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| New Quantum MDS Code from Constacyclic Codes |
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Citation： |
Liqin HU,Qin YUE,Xiaomeng ZHU.New Quantum MDS Code from Constacyclic Codes[J].Chinese Annals of Mathematics B,2016,37(6):891~898 |
| Page view： 1928
Net amount： 1503 |
Authors： |
Liqin HU; Qin YUE;Xiaomeng ZHU |
Foundation： |
This work was supported by the National Natural Science
Foundation of China (Nos.11171150, 113711138, 11531002) and the
Foundation of Science and the Technology on Information Assurance
Laboratory (No.KJ-15-009). |
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| Abstract： |
In recent years, there have been intensive activities in the area of
constructing quantum maximum distance separable (MDS for short)
codes from constacyclic MDS codes through the Hermitian
construction. In this paper, a new class of quantum MDS code is
constructed, which extends the result of [Theorems 3.14--3.15, Kai,
X., Zhu, S., and Li, P., {\it IEEE Trans. on Inf. Theory,} {\bf
60}(4), 2014, 2080--2086], in the sense that our quantum MDS code
has bigger minimum distance. |
Keywords： |
Cyclotomic coset, Quantum MDS code, Constacyclic code, BCH bound |
Classification： |
11T22, 81P45, 94B05, 94B65 |
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