Martín Avendaño , Ignacio Luengo Velasco
, Miguel A. Marco Buzunáriz
We present a very high degree multivariate cryptosystem. This means that it consists on polynomial maps over finite fields. The encryption map is the composition of alternated linear maps and matrix exponentiations, whereas the individual elementary maps form the private key. This system allows for reasonably short keys, and it does not rely on the hardness of discrete logarithm or integer factorization, which makes it a suitable candidate for a post-quantum use case.
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