Abstract: Described are various implementations using information security based on eigendecomposition. Eigendecomposition of the source data can result in a first part of the source data based on eigenvalues and a second part of the source data based on eigenvectors. The first part and the second part may be stored in separate file systems, may be used by collaborative applications, or may be shared using different medium. For example, an image may represent one part of the source data and may be combined with another part of the source data by a device with a camera. Collaborative applications may maintain separate parts of the source data and use eigencomposition to recover the source data during an active session.

Abstract: Provided is an eigendecomposition cipher. Input data is formatted into a numerical representation and arranged as a data matrix. Eigendecomposition is performed on the data matrix to determine at least a first component matrix (of eigenvalues) and a second component matrix (of eigenvectors). The eigendecomposition process is modified to ensure that the first component matrix has a diagonalized matrix of eigenvalues. Provided are additional features of shaping, compression, and message generation for an eigendecomposition-based cipher. A first message is generated based upon the first component matrix. A second message is generated based upon the second component matrix. The first and second messages comprise separate indecipherable parts of the input data. The first and second messages may be transmitted or stored separately such that the source data may not be recovered without both messages.

Abstract: Provided is an eigendecomposition cipher. Input data is formatted into a numerical representation and arranged as a data matrix. Eigendecomposition is performed on the data matrix to determine at least a first component matrix (of eigenvalues) and a second component matrix (of eigenvectors). The eigendecomposition process is modified to ensure that the first component matrix has a diagonalized matrix of eigenvalues. Provided are additional features of shaping, compression, and message generation for an eigendecomposition-based cipher. A first message is generated based upon the first component matrix. A second message is generated based upon the second component matrix. The first and second messages comprise separate indecipherable parts of the input data. The first and second messages may be transmitted or stored separately such that the source data may not be recovered without both messages.