Mixed Materials
Multi-dimensional Constacyclic Codes of Arbitrary Length over Finite Fields
| Title: | Multi-dimensional Constacyclic Codes of Arbitrary Length over Finite Fields |
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| Additional Titles: | Multi-dimensional cyclic code is a natural generalization of cyclic code. In an earlier paper we explored two-dimensional constacyclic codes over finite fields. Following the same technique, here we characterize the algebraic structure of multi-dimensional constacyclic codes, in particular three-dimensional $(α,β,γ)$- constacyclic codes of arbitrary length $s\ell k$ and their duals over a finite field $\mathbb{F}_q$, where $α,β,γ$ are non zero elements of $\mathbb{F}_q$. We give necessary and sufficient conditions for a three-dimensional $(α,β,γ)$- constacyclic code to be self-dual. |
| Authors: | Bhardwaj, Swati, Raka, Madhu |
| Publisher Information: | 2022-01-04 |
| Document Type: | Mixed materials |
| Abstract: | 21 pages. arXiv admin note: text overlap with arXiv:2007.14921 |
| Index Terms: | Information Theory, 94B15, 94B05, 11T71, text |
| URL: | |
| Availability: | Open access content. Open access content |
| Other Numbers: | COO oai:arXiv.org:2201.01031 1333742352 |
| Contributing Source: | CORNELL UNIV From OAIster®, provided by the OCLC Cooperative. |
| Accession Number: | edsoai.on1333742352 |
| Database: | OAIster |
| Description not available. |