← Entropy Atlas
Secret & unpredictable
Secret sharing & masking shares
A secret can be split so that only a threshold of participants can reconstruct it.
Evaluation card
What “plenty” means here.
- Required property
- Independent uniform coefficients or masks in the scheme’s finite field.
- If it fails
- Weak random coefficients can leak information to fewer participants than the threshold promises.
- Relevant attacker
- A coalition holding some shares, possibly combined with observations of share generation.
- The Plenty Line
- Generate every random coefficient at the field size and security level required by the sharing scheme.
- Why more is not automatically better
- Extra source bytes add nothing if mapping into the field is biased or shares are transported insecurely.
Where it appears
Recognize the pattern.
- 01Shamir secret sharing
- 02threshold key custody
- 03secure multiparty computation masks
The Plentropy rule
Protect the requirement, then stop.
Generate every random coefficient at the field size and security level required by the sharing scheme.
Once that claim has comfortable evidence and margin, improve the next limiting factor instead of worshipping a larger entropy number.