(2026-01) Tropical cryptography IV; Digital signatures and secret sharing with arbitrary access structure
2026-01-21
We use tropical algebras as platforms for a very efficient digital signature protocol. Security relies on computational hardness of factoring a given tropical matrix in a product of two matrices of given dimensions; this problem is known to be NP-complete. We also offer a secret sharing scheme with an arbitrary access structure where security of the shared secret is based on computational hardness of the same problem.