Polynomial invariants of <i>G</i>-orbit errors of BCH codes and its application

Abstract

The article addresses the further development of methods of BCH codes norm decoding. The authors propose to use new syndrome invariants - polynomial invariants of automorphism group G of a family of BCH codes. The paper presents basic properties of polynomial invariants and errors correction technique considered on two-step iteration system of error identification. An efficiency of the method of decoding based on polynomial invariants of G -orbit is demonstrated by the example.

Keywords

• bch code
• syndrome
• automorphism of bch code
• error г-orbits and g-orbits
• norm of syndrome
• norm of syndrome theory
• polynomial invariants of error g-orbits