Abstract: Disclosed is an on-board backup and anti-spoofing GPS (“OBASG”) system for navigating a vehicle through an environment with a GPS receiver. The GPS receiver is configured to receive GPS signals within the environment where the GPS signals may suffer a GPS outage or are unreliable within the environment. In general, the OBASG includes a GPS block-chain recorder, a block-chain storage module, an anti-spoofing module, and a backup navigation module.

Abstract: Disclosed is an on-board backup and anti-spoofing GPS (“OBASG”) system for navigating a vehicle through an environment with a GPS receiver. The GPS receiver is configured to receive GPS signals within the environment where the GPS signals may suffer a GPS outage or are unreliable within the environment. In general, the OBASG includes a GPS block-chain recorder, a block-chain storage module, an anti-spoofing module, and a backup navigation module.

Abstract: Systems and method for implementing an encryption technique by combining matrix mathematics, audio frequencies, and symmetric key. Data encryption/decryption may be performed using symmetric key based implementations, with the encryption keys being derived from unique sequences of frequencies (e.g., either in written or audible form). In this regard, the encryption key may be derived from a reference signal, which may comprise a plurality of different frequencies, and the generating of the encryption key is based on assigning values to the plurality of different frequencies and/or to one or more attributes associated with the reference signal or elements (e.g., particular portions, such as notes or frequencies) thereof. The data may then be encrypted based on the generated encryption key, wherein the encrypting of the data comprises encrypting plaintext values.