Jian Gao

activity

20172022

collaborators

4 papers

math.RA2022

On generalized quasi-cyclic codes over $Z_{4}$

Jian Gao, Xiangrui Meng, Fang-Wei Fu

Based on good algebraic structures and practicabilities, generalized quasi-cyclic (GQC) codes play important role in coding theory. In this paper, we study some results on GQC code…

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…

cs.IT2018

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]/…

math.NT2017

On the Glide of 3x+1 Problem

Yuyin Yu, Dingyi Pei

For any positive integer $n$ , define an iterated function $$ f(n)=\left\{\begin{array}{ll} n/2, & \mbox{$n$ even,} \\ 3n+1, & \mbox{$n$ odd.} \end{array} \right. $$ Suppose $k$ (if…

On generalized quasi-cyclic codes over Z4​

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

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

On the Glide of 3x+1 Problem

On generalized quasi-cyclic codes over $Z_{4}$

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

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