Odd-Char Multivariate Hidden Field Equations

@article{Chen2008OddCharMH,
  title={Odd-Char Multivariate Hidden Field Equations},
  author={Chia-Hsin Owen Chen and Ming-Shing Chen and Jintai Ding and Fabian Werner and Bo-Yin Yang},
  journal={IACR Cryptology ePrint Archive},
  year={2008},
  volume={2008},
  pages={543}
}
We present a multivariate version of Hidden Field Equations (HFE) over a nite eld of odd characteristic, with an extra embedding modi er. Combining these known ideas makes our new MPKC (multivariate public key cryptosystem) more e cient and scalable than any other extant multivariate encryption scheme. Switching to odd characteristics in HFE-like schemes a ects how an attacker can make use of eld equations. Extensive empirical tests (using magma-2.14, the best commercially available F4… CONTINUE READING
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