Yuan Cao

activity

20172021

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

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

4 citations · 5 across the 8 of their papers we have counts for

collaborators

14 papers

cs.IT2021

Construction and enumeration of left dihedral codes satisfying certain duality properties

Yuan Cao, Yonglin Cao, Fanghui Ma

Let $F_{q}$ be the finite field of $q$ elements and let $D_{2 n} = ⟨ x, y ∣ x^{n} = 1, y^{2} = 1, y x y = x^{n - 1} ⟩$ be the dihedral group of order $n$ . Left ideals of the gr…

cs.IT2020

An explicit expression for Euclidean self-dual cyclic codes of length $2^{k}$ over Galois ring $GR (4, m)$

Yuan Cao, Yonglin Cao, San ling +1

For any positive integers $m$ and $k$ , existing literature only determines the number of all Euclidean self-dual cyclic codes of length $2^{k}$ over the Galois ring $GR (4, m)$ ,…

cs.IT2019

On self-duality and hulls of cyclic codes over $\frac{F _{2^{m}} [ u ]}{⟨ u ^{k} ⟩}$ with oddly even length

Yonglin Cao, Yuan Cao, Fang-Wei Fu

Let $F_{2^{m}}$ be a finite field of $2^{m}$ elements, and $R = F_{2^{m}} [u] / ⟨ u^{k} ⟩ = F_{2^{m}} + u F_{2^{m}} + \dots + u^{k - 1} F_{2^{m}}$ ($u^k=0…

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…

Construction and enumeration of left dihedral codes satisfying certain duality properties

An explicit expression for Euclidean self-dual cyclic codes of length 2k over Galois ring GR(4,m)

On self-duality and hulls of cyclic codes over ⟨uk⟩F2m​[u]​ with oddly even length

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 expression for Euclidean self-dual cyclic codes of length $2^{k}$ over Galois ring $GR (4, m)$

On self-duality and hulls of cyclic codes over $\frac{F _{2^{m}} [ u ]}{⟨ u ^{k} ⟩}$ with oddly even length

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

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

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