Oversampling of Fourier coefficients for hiding messages

Oversampling of Fourier coefficients is a common practice in signal processing applications, which is usually implemented by the padding with zeros technique. In this note we would like to highlight that, as a consequence of such a procedure, uniqueness in the representation is lost. A space is thereby created which we show to be suitable for embedding encrypted information while transmitting/storing a signal. The oversampling parameter provides the safety key for retrieving the code.