Recognition and Analysis of Image Patterns Based on Latin Squares by Means of Computational Algebraic Geometry

Raúl M. Falcón
Additional contact information
Raúl M. Falcón: Department of Applied Mathematics I, University of Seville, 41012 Sevilla, Spain

Mathematics, 2021, vol. 9, issue 6, 1-26

Abstract: With the particular interest of being implemented in cryptography, the recognition and analysis of image patterns based on Latin squares has recently arisen as an efficient new approach for classifying partial Latin squares into isomorphism classes. This paper shows how the use of a Computer Algebra System (CAS) becomes necessary to delve into this aspect. Thus, the recognition and analysis of image patterns based on these combinatorial structures benefits from the use of computational algebraic geometry to determine whether two given partial Latin squares describe the same affine algebraic set. This paper delves into this topic by focusing on the use of a CAS to characterize when two partial Latin squares are either partial transpose or partial isotopic.

Keywords: image pattern recognition; partial Latin square; affine algebraic set; isomorphism; partial transpose; partial isotopic (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/9/6/666/pdf (application/pdf)
https://www.mdpi.com/2227-7390/9/6/666/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:9:y:2021:i:6:p:666-:d:521265

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().