@inproceedings{81b630fb027545ca8154097341c2c928,
title = "Multiplicative secret sharing schemes from Reed-Muller type codes",
abstract = "Multiplicative linear secret sharing schemes are the building blocks for multiparty computation protocols. Such schemes can be defined in terms of linear codes with an additional algebraic structure. We show that Reed-Muller codes have the required additional structure and we introduce a more general class of Reed-Muller type codes suitable for linear secret sharing and multiparty computation. The codes have highly structured generator and parity check matrices that can be used for very efficient implementations over the binary field.",
keywords = "Linear secret sharing scheme, Reed-Muller code",
author = "Iwan Duursma and Jiashun Shen",
year = "2012",
doi = "10.1109/ISIT.2012.6283999",
language = "English (US)",
isbn = "9781467325790",
series = "IEEE International Symposium on Information Theory - Proceedings",
pages = "264--268",
booktitle = "2012 IEEE International Symposium on Information Theory Proceedings, ISIT 2012",
note = "2012 IEEE International Symposium on Information Theory, ISIT 2012 ; Conference date: 01-07-2012 Through 06-07-2012",
}