Collusion-resistant identity-based and quantum-resilient secure correlation schemes

A method for securing a digital ecosystem comprising:

• storing, by a processing system of an ecosystem security controller, at least a portion of a master QNA object comprising s randomly-generated composite matrices, wherein each composite matrix, Xi, is a d×d symmetric matrix having d rows and the master QNA is structured such that the ecosystem security controller allocates correlated QNA objects to cohorts of the digital ecosystem from the master QNA object based on respective credentials of the cohorts and the s composite matrices;
• receiving, by a processing system of an ecosystem security controller, a unique identifier of a new cohort that is being admitted to the digital ecosystem;
• determining, by the processing system, a set of s selection values, ki, based on the unique identifier of the new digital cohort and a selection function, wherein each respective selection value corresponds to a respective composite matrix of the s composite matrices and is a positive integer between 1 and d, such that each selection value indicates a specific row of the respective composite matrix to which the selection value corresponds;
• allocating, by the processing system, a new QNA object comprising s vectors to the new digital cohort based on the s selection values and the s composite matrices of the master QNA object, wherein each vector, Gi, includes d elements allocated from a specific row of a specific composite matrix, Xi, of the s composite matrices that is indicated by the selection value, ki;
• and
• providing, by the processing system, the new QNA object to a device associated with the new cohort.