aspg-40-2821-1792533298 20261020215458 American Scientific Publishing Group admin@americaspg.com American Scientific Publishing Group Pure Mathematics for Theoretical Computer Science PMTCS 2995-3162 2023 3 2 Rama Asad Nadweh Online Islamic University, Department Of Science and Information Technology, Doha, Qatar In this paper we prove that for any ordered basis of a vector space there is a basis for which the greedy code generated using the B-ordering is linear with respect to , where B2 is derived from by a lower triangular matrix P; . In Addition we prove a similar result for self-orthogonal greedy codes. 2023 25 39 2821 https://creativecommons.org/licenses/by/4.0/ 10.54216/PMTCS.030202 https://americaspg.com/journal/40/article/2821 https://americaspg.com/storage/51716552861.pdf