Abstract: The present invention generally relates to the field of data encryption processes for crypto-currency or other digital asset transactions between a principal and beneficiary utilizing a custodian. Cryptographic protocols protect the asset from the custodian. It can also protect the asset from the principal. It can also protect the asset against the beneficiary until such time as the beneficiary can prove certain logical conditions that give it exclusive control over the digital asset.

Abstract: The present invention generally relates to the field of data encryption processes for crypto-currency or other digital asset transactions between a principal and beneficiary utilizing a custodian. Cryptographic protocols protect the asset from the custodian. It can also protect the asset from the principal. It can also protect the asset against the beneficiary until such time as the beneficiary can prove certain logical conditions that give it exclusive control over the digital asset.

Abstract: A method in a first entity for authenticating itself to a second entity by proving to the second entity that it is in possession of a full secret without sending the full secret to the second entity, the method comprising: receiving in the first entity an input from a user, the full secret having been divided into at least a first factor and a second factor and the input relating to the second factor of the full secret; reconstructing in the first entity the full secret from at least the first factor and the input; and carrying out a calculation in the first entity using the reconstructed full secret and sending the results of the calculation to the second entity, wherein the results provide an input to a pairing calculation in the second entity.

Abstract: A method in a first entity for authenticating itself to a second entity by proving to the second entity that it is in possession of a full secret without sending the full secret to the second entity, the method comprising: receiving in the first entity an input from a user, the full secret having been divided into at least a first factor and a second factor and the input relating to the second factor of the full secret; reconstructing in the first entity the full secret from at least the first factor and the input; and carrying out a calculation in the first entity using the reconstructed full secret and sending the results of the calculation to the second entity, wherein the results provide an input to a pairing calculation in the second entity.

Abstract: A method in a first entity for authenticating itself to a second entity by proving to the second entity that it is in possession of a full secret without sending the full secret to the second entity, the method comprising: receiving in the first entity an input from a user, the full secret having been divided into at least a first factor and a second factor and the input relating to the second factor of the full secret; reconstructing in the first entity the full secret from at least the first factor and the input; and carrying out a calculation in the first entity using the reconstructed full secret and sending the results of the calculation to the second entity, wherein the results provide an input to a pairing calculation in the second entity. The second entity carries out the pairing calculation to determine whether the client is in possession of the secret. The first entity may be a client and the second entity may be a server.

Abstract: A method in a first entity for authenticating itself to a second entity by proving to the second entity that it is in possession of a full secret without sending the full secret to the second entity, the method comprising: receiving in the first entity an input from a user, the full secret having been divided into at least a first factor and a second factor and the input relating to the second factor of the full secret; reconstructing in the first entity the full secret from at least the first factor and the input; and carrying out a calculation in the first entity using the reconstructed full secret and sending the results of the calculation to the second entity, wherein the results provide an input to a pairing calculation in the second entity. The second entity carries out the pairing calculation to determine whether the client is in possession of the secret. The first entity may be a client and the second entity may be a server.

Abstract: A method in a first entity for authenticating itself to a second entity by proving to the second entity that it is in possession of a full secret without sending the full secret to the second entity, the method comprising: receiving in the first entity an input from a user, the full secret having been divided into at least a first factor and a second factor and the input relating to the second factor of the full secret; reconstructing in the first entity the full secret from at least the first factor and the input; and carrying out a calculation in the first entity using the reconstructed full secret and sending the results of the calculation to the second entity, wherein the results provide an input to a pairing calculation in the second entity.

Abstract: A method in a first entity for authenticating itself to a second entity by proving to the second entity that it is in possession of a full secret without sending the full secret to the second entity, the method comprising: receiving in the first entity an input from a user, the full secret having been divided into at least a first factor and a second factor and the input relating to the second factor of the full secret; reconstructing in the first entity the full secret from at least the first factor and the input; and carrying out a calculation in the first entity using the reconstructed full secret and sending the results of the calculation to the second entity, wherein the results provide an input to a pairing calculation in the second entity.