Cryptography Over Sextic Extension With Cubic Subfield

Abdelhakim Chillali, Mohammed Sahmoudi · Zenodo (CERN European Organization for Nuclear Research) · 2015

In this paper, we will give a cryptographic application over the integral closure O_Lof sextic extension L, namely L is an extension of Q of degree 6 in the form Q(a,b), which is a rational quadratic and monogenic extension over a pure monogenic cubic subfield K generated by a who is a root of monic irreducible polynomial of degree 2 andb is a root of irreducible polynomial of degree 3.

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