Cryptography over Sextic Extension with Cubic Subfield

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.

• A. Chillali
• M. Sahmoudi

• Integral bases
• Cryptography
• Discrete logarithm problem.

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