Patents by Inventor Richard Crandall

Richard Crandall has filed for patents to protect the following inventions. This listing includes patent applications that are pending as well as patents that have already been granted by the United States Patent and Trademark Office (USPTO).

  • Publication number: 20060291649
    Abstract: A chaos generator for accumulating stream entropy is disclosed. The chaos generator includes a random source coupled to an entropy accumulator that is configurable for generating a binary random input sequence. The entropy accumulator is configurable for accumulating entropy of the input sequence and providing a binary random output sequence based on the accumulated entropy. The binary random output sequence is reduced by a modular reduction operation having a modulus that is set equal to a cryptographic prime (e.g., the order of an elliptic curve). The number of iterations performed by the entropy accumulator on the binary random input sequence is selected to provide a binary random output sequence having a desired cryptographic strength. The chaos generator can be part of a signing and verification system that uses fast elliptic encryption for small devices.
    Type: Application
    Filed: June 22, 2005
    Publication date: December 28, 2006
    Inventors: Richard Crandall, Douglas Mitchell, Scott Krueger, Guy Tribble
  • Publication number: 20060174126
    Abstract: A method of generating a digital signature includes generating a first random number from a finite field of numbers, and generating field elements defining a first point on an elliptic curve defined over the finite field of numbers by performing elliptic curve arithmetic on the first random number and an initial public point on the elliptic curve. The method continues by generating a product from a field element, a private key, and a second random number received from a challenger seeking verification of a digital signature, and generating a signature component by summing the product and the first random number. The signature component is reduced using one or more modular reduction operations, using a modulus equal to an order of the elliptic curve, and then the reduced signature component and the field elements are sent to the challenger as a digital signature for verification by the challenger.
    Type: Application
    Filed: February 3, 2005
    Publication date: August 3, 2006
    Inventors: Richard Crandall, Douglas Mitchell
  • Patent number: 4475795
    Abstract: Thin, amorphous electrochromic layers deposited on substrate electrodes by, for example, vacuum deposition techniques, are subjected to a special heat treatment at a selected high temperature for a selected short time to convert at least a free surface portion of each layer to be exposed to the electrolyte from the amorphous form to a crystalline form while preventing excessive water loss which might adversely affect the electrochromic properties of the layer for display purposes. Crystallization of at least the free surface portion of the electrochromic layer significantly increases its etch resistance whereas retention of water in the electrochromic layer maintains satisfactory electrochromic properties for display purposes.
    Type: Grant
    Filed: October 20, 1980
    Date of Patent: October 9, 1984
    Assignee: Timex Corporation
    Inventors: Marshall Leibowitz, Richard Crandall, Brian Faughnan
  • Patent number: 4406426
    Abstract: A coded cassette for magnetic tape, film and the like, has a clutch mechanism which prevents transport of the record medium unless a complementally-coded key, as a part of the drive mechanism, is engaged therewith for operating the clutch to an unlocked condition.
    Type: Grant
    Filed: June 16, 1981
    Date of Patent: September 27, 1983
    Inventor: Richard Crandall
  • Patent number: 4233339
    Abstract: Thin, amorphous electrochromic layers deposited on substrate electrodes by, for example, vacuum deposition techniques, are subjected to a special heat treatment at a selected high temperature for a selected short time to convert at least a free portion of each layer to be exposed to the electrolyte from the amorphous form to a crystalline form while preventing excessive water loss which might adversely affect the electrochromic properties of the layer for display purposes. Crystallization of at least the free surface portion of the electrochromic layer significantly increases its etch resistance whereas retention of water in the electrochromic layer maintains satisfactory electrochromic properties for display purposes.
    Type: Grant
    Filed: October 23, 1978
    Date of Patent: November 11, 1980
    Assignee: Timex Corporation
    Inventors: Marshall Leibowitz, Richard Crandall, Brian Faughnan