at least one of shaping, compression, truncation, or encryption;
• and
• transmitting a first message based upon the processed eigenvalue matrices and a second message based upon the processed eigenvector matrices.

A method comprising:

• obtaining a first message and a second message, wherein the first and second messages comprise separate indecipherable parts of source data;
• parsing the first message and the second message to obtain at least a first component matrix and second component matrix, the first component matrix having a canonical form;
• determining a first data matrix, based upon eigencomposition of at least the first component matrix and the second component matrix;
• and
• recovering the source data based upon at least the first data matrix.

An apparatus comprising:

• a message parser configured to
• parse a first message to obtain a first component matrix, and
• parse a second message to obtain a second component matrix, the first component matrix having a canonical form, wherein the first and second messages comprise separate indecipherable parts of source data;
• a decoding module configured to determine a first data matrix based upon eigencomposition of at least the first component matrix and the second component matrix;
• and
• a data unformatting module configured to unformat at least the first data matrix to recover the source data;