Title :
On some properties of the (t, n) threshold secret sharing schemes based on the generalized vector space construction
Author :
Alexandrova, T. ; Morita, Hiroyuki
Author_Institution :
Grad. Sch. of Inf. Syst., Univ. of Electro-Commun., Chofu
Abstract :
In this paper some of the properties of the (t, n) threshold secret sharing schemes, based on the generalized vector space construction, are discussed. The relations between the size of the shares and the number of the users n in the (t, n) threshold secret sharing schemes are presented. Moreover, it is shown how a qualified set of users can efficiently recover the secret in case of (2, n) and (3, n) threshold secret sharing schemes, exploiting the regular structure of the matrices corresponding to each of the n users.
Keywords :
cryptography; matrix algebra; vectors; generalized vector space construction; matrix algebra; secret recovery; threshold secret sharing scheme; Cryptography; Galois fields; Information rates; Information systems; Information theory; Stock markets;
Conference_Titel :
Information Theory and Its Applications, 2008. ISITA 2008. International Symposium on
Conference_Location :
Auckland
Print_ISBN :
978-1-4244-2068-1
Electronic_ISBN :
978-1-4244-2069-8
DOI :
10.1109/ISITA.2008.4895378
