International Association for Cryptologic Research

International Association
for Cryptologic Research


Paper: New Monotone Span Programs from Old

Ventzislav Nikov
Svetla Nikova
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Abstract: In this paper we provide several known and one new constructions of new linear secret sharing schemes (LSSS) from existing ones. This constructions are well-suited for didactic purposes, which is a main goal of this paper. It is well known that LSSS are in one-to-one correspondence with monotone span programs (MSPs). MSPs introduced by Karchmer and Wigderson, can be viewed as a linear algebra model for computing a monotone function (access structure). Thus the focus is in obtaining a MSP computing the new access structure starting from the MSPs that compute the existing ones, in the way that the size of the MSP after the transformation is well defined. Next we define certain new operations on access structures and prove certain related properties.
  title={New Monotone Span Programs from Old},
  booktitle={IACR Eprint archive},
  keywords={linear secret sharing schemes, monotone span programs},
  note={ 12722 received 31 Oct 2004},
  author={Ventzislav Nikov and Svetla Nikova},