Yuan Cao

activity

20152023

p^{s} n

over

F_{p^{m}} + u F_{p^{m}}

12 citations · 28 across the 22 of their papers we have counts for

collaborators

Showing 2019Show all

5 papers · 1 filter

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…

cs.IT2019

Self-dual binary $[8 m, 4 m]$ -codes constructed by left ideals of the dihedral group algebra $F_{2} [D_{8 m}]$

Yuan Cao, Yonglin Cao, Fang-Wei Fu +1

Let $m$ be an arbitrary positive integer and $D_{8 m}$ be a dihedral group of order $8 m$ , i.e., $D_{8 m} = ⟨ x, y ∣ x^{4 m} = 1, y^{2} = 1, y x y = x^{- 1} ⟩$ . Left ideals of the dihed…

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

Self-dual binary [8m,4m]-codes constructed by left ideals of the dihedral group algebra F2​[D8m​]

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

Self-dual binary $[8 m, 4 m]$ -codes constructed by left ideals of the dihedral group algebra $F_{2} [D_{8 m}]$