Title :
Duadic Group Algebra Codes
Author :
Aly, S.A. ; Klappenecker, A. ; Sarvepalli, P.K.
Author_Institution :
Dept. of Comput. Sci., Texas A&M Univ., College Station, TX
Abstract :
Duadic group algebra codes are a generalization of quadratic residue codes. This paper addresses an open problem raised by Zhu concerning the existence of duadic group algebra codes. These codes can be used to construct degenerate quantum stabilizer codes that have the nice feature that many errors of small weight do not need error correction.
Keywords :
algebraic codes; group codes; duadic group algebra codes; quadratic residue codes; quantum stabilizer codes; Algebra; Computer science; Convolutional codes; Error correction codes; Galois fields; Hamming weight; Sufficient conditions; Terminology;
Conference_Titel :
Information Theory, 2007. ISIT 2007. IEEE International Symposium on
Conference_Location :
Nice
Print_ISBN :
978-1-4244-1397-3
DOI :
10.1109/ISIT.2007.4557530
