DocumentCode :
3072951
Title :
Quantum codes from cyclic codes over a class of nonchain rings
Author :
Sari, Mustafa ; Siap, Irfan
Author_Institution :
Dept. of Math., Yildiz Tech. Univ., Istanbul, Turkey
fYear :
2015
fDate :
27-29 May 2015
Firstpage :
1
Lastpage :
2
Abstract :
Lately, quantum error correcting codes have been considered as the Gray images of some special codes over various rings. In this study, we investigate the structure of the cyclic codes of arbitrary length over the finite nonchain ring Rp = Fp+vFp+···+vp-1Fp where vp = v and obtain quantum error correcting codes over Fp by using the Gray map defined in the work of Bayram and Siap (2014).
Keywords :
Galois fields; cyclic codes; error correction codes; quantum computing; Gray map; cyclic codes; finite nonchain ring; nonchain rings; quantum codes; quantum error correcting codes; Error correction codes; Hamming distance; Hamming weight; Linear codes; Mathematics; Quantum computing; Structural rings;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Modeling, Simulation, and Applied Optimization (ICMSAO), 2015 6th International Conference on
Conference_Location :
Istanbul
Type :
conf
DOI :
10.1109/ICMSAO.2015.7152240
Filename :
7152240
Link To Document :
https://search.ricest.ac.ir/dl/search/defaultta.aspx?DTC=49&DC=3072951
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