Jian Gao

activity

20132022

most citedOptimal Operator State Migration for Elastic Data Stream Processing

19 citations · 37 across the 12 of their papers we have counts for

collaborators

12 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★ 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]/…

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…

cs.IT2015★ 3 cited

On double cyclic codes over Z_4

Jian Gao, Minjia Shi, Tingting Wu +1

Let $R = Z_{4}$ be the integer ring mod $4$ . A double cyclic code of length $(r, s)$ over $R$ is a set that can be partitioned into two parts that any cyclic shift of the coord…

cs.DC2015★ 19 cited

Optimal Operator State Migration for Elastic Data Stream Processing

Jianbing Ding, Tom Z. J. Fu, Richard T. B. Ma +4

A cloud-based data stream management system (DSMS) handles fast data by utilizing the massively parallel processing capabilities of the underlying platform. An important property o…

cs.IT2014

Self-dual codes and quadratic residue codes over the ring $Z_{9} + u Z_{9}$

Jian Gao, XianFang Wang, Fang-Wei Fu

In this paper, we introduce a new definitions of the Gray weight and the Gray map for linear codes over $Z_{9} + u Z_{9}$ with $u^{2} = u$ . Some results on self-dual codes o…

cs.IT2014

On Linear Codes over $Z_{4} + v Z_{4}$

Jian Gao, Yun Gao, Fang-Wei Fu

Linear codes are considered over the ring $Z_{4} + v Z_{4}$ , where $v^{2} = v$ . Gray weight, Gray maps for linear codes are defined and MacWilliams identity for the Gray wei…

cs.IT2013★ 2 cited

Quasi-Cyclic Codes Over Finite Chain Rings

Jian Gao, Linzhi Shen, Fang-Wei Fu

In this paper, we mainly consider quasi-cyclic (QC) codes over finite chain rings. We study module structures and trace representations of QC codes, which lead to some lower bounds…

cs.IT2013★ 6 cited

Skew Generalized Quasi-Cyclic Codes over Finite Fields

Jian Gao, Linzhi Shen, Fang-Wei Fu

In this work, we study a class of generalized quasi-cyclic (GQC) codes called skew GQC codes. By the factorization theory of ideals, we give the Chinese Remainder Theorem over the…

cs.IT2013★ 1 cited

Generalized Quasi-Cyclic Codes Over $F_{q} + u F_{q}$

Jian Gao, Fang-Wei Fu, Linzhi Shen

Generalized quasi-cyclic (GQC) codes with arbitrary lengths over the ring $F_{q} + u F_{q}$ , where $u^{2} = 0$ , $q = p^{n}$ , $n$ a positive integer and $p$ a prime number, a…

cs.IT2013★ 3 cited

One generator $(1 + u)$ -quasi twisted codes over $F_{2} + u F_{2}$

Jian Gao, Qiong Kong

This paper gives the minimum generating sets of three types of one generator $(1 + u)$ -quasi twisted (QT) codes over $F_{2} + u F_{2}$ , $u^{2} = 0$ . Moreover, it discusses the generating sets a…

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