I don't have any experience with the Majik and only a little with a Classik but, as a thought, if it's the remote itself that's putting out a weak signal you could try a relatively inexpensive learning remote of another brand. Since the Linn remote codes probably won't be available for automatic programming, you'd need to 'teach' the new remote the various commands using the old remote. Once you understand how that works it takes only a few minutes.
I've used the Sony RM-VL700 and RM-VL900 with several brands of exotic audio gear and they've been an improvement over the original remotes in every way, besides being able to control other devices in the system at the same time. The 700 is discontinued but is still available online for around $30.
I've used the Sony RM-VL700 and RM-VL900 with several brands of exotic audio gear and they've been an improvement over the original remotes in every way, besides being able to control other devices in the system at the same time. The 700 is discontinued but is still available online for around $30.