Constacyclic codes over ๐ฝ <sub> <i>q</i> </sub> <i>๐ฎ๐ฏ</i> and their applications
Let [Formula: see text], where p is an odd prime and r is a positive integer. Consider a ring [Formula: see text], where [Formula: see text] with [Formula: see text] and [Formula: see text] with [Formula: see text]. In this paper, we examine the algebraic structure of constacyclic codes over the ring [Formula: see text] of block length [Formula: see text]. Further, a construction of quantum error-correcting codes (QECCs) from constacyclic codes over [Formula: see text] is also given. Moreover, we derive a number of new QECCs.
Authors
- Mohammad Fareed Ahmad
- Nadeem ur Rehman (ORCID: https://orcid.org/0000-0003-3955-7941)
- Amal S. Alali (ORCID: https://orcid.org/0000-0001-7856-2861)
- Mohd Azmi (ORCID: https://orcid.org/0000-0002-2721-9032)
Institutions
- Princess Nourah bint Abdulrahman University (SA)
- Vignan's Foundation for Science, Technology & Research (IN)
- Aligarh Muslim University (IN)
Publication Details
- Journal
- AKCE International Journal of Graphs and Combinatorics
- Published
- 2024-09-23
- DOI
- https://doi.org/10.1080/09728600.2024.2395336
- Primary Topic
- Coding theory and cryptography
- Type
- article
- Field-Weighted Citation Impact
- 0.00