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EUROCRYPT
2000
Springer
14 years 2 months ago
General Secure Multi-party Computation from any Linear Secret-Sharing Scheme
We show that verifiable secret sharing (VSS) and secure multi-party computation (MPC) among a set of n players can efficiently be based on any linear secret sharing scheme (LSSS) f...
Ronald Cramer, Ivan Damgård, Ueli M. Maurer
CRYPTO
2006
Springer
232views Cryptology» more  CRYPTO 2006»
14 years 2 months ago
Algebraic Geometric Secret Sharing Schemes and Secure Multi-Party Computations over Small Fields
Abstract. We introduce algebraic geometric techniques in secret sharing and in secure multi-party computation (MPC) in particular. The main result is a linear secret sharing scheme...
Hao Chen, Ronald Cramer
INDOCRYPT
2003
Springer
14 years 4 months ago
On Multiplicative Linear Secret Sharing Schemes
We consider both information-theoretic and cryptographic settings for Multi-Party Computation (MPC), based on the underlying linear secret sharing scheme. Our goal is to study the ...
Ventzislav Nikov, Svetla Nikova, Bart Preneel
ASIACRYPT
2008
Springer
14 years 1 months ago
Strongly Multiplicative and 3-Multiplicative Linear Secret Sharing Schemes
Strongly multiplicative linear secret sharing schemes (LSSS) have been a powerful tool for constructing secure multi-party computation protocols. However, it remains open whether o...
Zhifang Zhang, Mulan Liu, Yeow Meng Chee, San Ling...
TIT
2008
147views more  TIT 2008»
13 years 11 months ago
On Codes, Matroids, and Secure Multiparty Computation From Linear Secret-Sharing Schemes
Error-correcting codes and matroids have been widely used in the study of ordinary secret sharing schemes. In this paper, the connections between codes, matroids, and a special cla...
Ronald Cramer, Vanesa Daza, Ignacio Gracia, Jorge ...