King Fahd University of Petroleum and Minerals

Abdulaziz M Al-Khoraidly

Mohammad K Ibrahim

Lahouari Ghouti

The method of performing XZ-elliptic curve cryptography for use with network security protocols provides a computerized method that allows for the encryption of messages through elliptic polynomial cryptography and, particularly, with the embedding of either a symmetric secret key or a public key in the message bit string. The method of performing XZ-elliptic polynomial cryptography is based on the elliptic polynomial discrete logarithm problem. It is well known that an elliptic polynomial discrete logarithm problem is a computationally 'difficult' or 'hard' problem.

Method of performing XZ-elliptic curve cryptography for use with network security protocols

The XZ-elliptic curve cryptography system and method provides a computerized method that allows for the encryption of messages through elliptic polynomial cryptography and, particularly, with the embedding of either a symmetric secret key or a public key in the message bit string. The method of performing XZ-elliptic polynomial cryptography is based on the elliptic polynomial discrete logarithm problem. It is well known that an elliptic polynomial discrete logarithm problem is a computationally 'difficult' or 'hard' problem.

XZ-elliptic curve cryptography system and method

A method for enhancing the security of cryptographic systems against side channel attacks and cryptanalysis is based on the concept of object hopping or dynamic transformation of elements between objects that share the same category and/or floating objects which facilitate object hopping. The use of floating objects and floating finite fields to facilitate field hopping is also disclosed. Further, the use of curve hopping and floating elliptic curves to facilitate curve hopping and/or key floating when keys used in cryptosystems are floated through floating fields are also used for enhancing the security of cryptographic systems.

Method for communicating securely over an insecure communication channel

A method or cryptographic system for communicating securely over an insecure communication channel of the type which communicates a message from a transmitter to a receiver includes the step of providing a finite filed serial-serial multiplication/reduction structure wherein an initial delay and clock-cycle are inherently independent of word length and wherein input operands are serially entered one digit at a time and the output result is computed serially one digit at a time, wherein the digit size can be one bit or more. As disclosed, the multiplication structure is scalable and a serial transfer reduces the bus width needed to transfer data back and forth between memory and a multiplication/reduction step. A finite field multiplication structure in which an operand multiplication and a finite field reduction are formulated as a serial-serial computation is also disclosed.

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Onaizah, Saudi Arabia

Abdulaziz M Al-Khoraidly