A linear light source is provided that includes a light-emitting element and a light guide, which has a core with an end and a longitudinal extension. In the operating state, light from the light emitting element is injected on the end and is guided along the longitudinal extension. The core includes at least one scattering element that changes a propagation direction of the light guided in the core. The light guide having a lateral surface with a light-blocking coating at least partially or in portions thereof. The light-blocking coating being structured so that the light guide has a light-transmissive portion extending along the longitudinal extension and so that the light scattered on the at least one scattering element and striking the light-transmissive portion is able to escape from the light guide, at least partially. The coating having a light transmittance that is lower than a light transmittance of the light-transmissive portion.