Systems and methods for distributing and securing data

A method for securing data, the method comprising:

• applying by a hardware processor a sharing mechanism of a computational secret sharing scheme to the data to produce a collection of shares;
• using a probabilistic commitment scheme to compute a set of committal values and a set of decommittal values from the collection of shares;
• producing a plurality of fragments, wherein each fragment comprises a share of the collection of shares, a decommittal value of the set of decommittal values, and at least two committal values of the set of committal values;
• and
• storing each fragment on at least one data repository.

A method for securing data comprising;

• generating a cryptographic key;
• encrypting by a hardware processor the data with the cryptographic key to create a ciphertext;
• producing a collection of key shares by applying a secret sharing scheme to the cryptographic key;
• producing a collection of ciphertext chunks by applying an information dispersal algorithm to the ciphertext;
• computing n committal values and a set of decommittal values by applying a probabilistic commitment scheme to each of the key shares and ciphertext chunks, where n is an integer equal to or greater than two;
• producing a collection of data fragments, wherein each data fragment is a function of a key share, a ciphertext chunk, a decommittal value, and at least two committal values of the n committal values;
• and
• storing the data fragments on different logical storage devices, whereby the data is recoverable from a predefined number of the data fragments.