GOMSS: A Simple Group Oriented ( t, m, n ) Multi‐secret Sharing Scheme

LWE‐based verifiable essential secret image sharing scheme ((t,s,k,n)$( {t,s,k,n} )$ ‐ VESIS)

“…To share multiple secrets among participants, a dealer employs a multi‐secret sharing $$( {{\mathrm{MSS}}} )$$ scheme [14–22]. $${\mathrm{MSS}}$$ schemes can be categorized into two types based on secret reconstruction: multi‐stage secret sharing $$( {{\mathrm{MSSS}}} )$$ and general MSS $$( {{\mathrm{GMSS}}} )$$.…”

“…Depending on the specific situation, one category may be preferred over the other. In a $${\mathrm{GMSS}}$$ scheme [17, 20, 21], all secrets are reconstructed simultaneously in one stage, whereas in a $${\mathrm{MSSS}}$$ scheme [15, 16, 22], the secrets have different levels of importance and authorized subsets of participants can recover only one secret in each stage. These categories provide options for selecting the appropriate $${\mathrm{MSS}}$$ scheme based on the specific requirements of the situation.…”

“…To share multiple secrets among participants, a dealer employs a multi-secret sharing (MSS) scheme [14][15][16][17][18][19][20][21][22]. MSS schemes can be categorized into two types based on secret reconstruction: multi-stage secret sharing (MSSS) and general MSS (GMSS).…”