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I will check out DKG . I am not super invested in Shamir . I just like the mathematical simplicity of it.
I also know there is a lot of discussion on quantum safety of various cryptography algorithms. Will have to check out how susceptible to quantum attack Shamir secret sharing is.
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Since deletion is hard, the DKG fixes the problem of plain Shamir's needing the whole key before partition, making key composition secure. There are some stackers that have experience with how it's solved for FROST (which is based on Shamir's) - @Rsync25 / @BlueSlime, perhaps @dr_orlovsky (?) come to mind.
Reinventing that wheel is costly
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You'll probably want to look into something with a standardized DKG mechanism instead of plain Shamir's (or rolling your own), like FROST.