For that small a cable run, the difference in price between Cat5 and Cat6 is negligible. No reason not to run Cat6. Cat6 will handle 10 Gigabit ethernet and, therefore, is more "future proof."
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The options are cat 5, cat 5e, cat 6, and cat 6a.
The sweet spot is cat 6, rated for gigabit ethernet at least. Cat 6a is rated for 10 Gbps, although cat 6 might also be able to do it, but not guaranteed. Cat 6a is MUCH more expensive than cat 6.
Bottom line, get cat 6.
I assumed that your scratchy connection is wireless. If not, and you already have ethernet wires running that have a lot of noise, then consider shielded cable or cat 6a, or run them in a metal conduit.