@article{Du2025, 
author = {Zhen Du and Chuanze Niu},
title = {Weight distributions of a class of skew cyclic codes over        M          2        (            F              2        )},
year = {2025},
journal = {AIMS Mathematics},
volume = {10},
number = {5},
pages = {11435-11443},
keywords = {skew cyclic code, matrix ring, weight distribution, module homomorphism},
url = {https://www.sciopen.com/article/10.3934/math.2025520},
doi = {10.3934/math.2025520},
abstract = {Let        M          2        (            F              2        ) be the ring of matrices of order    2  ×  2 over finite field              F              2       and    ω  ∈      M          2        (            F              2        ) be a cubic primitive root of unity. For any even positive integer    t, the weight distributions of the skew cyclic codes of length    3  t with parity check polynomials        x          t        −      ω          i        ,  i  =  0  ,    1  ,    2 and    (      x          t        −      ω          j        )  (      x          t        −      ω          k        ),    0  ≤  j  <  k  ≤  2 were determined.}
}