Fable + Opus authored CUDA simulations running on local hardware
This is a shot in the dark to citizen-scientists / other academics. I'm looking for potential collaborators.
I have been having great success using Fable + Opus to write CUDA code for numerical simulations on my local consumer grade rig (V100s, RTX2080 Ti).
I am not an academic, but have a great interest in error detection and correction.
I have just completed an exhaustive search for a class of CRC-32 generator polynomials that are simultaneously able to correct single error bursts (SBC) of up to 5-bits while guaranteeing that no two error bursts with the same characteristics are in the data of interest (DBD).
I have the complete population statistics for all CRC-32 generator polynomials.
I can reproduce the results in around 1 day -- this required considerable effort.
There are 18 winners, each with a particular algebraic structure that lands the SBC+DBD range north of 1 kiB. I have the exact profile for the standard CRC-32 generator polynomial, which has a SBC+DBD range of around 150 bytes. These figures are approximate, but I have measured and cataloged these down to the exact bit for every CRC-32 generator polynomial.
Further analysis is required, but I believe these winners also have good HD=6 error detection ranges.
Some pictures..
No, I did not do the Math. That's Fable + Opus. My main contribution was sponsoring the activity in my now very warm room (winter here :-) The other contribution from me was decades of low-level code optimization. I basically forced the LLM to try many different hacks to get the simulation speed to acceptable levels (Original ETA was 188 days now 1 day)