A New Verifiable Multi-Secret Sharing Scheme Over the Ring of Gaussian Integers
Xuedong Dong, Yuan Gao, Hongyun Gao · 2018
T32 paper proposes a ( t, n) threshold multi-secret sharing scheme over the ring of Gaussian integers. The scheme does not need a secure channel and participants select their secret shadows by themselves. Moreover, the difficulty of factoring the modulus is enhanced. The scheme is based on the Shamir threshold scheme, the RSA cryptosystem, the difficulty of factoring elements in the ring of and intractability of the Discrete Logarithm.