17 citations · 36 across the 13 of their papers we have counts for
13 papers
Double Constacyclic Codes over Two Finite Commutative Chain Rings
Yun Fan, Hualu Liu
Many kinds of codes which possess two cycle structures over two special finite commutative chain rings, such as -additive cyclic codes and quasi-cyclic codes…
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…
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…
-Additive Cyclic Codes Are Asymptotically Good
Yun Fan, Hualu Liu
We construct a class of -additive cyclic codes generated by pairs of polynomials, study their algebraic structures, and obtain the generator matrix of any…
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…
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…
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…
Double Circulant Matrices
Yun Fan, Hualu Liu
Double circulant matrices are introduced and studied. A formula to compute the rank r of a double circulant matrix is exhibited; and it is shown that any consecutive r rows of the…
Quasi-cyclic Codes of Index 1.5
Yun Fan, Hualu Liu
We introduce quasi-cyclic codes of index 1.5, construct such codes in terms of polynomials and matrices; and prove that the quasi-cyclic codes of index 1.5 are asymptotically good.