JP Journal of Algebra, Number Theory and Applications

The JP Journal of Algebra, Number Theory and Applications is a prestigious international journal indexed in the Emerging Sources Citation Index (ESCI). It publishes original research papers, both theoretical and applied in nature, in various branches of algebra and number theory. The journal also welcomes survey articles that contribute to the advancement of these fields.

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STATIC CODES AND MONOMIAL TRANSFORMATIONS

Authors

  • Wafaa M. Fakieh
  • S. Khalid Nauman

Keywords:

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

DOI:

https://doi.org/10.17654/0972555525011

Abstract

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.

Received: October 26, 2024
Accepted: December 10, 2024

References

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Published

2025-03-07

Issue

Section

Articles

How to Cite

STATIC CODES AND MONOMIAL TRANSFORMATIONS. (2025). JP Journal of Algebra, Number Theory and Applications, 64(2), 181-197. https://doi.org/10.17654/0972555525011