Encrypting and decrypting information

A decryption method implemented in hardware, in software, or in a combination thereof, the method comprising:

• receiving ciphertext of a key, wherein the ciphertext of the key comprises a binary sequence of length L that represents topological structures in patterns of activity in a recurrent artificial neural network, wherein the patterns of activity are responsive to an input into the recurrent artificial neural network;
• repeatedly implementing a permutation of a set of all binary codewords of length L, wherein the implemented permutation is a function from the set of binary codewords of length L to itself that is injective and surjective, and implementing the permutation generates a plurality of codewords along a cycle;
• comparing each of the plurality of codewords to the ciphertext to identify a matching of the plurality of codewords;
• designating a codeword preceding the matching of the plurality of codewords along the cycle as the key corresponding to the ciphertext of the key;
• and
• decrypting ciphertext of plaintext using the key to reconstitute the plaintext.

An encryption device comprising one or more computers and one or more storage devices storing instructions that are operable, when executed by the one or more computers, to cause the one or more computers to perform encryption operations, the encryption operations comprising:

• encrypting plaintext using a key to generate ciphertext of the plaintext, wherein the key comprises topological structures in patterns of activity in a recurrent artificial neural network, wherein the patterns of activity are responsive to an input;
• representing the topological structures in a binary sequence of length L;
• and
• implementing a permutation of a set of all binary codewords of length L to obtain ciphertext of the key, wherein the implemented permutation is a function from the set of binary codewords of length L to itself that is injective and surjective.

A decryption device comprising one or more computers and one or more storage devices storing instructions that are operable, when executed by the one or more computers, to cause the one or more computers configured to perform decryption operations, the decryption operations comprising:

• receiving ciphertext of a key, wherein the ciphertext of the key comprises a binary sequence of length L that represents topological structures in patterns of activity in a recurrent artificial neural network, wherein the patterns of activity are responsive to an input into the recurrent artificial neural network;
• repeatedly implementing a permutation of a set of all binary codewords of length L, wherein the implemented permutation is a function from the set of binary codewords of length L to itself that is injective and surjective, and implementing the permutation generates a plurality of codewords along a cycle;
• comparing each of the plurality of codewords to the ciphertext to identify a matching of the plurality of codewords;
• designating a codeword preceding the matching of the plurality of codewords along the cycle as the key corresponding to the ciphertext of the key;
• and
• decrypting ciphertext of plaintext using the key to reconstitute the plaintext.