Yuan Cao

Orcid: 0000-0002-3089-0046

Affiliations:
  • Changsha University of Science and Technology, School of Mathematics and Statistics, China
  • Shandong University of Technology, School of Mathematics and Statistics, Zibo, China
  • Hunan University, College of Electrical and Information Engineering, Changsha, China (former)


According to our database1, Yuan Cao authored at least 57 papers between 2011 and 2024.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.

Timeline

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Bibliography

2024
Constructing and expressing Hermitian self-dual cyclic codes of length p<sup>s</sup> over ${\mathbb {F}}_{p^m}+u{\mathbb {F}}_{p^m}$.
Appl. Algebra Eng. Commun. Comput., May, 2024

2023
An explicit expression for all distinct self-dual cyclic codes of length p<sup>k</sup> over Galois ring $\mathrm{GR}(p^2,m)$.
Appl. Algebra Eng. Commun. Comput., May, 2023

Hermitian duality of left dihedral codes over finite fields.
Discret. Math., 2023

2022
Construction and enumeration of left dihedral codes satisfying certain duality properties.
Discret. Math., 2022

On the construction of self-dual cyclic codes over $\mathbb {Z}_{4}$ with arbitrary even length.
Cryptogr. Commun., 2022

Self-dual cyclic codes over ${\mathbb {Z}}_4$ of length 4n.
Appl. Algebra Eng. Commun. Comput., 2022

2021
An explicit expression for Euclidean self-dual cyclic codes of length 2<sup><i>k</i></sup> over Galois ring GR(4, <i>m</i>).
Finite Fields Their Appl., 2021

An explicit expression for Euclidean self-dual cyclic codes over F2m+uF2m of length 2s.
Discret. Math., 2021

An explicit representation and enumeration for negacyclic codes of length 2<sup>kn</sup> over ℤ<sub>4+uℤ<sub>4</sub></sub>.
Adv. Math. Commun., 2021

On self-duality and hulls of cyclic codes over $\frac{\mathbb {F}_{2^m}[u]}{\langle u^k\rangle }$ with oddly even length.
Appl. Algebra Eng. Commun. Comput., 2021

2020
Self-Dual Binary $[8m, \, \, 4m]$ -Codes Constructed by Left Ideals of the Dihedral Group Algebra $\mathbb{F}_2[D_{8m}]$.
IEEE Trans. Inf. Theory, 2020

Construction and enumeration for self-dual cyclic codes of even length over F2m+uF2m.
Finite Fields Their Appl., 2020

An efficient method to construct self-dual cyclic codes of length ps over Fpm+uFpm.
Discret. Math., 2020

On matrix-product structure of repeated-root constacyclic codes over finite fields.
Discret. Math., 2020

An explicit expression for Euclidean self-dual cyclic codes of length 2<sup>k</sup> over Galois ring GR(4, m).
CoRR, 2020

Correcting mistakes in the paper "A mass formula for negacyclic codes of length 2<sup>k</sup> and some good negacyclic codes over $\mathbb {Z}_{4}+u\mathbb {Z}_{4}$" [Cryptogr. Commun. (2017) 9: 241-272].
Cryptogr. Commun., 2020

Complete classification for simple root cyclic codes over the local ring $\mathbb {Z}_{4}[v]/\langle v^{2}+2v\rangle $.
Cryptogr. Commun., 2020

Explicit Representation and Enumeration of Repeated-Root (δ + αu²)-Constacyclic Codes Over F₂<sup>m</sup>[u]/‹u<sup>2λ</sup>›.
IEEE Access, 2020

2019
A class of repeated-root constacyclic codes over Fpm[u]/〈ue〉 of Type 2.
Finite Fields Their Appl., 2019

An explicit representation and enumeration for self-dual cyclic codes over F2m+uF2m of length 2s.
Discret. Math., 2019

Type 2 constacyclic codes over F2m[u]∕〈u3〉 of oddly even length.
Discret. Math., 2019

Construction and enumeration for self-dual cyclic codes over Z<sub>4</sub> of oddly even length.
Des. Codes Cryptogr., 2019

On self-duality and hulls of cyclic codes over F<sub>2<sup>m</sup></sub>[u]/⟨u<sup>k</sup>⟩ with oddly even length.
CoRR, 2019

Construction and enumeration for self-dual cyclic codes of even length over F<sub>2<sup>m</sup></sub> + uF<sub>2<sup>m</sup></sub>.
CoRR, 2019

An efficient method to construct self-dual cyclic codes of length p<sup>s</sup> over F<sub>p<sup>m</sup></sub>+uF<sub>p<sup>m</sup></sub>.
CoRR, 2019

Explicit representation for a class of Type 2 constacyclic codes over the ring F<sub>2<sup>2</sup></sub>[u]/〈u<sup>2λ</sup>〉 with even length.
CoRR, 2019

2018
Negacyclic codes over the local ring Z4[v]/〈v2+2v〉 of oddly even length and their Gray images.
Finite Fields Their Appl., 2018

Left dihedral codes over Galois rings GR(p2, m).
Discret. Math., 2018

An explicit representation and enumeration for self-dual cyclic codes over F<sub>2<sup>m</sup></sub>+uF<sub>2<sup>m</sup></sub> of length 2<sup>s</sup>.
CoRR, 2018

An explicit representation and enumeration for negacyclic codes of length 2<sup>k</sup>n over Z<sub>4</sub>+uZ<sub>4</sub>.
CoRR, 2018

A class of repeated-root constacyclic codes over 𝔽<sub>p<sup>m</sup></sub>[u]/〈u<sup>e</sup>〉 of Type 2.
CoRR, 2018

Negacyclic codes over the local ring ℤ<sub>4</sub>[v]/〈v<sup>2</sup>+2v〉 of oddly even length and their Gray images.
CoRR, 2018

Constacyclic codes of length np<sup>s</sup> over 𝔽<sub>p<sup>m</sup></sub>+u𝔽<sub>p<sup>m</sup></sub>.
Adv. Math. Commun., 2018

Matrix-product structure of constacyclic codes over finite chain rings 𝔽<sub>p<sup>m</sup></sub>[u]/⟨u<sup>e</sup>⟩.
Appl. Algebra Eng. Commun. Comput., 2018

Complete classification of (δ + α u<sup>2</sup>)-constacyclic codes over 𝔽<sub>3<sup>m</sup></sub>[u]<u<sup>4</sup>> of length 3n.
Appl. Algebra Eng. Commun. Comput., 2018

2017
A Class of Left Dihedral Codes Over Rings 𝔽<sub>q</sub>+u𝔽<sub>q</sub>.
IEICE Trans. Fundam. Electron. Commun. Comput. Sci., 2017

Complete classification of (δ + αu<sup>2</sup>)-constacyclic codes over F<sub>2<sup>m</sup></sub> / < u<sup>4</sup> > of oddly even length.
Discret. Math., 2017

Complete classification for simple root cyclic codes over local rings $\mathbb{Z}_{p^s}[v]/\langle v^2-pv\rangle$.
CoRR, 2017

Matrix-product structure of repeated-root constacyclic codes over finite fields.
CoRR, 2017

On a class of constacyclic codes over the non-principal ideal ring Z<sub>p<sup>s</sup></sub>+uZ<sub>p<sup>s</sup></sub>.
CoRR, 2017

Cyclic codes of odd length over ℤ4 [u] / 〈u k 〉.
Cryptogr. Commun., 2017

2016
On a Class of Left Metacyclic Codes.
IEEE Trans. Inf. Theory, 2016

On left quaternion codes.
Int. J. Comput. Math., 2016

On a Class of (δ+α<i>u</i><sup>2</sup>)-Constacyclic Codes over F<sub><i>q</i></sub>[<i>u</i>]/〈<i>u</i><sup>4</sup>〉.
IEICE Trans. Fundam. Electron. Commun. Comput. Sci., 2016

Concatenated structure of left dihedral codes.
Finite Fields Their Appl., 2016

The Gray image of constacyclic codes over the finite chain ring $F_{p^m}[u]/\langle u^k\rangle$.
CoRR, 2016

Left dihedral codes over Galois rings GR(p<sup>2</sup>, m).
CoRR, 2016

Complete classification of (δ+αu<sup>2</sup>)-constacyclic codes over F<sub>2<sup>m</sup></sub>[u]/\langle u^4\rangle of oddly even length.
CoRR, 2016

Concatenated structure of cyclic codes over ℤ<sub>4</sub> of length 4n.
Appl. Algebra Eng. Commun. Comput., 2016

Cyclic codes over F<sub>2<sup>m</sup></sub>[u] / ⟨u<sup>k</sup>⟩ of oddly even length.
Appl. Algebra Eng. Commun. Comput., 2016

2015
Enumeration and construction of additive cyclic codes over Galois rings.
Discret. Math., 2015

On (α+uβ)-constacyclic codes of length p<sup>s</sup>n over 𝔽<sub>p<sup>m</sup></sub>+u𝔽<sub>p<sup>m</sup></sub>.
CoRR, 2015

Constacyclic codes of length p<sup>s</sup>n over 𝔽<sub>p<sup>m</sup></sub>+u𝔽<sub>p<sup>m</sup></sub>.
CoRR, 2015

On a class of (δ+αu<sup>2</sup>)-constacyclic codes over 𝔽<sub>q</sub>[u]/〈u<sup>4</sup>〉.
CoRR, 2015

Cyclic codes over $\mathbb{F}_{2^m}[u]/\langle u^k\rangle$ of oddly even length.
CoRR, 2015

Constacyclic F<sub>q</sub>-linear codes over F<sub>q<sup>l</sup></sub>.
Appl. Algebra Eng. Commun. Comput., 2015

2011
Multi-focus Image Fusion by Nonsubsampled Shearlet Transform.
Proceedings of the Sixth International Conference on Image and Graphics, 2011


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