| Issue |
MATEC Web Conf.
Volume 392, 2024
International Conference on Multidisciplinary Research and Sustainable Development (ICMED 2024)
|
|
|---|---|---|
| Article Number | 01034 | |
| Number of page(s) | 8 | |
| DOI | https://doi.org/10.1051/matecconf/202439201034 | |
| Published online | 18 March 2024 | |
Symmetric Balanced Incomplete Block Designs (Sbibd) And Construction of Hadamard Rhotrices
1 Department of Mathematics, KG Reddy College of Engineering &Technology, Hyderabad, India
2 Department of CSE, GRIET, Hyderabad, Telangana, India
3 Lovely Professional University, Phagwara, Punjab,India.
* Corresponding author: madhukkdnair@kgr.ac.in
Balanced Incomplete Block Designs (BIBD) are the designs obtained from the arrangement of symbols in blocks following established rules and satisfying relevant necessary conditions. BIBDs have broad applications in many fields.The entries in a Hadamard matrix H are all +1’s or -1’s, satisfying the property HHT = n In [2]. Rhotrix is a new concept in mathematics having applications in cryptography. In this paper, using SBIB designs the Hadamard Rhotrices are constructed. AMS Subject classification: 05B05, 05B20, 62K10.
Key words: SBIB designs / Hadamard matrices / Hadamard Rhotrices / incidence matrices / coupled matrices.
© The Authors, published by EDP Sciences, 2024
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