DocumentCode :
2899778
Title :
Gray Map and Quantum Codes over the Ring F_2+uF_2+u^2F_2
Author :
Yin, Xunru ; Ma, Wenping
fYear :
2011
fDate :
16-18 Nov. 2011
Firstpage :
897
Lastpage :
899
Abstract :
In this paper, by denning the Lee distance and the Lee weight of linear codes over the ring R = F2 +uF2 + u2F2, we construct a Gray map which is both an isometry and a weight-preserving map from Rn to F23n. In addition, using the proposed Gray map, we give an existence condition of quantum codes which are derived from cyclic codes over R with the Lee metric.
Keywords :
Gray codes; cyclic codes; linear codes; Gray map code; Lee distance; Lee weight; cyclic codes; linear codes; quantum codes; ring F2 + uF2 + u2F2; weight-preserving map; Educational institutions; Error correction codes; Hamming weight; Linear code; Measurement; Polynomials; Quantum mechanics; Lee distance; Lee weight; gray map; quantum codes;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Trust, Security and Privacy in Computing and Communications (TrustCom), 2011 IEEE 10th International Conference on
Conference_Location :
Changsha
Print_ISBN :
978-1-4577-2135-9
Type :
conf
DOI :
10.1109/TrustCom.2011.122
Filename :
6120915
Link To Document :
https://search.ricest.ac.ir/dl/search/defaultta.aspx?DTC=49&DC=2899778
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