Abstract
Asymmetric quantum codes are an efficient coding scheme against different kinds of quantum errors in quantum communication, which occurs with different probability.The good quantum codes play a decisive role in ensuring the authenticity and reliability of quantum communication.In this paper, we first present Hermitian dual-containing conditions of the imprimitive narrow-sense BCH codes by a detailed analysis of cyclotomic cosets.Secondly, a series of asymmetric quantum BCH codes with special code length are constructed via the generalized CSS construction.Finally, dimensions of two types of asymmetric quantum BCH codes are determined for m as 3 and 5 respectively, whose z distances are much greater than the results in the literature.Hence, the error-correcting ability to the phase errors can be further improved.
| Translated title of the contribution | A Class of Special Code Length Asymmetric Quantum BCH Codes |
|---|---|
| Original language | Chinese (Traditional) |
| Pages (from-to) | 2311-2316 |
| Number of pages | 6 |
| Journal | Tien Tzu Hsueh Pao/Acta Electronica Sinica |
| Volume | 47 |
| Issue number | 11 |
| DOIs | |
| State | Published - 1 Nov 2019 |
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