Title :
Error detection with a class of irreducible binary cyclic codes and their dual codes
Author :
Dodunekova, Rossitza ; Rabaste, Olivier ; Páez, José León Vega
Author_Institution :
Dept. of Math. Sci., Chalmers Univ. of Technol., Goteborg, Sweden
fDate :
3/1/2005 12:00:00 AM
Abstract :
The irreducible binary cyclic codes of even dimension, introduced by Delsarte and Goethals in 1970, constitute a parametric class with three parameters. We show that these codes and their duals are either proper or not good for error detection.
Keywords :
binary codes; cyclic codes; dual codes; error detection; error detection codes; error statistics; linear codes; memoryless systems; dual code; error detection; irreducible binary cyclic code; linear code; parametric class; Binary codes; Cities and towns; Communications technology; Councils; Digital communication; Error probability; Galois fields; Linear code; Memoryless systems; Redundancy; Error detection; good code; linear code; proper code;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2004.842758
