Verify the existence of the t-(v,k,?) design structure with a web application

Senad  Orhan

doi:10.35335/jbst.v14i1.6102

Authors

Senad Orhan University of Prishtina “Hasan Prishtina”, Albania

DOI:

https://doi.org/10.35335/jbst.v14i1.6102

Keywords:

Design structure, Mathematics, Verification algorithms, Web application, t-(v,k,λ)

Abstract

This paper deals with the development and implementation of a web application to check the existence and verification of design structures , an important area of design combinatorial theory. Designs are mathematical structures that find use in data encoding, experimental design, and computer networks. The traditional process of verifying the existence of these designs requires manual methods or algorithms coded in various programming languages, which is often complex and time-consuming. Through this web application, advanced algorithms have been integrated to enable an intuitive and automated approach. The application includes a user-friendly interface and a powerful backend system, which processes the input parameters , , and to determine whether a design that meets these criteria exists. Users can also explore previous results, modify parameters, and view other representations of possible designs. The results show that the application is efficient in verifying existing structures and generating new designs within user-defined constraints. This tool promises to be a valuable aid for researchers and practical applications in combinatorics and related disciplines. In conclusion, the application improves on the traditional approach and provides an easy-to-use platform for analyzing designs. .

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