5 research outputs found
Linear threshold multisecret sharing schemes
In a multisecret sharing scheme, several secret values are distributed among a set of n users, and each secret may have a differ-
ent associated access structure. We consider here unconditionally secure schemes with multithreshold access structures. Namely, for every subset P of k users there is a secret key that can only be computed when at
least t of them put together their secret information. Coalitions with at most w users with less than t of them in P cannot obtain any information about the secret associated to P. The main parameters to optimize are
the length of the shares and the amount of random bits that are needed to set up the distribution of shares, both in relation to the length of the secret. In this paper, we provide lower bounds on this parameters.
Moreover, we present an optimal construction for t = 2 and k = 3, and a construction that is valid for all w, t, k and n. The models presented use linear algebraic techniques.Peer ReviewedPostprint (author’s final draft
La espectroscopía raman aplicada a la identificación de materiales pictóricos
Peer ReviewedPostprint (published version
Linear threshold multisecret sharing schemes
In a multisecret sharing scheme, several secret values are distributed among a set of n users, and each secret may have a differ-
ent associated access structure. We consider here unconditionally secure schemes with multithreshold access structures. Namely, for every subset P of k users there is a secret key that can only be computed when at
least t of them put together their secret information. Coalitions with at most w users with less than t of them in P cannot obtain any information about the secret associated to P. The main parameters to optimize are
the length of the shares and the amount of random bits that are needed to set up the distribution of shares, both in relation to the length of the secret. In this paper, we provide lower bounds on this parameters.
Moreover, we present an optimal construction for t = 2 and k = 3, and a construction that is valid for all w, t, k and n. The models presented use linear algebraic techniques.Peer Reviewe
REUNI+D. Red Universitaria de Investigación e Innovación Educativa. Ciencia Abierta para la Ciudadanía
REUNI+D es una red de grupos de investigación reconocidos del ámbito educativo. Pretende explorar y difundir métodos alternativos de investigación educativa. Impulsar las actividades I+D+I y contribuir al avance del conocimiento. Fomentar el conocimiento abierto y la vinculación de la ciencia con la ciudadanía