In linear coding theory, monomial transformations play crucial roles in various contexts, including the proof of the well-known MacWilliams Extension Theorem. In this paper, we introduce static and adstatic codes. Along with some elementary observations, we prove that static and adstatic codes are invariant under monomial transformations and that this property is Morita invariant.

MacWilliams extension property, monomial transformation, static codes, adstatic codes.

Received: October 26, 2024; Accepted: December 10, 2024; Published: March 7, 2025

How to cite this article: Wafaa M. Fakieh and S. Khalid Nauman, Static codes and monomial transformations, JP Journal of Algebra, Number Theory and Applications 64(2) (2025), 181‑197. https://doi.org/10.17654/0972555525011

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

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