Title :
Parity-check multiplicity in binary cyclic codes
Author :
Arul, V. ; Frost, Gordon ; Jung, D.
Author_Institution :
Penn State Summer Math Research Experience for Undergraduates, State College, PA, USA
Abstract :
Tests to determine the multiplicity of (1 + x) in a polynomial in F2[x] are provided. The primary application is to detect decode failure in binary BCH codes whose generator polynomial includes multiple factors of (1 + x).
Journal_Title :
Electronics Letters
DOI :
10.1049/el.2013.2677