Homomorphic encryption in computing systems and environments

An encrypting system that includes one or more processors and memory configured to:

• obtain a transformation function that satisfies at least linearity and convolution;
• and
• apply the transformation function, at least to first data, to generate and store, in a non-transitory computer readable storage medium, at least encrypted first data for the first data wherein the transformation function satisfies a cyclic convolution modulo polynomial including one or more evaluation points as its roots,
• uses the one or more evaluation points as one or more secret keys for encrypting the first data;
• inserts at least one secret or sensitive value at least into one component of a data signal;
• and;
• blinding the secret or sensitive value by adding blinding data into at least one component of a data signal for storing in the non-transitory computer readable storage medium.

A non-transitory computer readable storage medium storing at least executable code for encrypting data in encrypting system operable to execute executable code, wherein the executable code when executed:

• obtains a transformation function that satisfies at least linearity and convolution;
• and
• applying the transformation function, at least to first data, to generate and store, in a non-transitory computer readable storage medium, at least encrypted first data for the first data wherein the transformation function satisfies a cyclic convolution modulo polynomial including one or more evaluation points as its roots,
• uses the one or more evaluation points as one or more secret keys for encrypting the first data;
• inserts at least one secret or sensitive value at least into one component of a data signal;
• and;
• blinding the secret or sensitive value by adding blinding data into at least one component of a data signal for storing in the non-transitory computer readable storage medium.