Patent · US Active

Cubic root of a galois field element

US9804828B2 · kind B2 · utility

0Cited by
8References
20Claims
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Key dates

Filing dateNov 24, 2014
Grant dateOct 31, 2017
Priority date
Expiry dateApr 21, 2035

Classification

  • Technology area (CPC G)Physics
  • CPC primaryG06F2207/5526
  • WIPO fieldComputer technology
  • WIPO sectorElectrical engineering

Abstract

A method includes receiving a first element of a Galois Field of order qm, where q is a prime number and m is a positive integer. The first element is raised to a predetermined power so as to form a second element z, wherein the predetermined power is a function of qm and an integer p, where p is a prime number which divides qm−1. The second element z is raised to a pth power to form a third element. If the third element equals the first element, the second element multiplied by a pth root of unity raised to a respective power selected from a set of integers between 0 and p−1 is output as at least one root of the first element.

Source: USPTO / EPO open patent data. Objective bibliographic and citation counts.