Title :
Nonbinary quantum Reed-Muller codes
Author :
Sarvepalli, Pradeep K. ; Klappenecker, Andreas
Author_Institution :
Dept. of Comput. Sci., Texas A&M Univ., College Station, TX
Abstract :
We construct nonbinary quantum codes from classical generalized Reed-Muller codes and derive the conditions under which these quantum codes can be punctured. We provide a partial answer to a question raised by Grassl, Beth and Rotteler on the existence of q-ary quantum MDS codes of length n with q les n les q2 - 1
Keywords :
Reed-Muller codes; quantum theory; generalized Reed-Muller codes; nonbinary quantum codes; quantum MDS codes; Computer errors; Computer science; Error correction codes; Fault tolerance; Quantum computing; Quantum mechanics;
Conference_Titel :
Information Theory, 2005. ISIT 2005. Proceedings. International Symposium on
Conference_Location :
Adelaide, SA
Print_ISBN :
0-7803-9151-9
DOI :
10.1109/ISIT.2005.1523494