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Polynomial factorization over finite fields with non-prime order

One can easily factor a polynomial over finite fields of prime order, using Factor command: ...
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Elliptic curve cryptography in Mathematica

I can find no resources for doing elliptic curve cryptography. I have used the finite field package, but I find it cumbersome and it does not seem to have any builtin methods for ECC. How can I get ...
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Generating various irreducible polynomials over finite fields

Mathematica offers the package FiniteFields, which supports generation of an irreducible polynomial in a finite field: IrreduciblePolynomial[s,p,d]: gives an ...