Title :
A note on self-dual group codes
Author :
Willems, Wolfgang
Author_Institution :
Institut fur Algebra und Geometrie, Otto-von-Guericke-Universitat, Magdeburg, Germany
fDate :
12/1/2002 12:00:00 AM
Abstract :
We classify group algebras over Galois rings containing self-dual ideals; i.e., ideals C which satisfy C = C⊥ with respect to the natural nondegenerate bilinear form given on group algebras.
Keywords :
Galois fields; dual codes; group codes; group theory; linear codes; Galois rings; group algebra; linear code; nondegenerate bilinear form; self-dual group codes; Algebra; Galois fields; Information theory; Linear code; Modules (abstract algebra); Polynomials;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2002.805076