Version 1
: Received: 16 December 2021 / Approved: 17 December 2021 / Online: 17 December 2021 (15:49:57 CET)
How to cite:
Boumova, S.; Boyvalenkov, P.; Stoyanova, M. Bounds for the Minimum Distance and Covering Radius of Orthogonal Arrays via Their Distance Distributions. Preprints2021, 2021120293 (doi: 10.20944/preprints202112.0293.v1).
Boumova, S.; Boyvalenkov, P.; Stoyanova, M. Bounds for the Minimum Distance and Covering Radius of Orthogonal Arrays via Their Distance Distributions. Preprints 2021, 2021120293 (doi: 10.20944/preprints202112.0293.v1).
Cite as:
Boumova, S.; Boyvalenkov, P.; Stoyanova, M. Bounds for the Minimum Distance and Covering Radius of Orthogonal Arrays via Their Distance Distributions. Preprints2021, 2021120293 (doi: 10.20944/preprints202112.0293.v1).
Boumova, S.; Boyvalenkov, P.; Stoyanova, M. Bounds for the Minimum Distance and Covering Radius of Orthogonal Arrays via Their Distance Distributions. Preprints 2021, 2021120293 (doi: 10.20944/preprints202112.0293.v1).
Abstract
We propose two methods for obtaining estimations on the minimum distance and covering radius of orthogonal arrays. Both methods are based on knowledge about the (feasible) sets of distance distributions of orthogonal arrays with given length, cardinality, factors and strength. New bounds are presented either in analytic form and as products of an ongoing project for computation and investigation of the possible distance distributions of orthogonal arrays with parameters in doable ranges.
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
