2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/54362Yokoyama's gaugeon formalism is knwon to admit $q$-number gauge transformation. We introduce BRST symmetries into the formalism for the Yang-Mills gauge field. Owing to the BRST symmetry, Yokoyama's physical subsidiary conditions are replaced by a single condition of the Kugo-Ojima type. Our physical subsidiary condition is invariant under the $q$-number gauge transformation. Thus, our physical subspace is gauge invariant.14 pages, LaTeXHigh Energy Physics - Theorytext