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| Number | Title | Issue Date |
| 8185744 | Aggregate signature schemes An authenticated RFID system is provided that uses elliptic curve cryptography (ECC) to reduce the signature size and read/write times when compared to traditional public key implementations such as RSA. Either ECDSA or ECPVS can be used to reduce the signature size... | 05/22/2012 |
| 8170207 | Split-key key-agreement protocol This invention relates to a method for generating a shared secret value between entities in a data communication system, one or more of the entities having a plurality of members for participation in the communication system, each member having a long term private k... | 05/01/2012 |
| 8166308 | System and method for authenticating a gaming device A method and system are provided for authenticating and securing an embedded device using a secure boot procedure and a full non-volatile memory encryption process that implements Elliptic Curve Pinstov-Vanstone Signature (ECPV) scheme with message recovery on a per... | 04/24/2012 |
| 8145697 | System and method for efficient basis conversion This invention describes a method for evaluating a polynomial in an extension field Fqm, wherein the method comprises the steps of partitioning the polynomial into a plurality of parts, each part is comprised of smaller polynomials using a q | 03/27/2012 |
| 8099769 | System and method for trusted communication A method of establishing a trusted path of data and a method of verifying the integrity of data presented for signing to a user of the personalized device in a public-key cryptographic scheme. The method comprises establishing a trusted path between the user and sec... | 01/17/2012 |
| 8090947 | Key agreement and transport protocol with implicit signatures A key establishment protocol between a pair of correspondents includes the generation by each correspondent of respective signatures. The signatures are derived from information that is private to the correspondent and information that is public. After exchange of s... | 01/03/2012 |
| 8086656 | System and method for efficient basis conversion This invention describes a method for evaluating a polynomial in an extension field FqM, wherein the method comprises the steps of partitioning the polynomial into a plurality of parts, each part is comprised of smaller polynomials using a q | 12/27/2011 |
| 8073139 | Method of compressing a cryptographic value A method of compressing a cryptographic value. The method comprising the steps of: (a) selecting a secret value; (b) performing a cryptographic operation on the secret value to generate the cryptographic value; (c) determining whether the cryptographic value satisfi... | 12/06/2011 |
| 8069347 | Method for the application of implicit signature schemes A method of verifying a transaction over a data communication system between a first and second correspondent through the use of a certifying authority. The certifying authority has control of a certificate's validity, which is used by at least the first corresponde... | 11/29/2011 |
| 8069346 | Implicit certificate verification A method of computing a cryptographic key to be shared between a pair of correspondents communicating with one another through a cryptographic system is provided, where one of the correspondents receives a certificate of the other correspondents public key informati... | 11/29/2011 |
| 8045705 | Simultaneous scalar multiplication method In computing point multiples in elliptic curve schemes (e.g. kP and sQ) separately using, for example, Montgomery's method for the purpose of combining kP+sQ several operations are repeated in computing kP and sQ individually, that could be executed at the same time... | 10/25/2011 |
| 8000470 | Method of public key generation A potential bias in the generation of a private key is avoided by selecting the key and comparing it against the system parameters. If a predetermined condition is attained it is accepted. If not it is rejected and a new key is generated. ... | 08/16/2011 |
| 7995752 | Method for accelerating cryptographic operations on elliptic curves This invention provides a method for accelerating multiplication of an elliptic curve point Q(x,y) by a scalar k, the method comprising the steps of selecting an elliptic curve over a finite field Fq where q is a prime power such that there exists an endomorphism ψ... | 08/09/2011 |
| 7844051 | Trapdoor one-way functions on elliptic curves and their application to shorter signatures and asymmetric encryption The present invention provides a new trapdoor one-way function. In a general sense, some quadratic algebraic integer z is used. One then finds a curve E and a rational map defining [z] on E. The rational map [z] is the trapdoor one-way function. A judicious selectio... | 11/30/2010 |
| 7840004 | Split-key key-agreement protocol This invention relates to a method for generating a shared secret value between entities in a data communication system, one or more of the entities having a plurality of members for participation in the communication system, each member having a long term private k... | 11/23/2010 |
| 7801869 | Partial revocation list A partial revocation list and a system and method for using the partial revocation list for tracking the authenticity of replacement cartridges in a manufactured device to inhibit cloning of the cartridges is provided. A revocation pool is maintained by a manufactur... | 09/21/2010 |
| 7779259 | Key agreement and transport protocol with implicit signatures A key establishment protocol between a pair of correspondents includes the generation by each correspondent of respective signatures. The signatures are derived from information that is private to the correspondent and information that is public. After exchange of s... | 08/17/2010 |
| 7778412 | Method and apparatus for performing elliptic curve arithmetic A method of performing a cryptographic operation on a point in an elliptic curve cryptosystem using an elliptic curve. The method comprises the steps of obtaining information that uniquely identifies the elliptic curve and performing computations on the point to obt... | 08/17/2010 |
| 7769169 | Method and apparatus for generating a key stream A method of generating a key stream for a precomputed state information table. The method comprises initialising a counter and an accumulator with non-zero values; combining state information identified by the counter with the accumulator; swapping state information... | 08/03/2010 |
| 7720221 | Privacy-enhanced e-passport authentication protocol A passport authentication protocol provides for encryption of sensitive data such as biometric data and transfer of the encryption key from the passport to the authentication authority to permit comparison to a reference value. ... | 05/18/2010 |
| 7653201 | Implicit certificate scheme A method of a trusted entity CA facilitating generation of a public key by an entity A in an electronic data communication system using implicit certificates. The trusted entity CA selects a unique identity distinguishing the entity A. The trusted entity CA then gen... | 01/26/2010 |
| 7610484 | Customizable public key infrastructure and development tool for same A public key infrastructure comprises a client side to request and utilize certificates in communication across a network and a server side to administer issuance and maintenance of said certificates. The server side has a portal to receive requests for a certificat... | 10/27/2009 |
| 7600038 | Method and apparatus for encoding security status information A method of transmitting messages from a sender to a recipient over a wireless channel, the messages including a sequence counter and a frame counter. The method comprises establishing initial values of the sequence counter and the frame counter at the sender. Initi... | 10/06/2009 |
| 7599491 | Method for strengthening the implementation of ECDSA against power analysis A method of inhibiting the disclosure of confidential information through power analysis attacks on processors in cryptographic systems. The method masks a cryptographic operation using a generator G. A secret value, which may be combined with the generator G to for... | 10/06/2009 |
| 7567669 | Strengthened public key protocol A method of determining the integrity of a message exchanged between a pair of correspondents. The message is secured by embodying the message in a function of a public key derived from a private key selected by one of the correspondents. The method comprises first ... | 07/28/2009 |
| 7552329 | Masked digital signatures The present invention relates to digital signature operations using public key schemes in a secure communications system and in particular for use with processors having limited computing power such as ‘smart cards’. This invention describes a method for creatin... | 06/23/2009 |
| 7516325 | Device authentication in a PKI A method for establishing a link key between correspondents in a public key cryptographic scheme, one of the correspondents being an authenticating device and the other being an authenticated device. The method also provides a means for mutual authentication of the ... | 04/07/2009 |
| 7512233 | Method and apparatus for computing a shared secret key A method of generating a key by a first correspondent. The key is computable by a second correspondent. The method comprises the steps of: a) making available to the second correspondent a first short term public key; ... | 03/31/2009 |
| 7480795 | Method for the application of implicit signature schemes A method of verifying a transaction over a data communication system between a first and second correspondent through the use of a certifying authority. The certifying authority has control of a certificate's validity, which is used by at least the first corresponde... | 01/20/2009 |
| 7472276 | Data card verification system A method of verifying a pair of correspondents in electronic transaction, the correspondents each including first and second signature schemes and wherein the first signature scheme is computationally more difficult in signing than verifying and the second signature... | 12/30/2008 |
| 7424504 | Arithmetic processor for accomodating different field sizes An arithmetic processor is provided, which comprises an arithmetic logic unit (ALU) containing arithmetic circuitry configured to perform field operations in an underlying field. The circuitry comprises a first controller for sequencing the ALU through steps in the ... | 09/09/2008 |
| 7418099 | Method and apparatus for performing elliptic curve arithmetic A method of performing a cryptographic operation on a point in an elliptic curve cryptosystem using an elliptic carve. The method comprises the steps of obtaining information that uniquely identifies the elliptic curve and performing computations on the point to obt... | 08/26/2008 |
| 7415611 | Accelerated signature verification on a elliptic curve A public key encryption system exchanges information between a pair of correspondents. The recipient performs computations on the received data to recover the transmitted data or verify the identity of the sender. The data transferred includes supplementary informat... | 08/19/2008 |
| 7412062 | Method and apparatus for elliptic curve scalar multiplication The applicants have recognized an alternate method of performing modular reduction that admits precomputation. The precomputation is enabled by approximating the inverse of the truncator T, which does not depend on the scalar. The applicants have also recogni... | 08/12/2008 |
| 7391868 | Implicit certificate scheme A method of generating a public key in a secure digital communication system, having at least one trusted entity CA and subscriber entities A. For each entity A, the trusted entity selects a unique identity distinguishing the entity A. The trusted entity then genera... | 06/24/2008 |
| 7372961 | Method of public key generation A potential bias in the generation or a private key is avoided by selecting the key and comparing it against the system parameters. If a predetermined condition is attained it is accepted. If not it is rejected and a new key is generated. ... | 05/13/2008 |
| 7372960 | Method and apparatus for performing finite field calculations In general terms, the invention provides a finite field engine and methods for operating on elements in a finite field. The finite field engine provides finite field sub-engines suitable for any finite field size requiring a fixed number of machine words. The engine... | 05/13/2008 |
| 7366794 | Method and apparatus for resolving a web site address when connected with a virtual private network (VPN) The present invention is directed at a method and apparatus of resolving an address location for a web site when connected with a virtual private network (VPN). Once the public host is connected to, or logged on to, the VPN, a software module within the public host ... | 04/29/2008 |
| 7334127 | Key agreement and transport protocol A key establishment protocol includes the generation of a value of cryptographic function, typically a hash, of a session key and public information. This value is transferred between correspondents together with the information necessary to generate the session key... | 02/19/2008 |
| 7299253 | System and method for efficient basis conversion This invention describes a method for evaluating a polynomial in an extension field FqM, wherein the method comprises the steps of partitioning the polynomial into a plurality of parts, each part is comprised of smaller polynomials using a q | 11/20/2007 |
