Abstract
In this chapter we introduce the MQDSS signature scheme, which is one of the few provably secure multivariate public key cryptosystems. We start by a description of the MQ based identification scheme which allows a prover to identify himself using a zero knowledge proof based on the knowledge of the solution of a random system. We then describe the Fiat-Shamir construction of transforming an identification to a signature scheme and finally present the MQDSS signature scheme.
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Notes
- 1.
To simplify the description of the scheme, we assume that the system \(\mathcal {P}\) does not contain constant terms.
- 2.
In practice this is realized by a collision- and pre-image resistant hash function.
- 3.
Here, we assume that the PRNG used to generate the system \(\mathcal {P}\) from the seed sk works fine.
References
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Ding, J., Petzoldt, A., Schmidt, D.S. (2020). MQDSS. In: Multivariate Public Key Cryptosystems. Advances in Information Security, vol 80. Springer, New York, NY. https://doi.org/10.1007/978-1-0716-0987-3_6
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DOI: https://doi.org/10.1007/978-1-0716-0987-3_6
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