Patent · US Expired

Methods and apparatus for efficient finite field basis conversion

US5854759A · kind A · utility

44Cited by
4References
34Claims
0Family size

Assignee

Inventors

Key dates

Filing dateMay 5, 1997
Grant dateDec 29, 1998
Priority date
Expiry dateMay 5, 2017

Classification

  • Technology area (CPC G)Physics
  • CPC primaryG06F7/725
  • WIPO fieldComputer technology
  • WIPO sectorElectrical engineering

Abstract

Methods and apparatus for converting a value A representing in a first basis an element of a finite field GF(q.sup.m) to a value B representing the element in a second basis, where q is a prime number or power of a prime number and m is an integer greater than or equal to 2, and where the value B includes a vector of m coefficients from a finite field GF(q). An exemplary apparatus, particularly well-suited for exporting the value A in an internal basis representation to the value B in an external basis representation, includes an externally shifted sequence generator for generating from the value A a sequence of intermediate values representing in the first basis elements of the finite field GF(q.sup.m) whose representations in the second basis are related to the value B by a predetermined external shift operation. An extractor coupled to the externally shifted sequence generator receives and processes the sequence of intermediate values to generate each coefficient of the value B.

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