On polycyclic codes over ๐”ฝ2(๐”ฝ2 + v๐”ฝ2)

In this paper, we study a structure of polycyclic codes over mixed alphabet [Formula: see text], where [Formula: see text]. We have presented the constructions of their generator polynomials. Furthermore, we examine the results on separability using the same. We also investigate their annihilator duals. Further, we study a class of self-orthogonal codes over [Formula: see text] with certain conditions placed on the generator polynomials. Some examples have also been given at the end.

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Publication Details

Journal
Discrete Mathematics Algorithms and Applications
Published
2025-10-07
DOI
https://doi.org/10.1142/s1793830925501459
Primary Topic
Machine Fault Diagnosis Techniques
Type
article
Field-Weighted Citation Impact
0.00
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article

On polycyclic codes over ๐”ฝ2(๐”ฝ2 + v๐”ฝ2)

Discrete Mathematics Algorithms and Applications
Machine Fault Diagnosis Techniques
article

On polycyclic codes over ๐”ฝ2(๐”ฝ2 + v๐”ฝ2)

article en

Abstract

In this paper, we study a structure of polycyclic codes over mixed alphabet [Formula: see text], where [Formula: see text]. We have presented the constructions of their generator polynomials. Furthermore, we examine the results on separability using the same. We also investigate their annihilator duals. Further, we study a class of self-orthogonal codes over [Formula: see text] with certain conditions placed on the generator polynomials. Some examples have also been given at the end.

Discrete Mathematics Algorithms and Applications
Sardar Vallabhbhai National Institute of Technology Surat (IN)
Openalex Percentile: Top 43%
Machine Fault Diagnosis Techniques
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On polycyclic codes over ๐”ฝ2(๐”ฝ2 + v๐”ฝ2) ยท Discrete Mathematics Algorithms and Applications (2025) | TGRS Research Map | TGRS