×

Method and apparatus for performing arithmetic in large galois field GF(2.sup.n)

  • US 5,689,452 A
  • Filed: 10/31/1994
  • Issued: 11/18/1997
  • Est. Priority Date: 10/31/1994
  • Status: Expired due to Term
First Claim
Patent Images

1. A method of controlling errors in an electronically communicated digital data message by performing at least one of a plurality of predetermined arithmetic operations on the data message in one or more of a plurality of subfields GF(2pi) of a finite field GF(2n), comprising steps of:

  • a. factoring a composite number n into a set of factors pi wherein the composite number n is a number of bits of each element in the finite field GF(2n);

    b. forming a plurality of primitive polynomials Fi wherein each primitive polynomial is of a degree equal to pi and defines a subfield GF(2pi) of the finite field GF(2n); and

    c. performing at least one of the plurality of predetermined arithmetic operations on the data message by utilizing an arithmetic circuit coupled to receive the data message, wherein the arithmetic operation is performed in one or more of the plurality of subfields GF(2pi) of the finite field GF(2n).

View all claims
  • 3 Assignments
Timeline View
Assignment View
    ×
    ×