Symmetric Balanced Incomplete Block Designs (Sbibd) And Construction of Hadamard Rhotrices

Author:

Manivilasam Madhusoodanan Nair,Kalyan Rao H.,Nijhawan Ginni

Abstract

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.

Publisher

EDP Sciences

Reference8 articles.

1. Mohan R.N., Kageyama S., and Nair M.M., On a characterization of symmetric balanced incomplete block designs, Discussiones Math. Probability and Statistics 2441-58 (2004),

2. A construction of Hadamard matrices

3. The concept of rhotrix in mathematical enrichment

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