X. Kai

activity

20162024

most citedSome new bounds on LCD codes over finite fields

18 citations · 23 across the 11 of their papers we have counts for

collaborators

Showing 2016Show all

5 papers · 1 filter

cs.IT2016★ 3 cited

On $Z_{2} Z_{2} [u]$ - $(1 + u)$ -additive constacyclic

Ping Li, Wei Dai, Xiaoshan Kai

In this paper, we study $Z_{2} Z_{2} [u]$ - $(1 + u)$ -additive constacyclic code of arbitrary length. Firstly, we study the algebraic structure of this family of codes…

math.RA2016

One-Lee weight and two-Lee weight $Z_{2} Z_{2} [u]$ -additive codes

Zhenliang Lu, Liqi Wang, Shixin Zhu +1

In this paper, we study one-Lee weight and two-Lee weight codes over $Z_{2} Z_{2} [u]$ , where $u^{2} = 0$ . Some properties of one-Lee weight $\mathbb{Z}_{2}\mathbb{Z}…

cs.IT2016

New quantum codes from dual-containing cyclic codes over finite rings

Yongsheng Tang, Shixin Zhu, Xiaoshan Kai +1

Let $R = F_{2^{m}} + u F_{2^{m}} + \dots + u^{k} F_{2^{m}}$ , where $F_{2^{m}}$ is a finite field with $2^{m}$ elements, $m$ is a positive integer, $u$ i…

cs.IT2016

MacWilliams type identities on the Lee and Euclidean weights for linear codes over $Z_{ℓ}$

Yongsheng Tang, Shixin Zhu, Xiaoshan Kai

Motivated by the works of Shiromoto [3] and Shi et al. [4], we study the existence of MacWilliams type identities with respect to Lee and Euclidean weight enumerators for linear co…

cs.IT2016★ 1 cited

Repeated-root constacyclic codes of length $3 l p^{s}$ and their dual codes

Li Liu, Lanqiang Li, Xiaoshan Kai +1

Let $p \neq = 3$ be any prime and $l \neq = 3$ be any odd prime with $g c d (p, l) = 1$ . $F_{q}^{*} = ⟨ ξ ⟩$ is decomposed into mutually disjoint union of $g c d (q - 1, 3 l p^{s})$ coset over t…

On Z2​Z2​[u]-(1+u)-additive constacyclic

One-Lee weight and two-Lee weight Z2​Z2​[u]-additive codes

New quantum codes from dual-containing cyclic codes over finite rings

MacWilliams type identities on the Lee and Euclidean weights for linear codes over Zℓ​

Repeated-root constacyclic codes of length 3lps and their dual codes

On $Z_{2} Z_{2} [u]$ - $(1 + u)$ -additive constacyclic

One-Lee weight and two-Lee weight $Z_{2} Z_{2} [u]$ -additive codes

MacWilliams type identities on the Lee and Euclidean weights for linear codes over $Z_{ℓ}$

Repeated-root constacyclic codes of length $3 l p^{s}$ and their dual codes