Hamming Space Orthogonal Arrays Krawtchouk Polynomials Distance Distributions
Issue Date:
8-Mar-2021
Publisher:
"Prof. Marin Drinov" Publishing House of Bulgarian Academy of Sciences
Citation:
Boumova, S., Ramaj, T., Stoyanova, M. Computing distance distributions of ternary orthogonal arrays. Comptes rendus de l'Académie bulgare des Sciences, 74, 2, "Prof. Marin Drinov" Publishing House of Bulgarian Academy of Sciences, 2021, DOI:10.7546/CRABS.2021.02.03, 177-189.
Series/Report no.:
Comptes rendus de l'Académie bulgare des Sciences;74(2)
Abstract:
Orthogonal Arrays (OA) play important roles in statistics (used in designing experiments), computer science and cryptography. The most important problems are those about their existence and classification of non-isomorphic classes of OA with given parameters. The solving of these problems requires possible Hamming distance distributions of studied orthogonal array to be determined. In this paper we propose a method for computing of distance distributions of OA with given parameters. Comparing computed possible distance distributions of the considered OA with ones of its derivative OAs we proved some nonexistence results and found some restrictions over structure of the studied OA.
