Cryptographic Key Exchange Using Efficient Elliptic Curve

US PATENT # 7,505,585 Method of Generating Cryptographic Key Using Elliptic Curve and Expansion in Joint Sparse Form and Using Same
US PATENT # 7,024,559 Method of Elliptic Curve Digital Signature Using Expansion in Joint Sparse Form
US PATENT # 6,993,136 Cryptographic Key Exchange Method Using Efficient Elliptic Curve

This technology is a combination of three patented methods for generating a crypto-graphic key between two users. The patents include the groundbreaking methods of identifying a digital signature using an efficient elliptic curve but also builds on previous technologies by adding a binary expansion in joint sparse form and a method of generating and verifying a cryptographic digital signature using coefficient splitting. Further innovation includes a method of generating a cryptographic key using coefficient splitting on two different classes of elliptic curves. This can be implemented in both a non-authenticated key exchange method and an authenticated key exchange method, minimizing the number of elliptic curve operations.



Click to view PDFs of these patents on the US Patent and Trademark Office website: Patent 7,505,585; Patent 7,024,559; Patent 6,993,136

  • Safeguarding confidential information
  • Secure digital banking transactions
Patent Number: 
7,505,585; 7,024,559; 6,993,136
Patent Issue Date: 
March 17, 2009
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