It's impossible to guarantee a long timeframe because of entropy (also called death!). Digital data decay and dies, just like any other thing in the universe. But it can be slowed down.
There's currently no fail-proof and scientifically proven way to guarantee 30+ years of cold data archival. Some projects are aiming to do that, like the Rosetta Disks project of the Long Now museum, although they are still very costly and with a low data density (about 50 MB).
In the meantime, you can use scientifically proven resilient optical mediums for cold storage like Blu-ray Discs HTL type like Panasonic's, or archival grade DVD+R like Verbatim Gold Archival, and keep them in air-tight boxes in a soft spot (avoid high temperature) and out of the light.
Also be REDUNDANT: Make multiple copies of your data (at least 4), and compute hashes to check regularly that everything is alright, and every few years you should rewrite your data on new disks. Also, use a lot of error correcting codes, they will allow you to repair your corrupted data!
Long answer
Why are data corrupted with time? The answer lies in one word: entropy. This is one of the primary and unavoidable force of the universe, which makes systems become less and less ordered in time. Data corruption is exactly that: a disorder in bits order. So in other words, the Universe hates your data. //
Long-Term Archival
Even with the best currently available technologies, digital data can only be cold stored for a few decades (about 20 years). Thus, in the long run, you cannot just rely on cold storage: you need to setup a methodology for your data archiving process to ensure that your data can be retrieved in the future (even with technological changes), and that you minimize the risks of losing your data. In other words, you need to become the digital curator of your data, repairing corruptions when they happen and recreate new copies when needed.
There's no foolproof rules, but here are a few established curating strategies, and in particular a magical tool that will make your job easier:
