Abstract: A system that includes a first network node configured to store a first ledger, a second network node configured to store a second ledger, and a third network node. The third network node includes a transformation engine configured to generate a plurality of shares derived using a data entry, which includes setting a share quantity indicating the number of shares to generate and setting a threshold value indicating the number of shares from the share quantity needed to determine the data entry. The transformation engine generates a first share for the first ledger and a second share for the second ledger using a polynomial function. The transformation engine includes enriched data with information indicating when to publish the first share and the second share. The transformation engine transmits the first enriched share to the first network node and transmit the second enriched share to the second network node.

Abstract: A system that includes a first network node configured to store a first ledger, a second network node configured to store a second ledger, and a third network node. The third network node includes a transformation engine configured to obtain a plurality of enriched shares from at least one ledger using an index identifying enriched shares linked with a data entry. The number of obtained enriched shares is at least a threshold value corresponding to the number of enriched shares needed to determine the data entry. The transformation engine configured to remove enriched data from the plurality of enriched shares to generate a plurality of shares and perform polynomial interpolation using the plurality of shares to determine the result of the polynomial interpolation at zero. The result of the polynomial interpolation at zero is equal to the data entry.

Abstract: A system that includes a first network node configured to store a first ledger, a second network node configured to store a second ledger, and a third network node. The third network node includes a transformation engine configured to generate a plurality of shares derived using a data entry, which includes setting a share quantity indicating the number of shares to generate and setting a threshold value indicating the number of shares from the share quantity needed to determine the data entry. The transformation engine generates a first share for the first ledger and a second share for the second ledger using a polynomial function. The transformation engine includes enriched data with information indicating when to publish the first share and the second share. The transformation engine transmits the first enriched share to the first network node and transmit the second enriched share to the second network node.

Abstract: A system that includes a first network node configured to store a first ledger, a second network node configured to store a second ledger, and a third network node. The third network node includes a transformation engine configured to generate a plurality of shares derived using a data entry, which includes setting a share quantity indicating the number of shares to generate and setting a threshold value indicating the number of shares from the share quantity needed to determine the data entry. The transformation engine generates a first share for the first ledger and a second share for the second ledger using a polynomial function. The transformation engine includes enriched data with information indicating when to publish the first share and the second share. The transformation engine transmits the first enriched share to the first network node and transmit the second enriched share to the second network node.

Abstract: A system that includes a first network node configured to store a first ledger, a second network node configured to store a second ledger, and a third network node. The third network node includes a transformation engine configured to obtain a plurality of enriched shares from at least one ledger using an index identifying enriched shares linked with a data entry. The number of obtained enriched shares is at least a threshold value corresponding to the number of enriched shares needed to determine the data entry. The transformation engine configured to remove enriched data from the plurality of enriched shares to generate a plurality of shares and perform polynomial interpolation using the plurality of shares to determine the result of the polynomial interpolation at zero. The result of the polynomial interpolation at zero is equal to the data entry.

Abstract: A system that includes a first network node configured to store a first ledger, a second network node configured to store a second ledger, and a third network node. The third network node includes a transformation engine configured to generate a plurality of shares derived using a data entry, which includes setting a share quantity indicating the number of shares to generate and setting a threshold value indicating the number of shares from the share quantity needed to determine the data entry. The transformation engine generates a first share for the first ledger and a second share for the second ledger using a polynomial function. The transformation engine includes enriched data with information indicating when to publish the first share and the second share. The transformation engine transmits the first enriched share to the first network node and transmit the second enriched share to the second network node.