| 摘要 |
A data/signal encryption/scrambling and decryption system and methods for constructing said system from irregular subspace leaping. A data/signal is mounted from the first/previous subspace to the second/subsequent subspace. A non-orthogonal complement subspace of the first/previous subspace in the second/subsequent subspace is generated, and spanned by the y-vectors. An encrypting/scrambling data component is generated by either a random combination of the said y-vectors, or by a projection of a partially coherent (with the given data/signal) data onto the span of y-vectors. The encrypting/scrambling is then carried out by combining the given data/signal with the said scrambling data component. The decryption method makes use of pseudoframes for subspace. A set of x-vectors associated with the said y-vectors are evaluated under the principle that the span of x-vectors is orthogonal to the span of y-vectors, and an orthogonal projection of the span of x-vectors covers the first/previous subspace. The said x-vectors forms a pseudoframe for the first/previous subspace. A dual pseudoframe sequence is determined and the decryption is carried out using the pseudoframe expansion with sequences x-vectors and its pseudoframe dual. The said method is fast since it operates on relatively small segments of the data set. The said method has the characteristics that the said scrambling data component is completely unknown to anyone including the message generator/sender, and the said non-orthogonal complementary subspaces have nearly infinite many choices. The combination of the above two uncertainties ensures high security of the present methods. |
