H. Dinh

activity

20052019

most citedConstruction and enumeration for self-dual cyclic codes of even length over

F_{2^{m}} + u F_{2^{m}}

4 citations · 11 across the 9 of their papers we have counts for

collaborators

9 papers

cs.IT2019★ 4 cited

Construction and enumeration for self-dual cyclic codes of even length over $F_{2^{m}} + u F_{2^{m}}$

Yuan Cao, Yonglin Cao, Hai Q. Dinh +2

Let $F_{2^{m}}$ be a finite field of cardinality $2^{m}$ , $R = F_{2^{m}} + u F_{2^{m}}$ $(u^{2} = 0)$ and $s, n$ be positive integers such that $n$ is odd. In this paper,…

cs.IT2019

An efficient method to construct self-dual cyclic codes of length $p^{s}$ over $F_{p^{m}} + u F_{p^{m}}$

Yuan Cao, Yonglin Cao, Hai Q. Dinh +1

Let $p$ be an odd prime number, $F_{p^{m}}$ be a finite field of cardinality $p^{m}$ and $s$ a positive integer. Using some combinatorial identities, we obtain certain propert…

cs.IT2019

Explicit representation for a class of Type 2 constacyclic codes over the ring $F_{2^{m}} [u] / ⟨ u^{2 λ} ⟩$ with even length

Yuan Cao, Yonglin Cao, Hai Q. Dinh +2

Let $F_{2^{m}}$ be a finite field of cardinality $2^{m}$ , $λ$ and $k$ be integers satisfying $λ, k \geq 2$ and denote $R = F_{2^{m}} [u] / ⟨ u^{2 λ} ⟩$ . Let $δ,α\in…

cs.IT2018★ 3 cited

An explicit representation and enumeration for self-dual cyclic codes over $F_{2^{m}} + u F_{2^{m}}$ of length $2^{s}$

Yuan Cao, Yonglin Cao, Hai Q. Dinh +1

Let $F_{2^{m}}$ be a finite field of cardinality $2^{m}$ and $s$ a positive integer. Using properties for Kronecker product of matrices and calculation for linear equations ov…

cs.IT2018★ 3 cited

A class of repeated-root constacyclic codes over $F_{p^{m}} [u] / ⟨ u^{e} ⟩$ of Type $2$

Yuan Cao, Yonglin Cao, Hai Q. Dinh +3

Let $F_{p^{m}}$ be a finite field of cardinality $p^{m}$ where $p$ is an odd prime, $n$ be a positive integer satisfying $gcd (n, p) = 1$ , and denote $R=\mathbb{F}_{p^m}[u]/…

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…

cs.IT2014

Polyadic Constacyclic Codes

Bocong Chen, Hai Q. Dinh, Yun Fan +1

For any given positive integer $m$ , a necessary and sufficient condition for the existence of Type I $m$ -adic constacyclic codes is given. Further, for any given integer $s$ , a nec…

cs.IT2014★ 1 cited

Repeated-root constacyclic codes of length $2 ℓ^{m} p^{n}$

Bocong Chen, Hai Q. Dinh, Hongwei Liu

For any different odd primes $ℓ$ and $p$ , structure of constacyclic codes of length $2 ℓ^{m} p^{n}$ over a finite field $F_{q}$ of characteritic $p$ and their duals is establ…

math.RA2005

On the Goldie Dimension of Hereditary Rings and Modules

H. Q. Dinh, P. A. Guil Asensio, S. R. Lopez-Permouth

We find a bound for the Goldie dimension of hereditary modules in terms of the cardinality of the generator sets of its quasi-injective hull. Several consequences are deduced. In p…

Construction and enumeration for self-dual cyclic codes of even length over F2m​+uF2m​

An efficient method to construct self-dual cyclic codes of length ps over Fpm​+uFpm​

Explicit representation for a class of Type 2 constacyclic codes over the ring F2m​[u]/⟨u2λ⟩ with even length

An explicit representation and enumeration for self-dual cyclic codes over F2m​+uF2m​ of length 2s

A class of repeated-root constacyclic codes over Fpm​[u]/⟨ue⟩ of Type 2