Publication Type : Journal Article
Publisher : Springer Science and Business Media LLC
Source : Applicable Algebra in Engineering, Communication and Computing
Url : https://doi.org/10.1007/s00200-025-00683-9
Campus : Coimbatore
School : School of Physical Sciences
Year : 2025
Abstract : In this paper, we constructed two nonzero homogeneous weight codes and three nonzero homogeneous weight codes (Two-weight and three-weight codes) over ℤpm using projective Hjelmslev geometry. The Gray images of two-weight linear codes obtained over ℤ4 are optimal projective linear codes over 픽2 with respect to the Griesmer bound. Additionally, we looked into the minimum distance of the dual code using the columns of the generator matrices. Further, we discussed the applications of Gray images of constructed codes in secret sharing schemes and strongly regular graphs.
Cite this Research Publication : J. Prabu, J. Mahalakshmi, Two families of $${\mathbb {Z}}_{p^{m}}$$-linear codes and their applications, Applicable Algebra in Engineering, Communication and Computing, Springer Science and Business Media LLC, 2025, https://doi.org/10.1007/s00200-025-00683-9