>> Then there's the question of whether you want to trust a company with
>> your music and photos - a company that could potentially go defunct,
>> and take your data with them.
>
> and any
> encryption based on factoring large primes is a TOTAL illusion.  the
> gov't pushed that form of encryption precisely because they secretly
> had an algorithm to crack any factoring problem quickly, and they were
> very upset when a mathematician published results along those same
> lines.

BUT ... in order to facilitate that fast-factoring algorithm, the
government arbitrarily restricted the encryption key to 56 bits, down from
64 bits in the original DES specification.

Today's encryption keys are 128 bits, or more.

However, the government is no longer using IBM System/370 Model 168 and
Amdahl 470 V/6 mainframes for cracking codes; they're now using
arbitrarily large "clusters" of very fast x86 PCs.

https://computing.llnl.gov/linux/yaci.html




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