ℓ-Invertible Cycles for $\mathcal{M}$ ultivariate $\mathcal{Q}$ uadratic ( ${\mathcal{MQ}}$ ) Public Key Cryptography View Full Text


Ontology type: schema:Chapter      Open Access: True


Chapter Info

DATE

2007

AUTHORS

Jintai Ding , Christopher Wolf , Bo-Yin Yang

ABSTRACT

We propose a new basic trapdoor \(\mathcal{\ell}\)IC (ℓ-Invertible Cycles) of the mixed field type for \(\mathcal{M}\)ultivariate \(\mathcal{Q}\)uadratic public key cryptosystems. This is the first new basic trapdoor since the invention of Unbalanced Oil and Vinegar in 1997. \(\mathcal{\ell}\)IC can be considered an extended form of the well-known Matsumoto-Imai Scheme A (also MIA or C ∗ ), and share some features of stagewise triangular systems. However \({\mathcal{\ell}}\)IC has very distinctive properties of its own. In practice, \({\mathcal{\ell}}\)IC is much faster than MIA, and can even match the speed of single-field \({\mathcal{MQ}}\) schemes. More... »

PAGES

266-281

References to SciGraph publications

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  • 2000. Efficient Algorithms for Solving Overdefined Systems of Multivariate Polynomial Equations in ADVANCES IN CRYPTOLOGY — EUROCRYPT 2000
  • Book

    TITLE

    Public Key Cryptography – PKC 2007

    ISBN

    978-3-540-71676-1
    978-3-540-71677-8

    Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/978-3-540-71677-8_18

    DOI

    http://dx.doi.org/10.1007/978-3-540-71677-8_18

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1025253739


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