Xiaoxiao Li

activity

20182024

most citedQuasi-cyclic perfect codes in Doob graphs and special partitions of Galois rings

3 citations · 4 across the 6 of their papers we have counts for

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4 papers · 1 filter

cs.IT2022★ 1 cited

A tight upper bound on the number of non-zero weights of a quasi-cyclic code

Xiaoxiao Li, Minjia Shi, San Ling

Let $C$ be a quasi-cyclic code of index $l (l \geq 2)$ . Let $G$ be the subgroup of the automorphism group of $C$ generated by $ρ^{l}$ and the scalar multiplications…

cs.IT2022

Rank and pairs of Rank and Dimension of Kernel of $Z_{p} Z_{p^{2}}$ -linear codes

Xiaoxiao Li, Minjia Shi, Shukai Wang

A code $C$ is called $Z_{p} Z_{p^{2}}$ -linear if it is the Gray image of a $Z_{p} Z_{p^{2}}$ -additive code. For any prime number $p$ larger than $3$ , the…

cs.IT2022

$Z_{p} Z_{p^{2}}$ -linear codes: rank and kernel

Minjia Shi, Shukai Wang, Xiaoxiao Li

A code $C$ is called $Z_{p} Z_{p^{2}}$ -linear if it is the Gray image of a $Z_{p} Z_{p^{2}}$ -additive code, where $p > 2$ is prime. In this paper, the rank and the dimension of the kernel…

cs.IT2018

How many weights can a cyclic code have ?

Minjia Shi, Xiaoxiao Li, Alessandro Neri +1

Upper and lower bounds on the largest number of weights in a cyclic code of given length, dimension and alphabet are given. An application to irreducible cyclic codes is considered…

A tight upper bound on the number of non-zero weights of a quasi-cyclic code

Rank and pairs of Rank and Dimension of Kernel of Zp​Zp2​-linear codes

Zp​Zp2​-linear codes: rank and kernel

How many weights can a cyclic code have ?

Rank and pairs of Rank and Dimension of Kernel of $Z_{p} Z_{p^{2}}$ -linear codes

$Z_{p} Z_{p^{2}}$ -linear codes: rank and kernel