3 papers
cs.IT2022
-linear codes: rank and kernel
Minjia Shi, Shukai Wang, Xiaoxiao Li
A code is called -linear if it is the Gray image of a -additive code, where is prime. In this paper, the rank and the dimension of the kernel…
math.CO2021
Zero sum sets in abelian groups
Minjia Shi, Denis S. Krotov, Xiaoxiao Li +1
The distribution of cardinalities of zero-sum sets in abelian groups is completely determined. A complex summation involving the Möbius function is given for the general abelian gr…
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…