DocumentCode :
3126334
Title :
Quantum LDPC codes obtained by non-binary constructions
Author :
Andriyanova, Iryna ; Maurice, Denise ; Tillich, Jean-Pierre
Author_Institution :
ETIS group, UCP, Cergy-Pontoise, France
fYear :
2012
fDate :
1-6 July 2012
Firstpage :
343
Lastpage :
347
Abstract :
We generalize a construction of non-binary quantum LDPC codes over F2m due to [KHIK11] and apply it in particular to toric codes. We obtain in this way not only codes with better rates than toric codes but also improve dramatically the performance of standard iterative decoding. Moreover, the new codes obtained in this fashion inherit the distance properties of the underlying toric codes and have therefore a minimum distance which grows as the square root of the length of the code for fixed m.
Keywords :
iterative decoding; parity check codes; distance properties; iterative decoding; low density parity check codes; nonbinary constructions; nonbinary quantum LDPC codes; toric codes; Binary codes; Cascading style sheets; Error correction codes; Iterative decoding; Quantum computing; Standards;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Information Theory Proceedings (ISIT), 2012 IEEE International Symposium on
Conference_Location :
Cambridge, MA
ISSN :
2157-8095
Print_ISBN :
978-1-4673-2580-6
Electronic_ISBN :
2157-8095
Type :
conf
DOI :
10.1109/ISIT.2012.6284205
Filename :
6284205
Link To Document :
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