agree w waxwing!
Similar to Shamirs secret sharing, having T-1 shares actually provides you zero information. There is no information leakage. Using a finite field with "wrapping around" is fundamental for this property. The wiki page on SSS is really solid:
https://en.wikipedia.org/wiki/Shamir%27s_secret_sharing
And thanks! It used to be more nuts but i slimmed it down a bit
nick
npub1j8…g26k2
2025-04-12 04:29:33
in reply to nevent1q…hzh0
Author Public Key
npub1j8d6h8mzvc8f2fvysrf09nlkmn7m2ylj32zl5na4tm5e8fd5dqysrg26k2Seen on
wss://nos.lolPublished at
2025-04-12 04:29:33Event JSON
{
"id": "fffd3c66bf02aa5f2a75773359f338cf996fc516c9bf1fae5afc98a5cdbc7420",
"pubkey": "91dbab9f62660e95258480d2f2cff6dcfdb513f28a85fa4fb55ee993a5b46809",
"created_at": 1744432173,
"kind": 1,
"tags": [
[
"e",
"074dc56212a851942ade2f83bde1c36ee33fb0472eec339238ec6f0a74da9f76",
"wss://@nos.lol",
"root"
],
[
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[
"p",
"5ea4648045bb1ff222655ddd36e6dceddc43590c26090c486bef38ef450da5bd"
],
[
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"wss://nostr.bitcoiner.social/"
],
[
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"wss://purplepag.es/"
],
[
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],
[
"r",
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],
[
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[
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],
[
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],
[
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],
"content": "agree w waxwing!\nSimilar to Shamirs secret sharing, having T-1 shares actually provides you zero information. There is no information leakage. Using a finite field with \"wrapping around\" is fundamental for this property. The wiki page on SSS is really solid:\n\nhttps://en.wikipedia.org/wiki/Shamir%27s_secret_sharing\n\nAnd thanks! It used to be more nuts but i slimmed it down a bit",
"sig": "8d00d67827c160c68628f4644f0eff22c74839b6a6cd38a1bae5a4d74fe8b61d4617d2833ebea6277fc2179034ec4c9be9c515c766d408815a32f5d13c5a6a1e"
}