17 citations · 29 across the 14 of their papers we have counts for
14 papers
Linear complementary pair of group codes over finite principal ideal rings
Hualu Liu, Xiusheng Liu
A pair of group codes over group algebra is called a linear complementary pair (LCP) if , where is a finite principal ideal ring, and is a…
A new method for constructing EAQEC MDS codes
Peng Hu, Xiusheng Liu
Entanglement-assisted quantum error-correcting (EAQEC) codes make use of preexisting entanglement between the sender and receiver to boost the rate of transmission. It is possible…
Constructions of quantum MDS codes
Hualu Liu, Xiusheng Liu
Let be a finite field with elements, where is a prime number and is an integer. In this paper, by means of generalized Reed-Solomon (GRS) co…
Binary LCD Codes from
Hu Peng, Liu Xiusheng
Linear complementary dual (LCD) codes over finite fields are linear codes satisfying . We generalize the LCD codes over finite fields to $\mathbb{Z}_2\mathbb…
Entanglement-assisted quantum codes from Galois LCD codes
Xiusheng Liu, Hualu Liu, Long Yu
Entanglement-assisted quantum error-correcting codes (EAQECCs) make use of preexisting entanglement between the sender and receiver to boost the rate of transmission. It is possibl…
Rank-metric LCD codes
Xiusheng Liu, Hualu Liu
In this paper, we investigate the rank-metric codes which are proposed by Delsarte and Gabidulin to be complementary dual codes. We point out the relationship between Delsarte comp…
Constant composition codes derived from linear codes
Long Yu, Xiusheng Liu
In this paper, we propose a class of linear codes and obtain their weight distribution. Some of these codes are almost optimal. Moreover, several classes of constant composition co…
Constant Composition Codes as Subcodes of Linear Codes
Long Yu, Xiusheng Liu
In this paper, on one hand, a class of linear codes with one or two weights is obtained. Based on these linear codes, we construct two classes of constant composition codes, which…
Galois LCD Codes over Finite Fields
Xiusheng Liu, Yun Fan, Hualu Liu
In this paper, we study the complementary dual codes in more general setting (which are called Galois LCD codes) by a uniform method. A necessary and sufficient condition for linea…
Quantum Codes from Linear Codes over Finite Chain Rings
Xiusheng Liu, Hualu Liu
In this paper, we provide two methods of constructing quantum codes from linear codes over finite chain rings. The first one is derived from the Calderbank-Shor-Steane (CSS) constr…
Self-Dual Codes over
Long Yu, Qiong Huang, Hongwei Liu +1
In this paper, we study self-dual codes over , where . Three types of self-dual codes are defined. For each type, the poss…
On the arithmetic of the endomorphism ring End()
Xiusheng Liu, Hualu Liu
For a prime , let . We first establish a ring isomorphism…
Matrix-Product Complementary dual Codes
Xiusheng Liu, Hualu Liu
Linear complementary dual codes (LCD) are linear codes satisfying . Under suitable conditions, matrix-product codes that are complementary dual codes are cha…
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…