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TitleMultivariate public Key cryptography.
Author(s) Jintai Ding, Bo-Yin Yang
TypeBook, Chapter in Book, Conference Proceeding
AbstractA multivariate public key cryptosystem (MPKCs for short) have a set of (usually) quadratic polynomials over a finite field as its public map. Its main security assumption is backed by the NP-hardness of the problem to solve nonlinear equations over a finite field. This family is considered as one of the major families of PKCs that could resist potentially even the powerful quantum computers of the future. There has been fast and intensive development in Multivariate Public Key Cryptography in the last two decades. Some constructions are not as secure as was claimed initially, but others are still viable. The paper gives an overview of multivariate public key cryptography and discusses the current status of the research in this area.
KeywordsGröbner basis, multivariate public key cryptosystem, linear algebra
ISBN978-3-540-88701-0/hbk; 978-3-5
URL http://link.springer.com/chapter/10.1007%2F978-3-540-88702-7_6
LanguageEnglish
Pages193--241
PublisherBerlin: Springer
Year2009
Edition0
Translation No
Refereed No
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