Xiusheng Liu

activity

20162020

most citedMatrix-Product Complementary dual Codes

17 citations · 29 across the 14 of their papers we have counts for

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Showing 2016Show all

4 papers · 1 filter

cs.IT2016

Self-Dual Codes over $Z_{2} \times (Z_{2} + u Z_{2})$

Long Yu, Qiong Huang, Hongwei Liu +1

In this paper, we study self-dual codes over $Z_{2} \times (Z_{2} + u Z_{2})$ , where $u^{2} = 0$ . Three types of self-dual codes are defined. For each type, the poss…

math.NT2016★ 1 cited

On the arithmetic of the endomorphism ring End( $Z_{p} \times Z_{p^{m}}$ )

Xiusheng Liu, Hualu Liu

For a prime $p$ , let $E_{p, p^{m}} = {(a p^{m - 1} c b d) ∣ a, b, c \in Z_{p}, and d \in Z_{p^{m}}}$ . We first establish a ring isomorphism…

cs.IT2016★ 17 cited

Matrix-Product Complementary dual Codes

Xiusheng Liu, Hualu Liu

Linear complementary dual codes (LCD) are linear codes satisfying $C \cap C^{⊥} = {0}$ . Under suitable conditions, matrix-product codes that are complementary dual codes are cha…

cs.IT2016

On New Quantum Codes From Matrix Product Codes

Xiusheng Liu, Hualu Liu, Long Yu

In this paper, by using matrix product codes, several classes of new quantum codes are obtained. Moreover, some of them have better parameters than the previous quantum codes avail…

Self-Dual Codes over Z2​×(Z2​+uZ2​)

On the arithmetic of the endomorphism ring End(Zp​×Zpm​)

Matrix-Product Complementary dual Codes

On New Quantum Codes From Matrix Product Codes

Self-Dual Codes over $Z_{2} \times (Z_{2} + u Z_{2})$

On the arithmetic of the endomorphism ring End( $Z_{p} \times Z_{p^{m}}$ )