Liqin Qian

activity

20162023

Z_{4} [u] / ⟨ u^{2} - 1 ⟩

and their Gray images

65 citations · 126 across the 10 of their papers we have counts for

collaborators

Showing 2016Show all

3 papers · 1 filter

cs.IT2016

New few weight codes from trace codes over a local Ring

Shi Minjia, Qian Liqin, Sole Patrick

In this paper, new few weights linear codes over the local ring $R = F_{p} + u F_{p} + v F_{p} + uv F_{p},$ with $u^{2} = v^{2} = 0, uv = v u,$ are constructed by using the t…

cs.IT2016★ 65 cited

On constacyclic codes over $Z_{4} [u] / ⟨ u^{2} - 1 ⟩$ and their Gray images

Minjia Shi, Liqing Qian, Lin Sok +2

We first define a new Gray map from $R = Z_{4} + u Z_{4}$ to $Z_{4}^{2}$ , where $u^{2} = 1$ and study $(1 + 2 u)$ -constacyclic codes over $R$ . Also of interest are some…

cs.IT2016

Good Self-dual Generalized Quasi-Cyclic Codes Exist

MinJia Shi, Yan Liu, Patrick Solé

We show that there are good long binary generalized quasi-cyclic self-dual (either Type I or Type II) codes.

New few weight codes from trace codes over a local Ring

On constacyclic codes over Z4​[u]/⟨u2−1⟩ and their Gray images

Good Self-dual Generalized Quasi-Cyclic Codes Exist

On constacyclic codes over $Z_{4} [u] / ⟨ u^{2} - 1 ⟩$ and their Gray images