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120 views

Finite Field matrix rank calculation

How does one define a matrix over $\mathrm{GF}(p^r)$ in Mathematica in order to compute rank? I am working with $\mathrm{GF}(2)$?
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Sum of zeros in finite Galois field

In the following code: << FiniteFields` GF[2][{0}] + GF[2][{0}] == GF[2][{0}] GF[2][{0}] + GF[2][{0}] + GF[2][{0}] == GF[2][{0}] Why does the second line ...
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Package FiniteFields

In a Mathematica session, I evaluate: Needs["FiniteFields`"]; fld = GF[2]; Now, for example, I'd like to compute $a^3+a^5$ for $a \in{Z_2}$. The result I'd like ...
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326 views

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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Equality of Galois Fields (GF[5][{4}]^4 = GF[5][{3}]^4)?

under FiniteFields, how can i test if, for example, if GF[5][{3}]^4 == GF[5][{2}]^4 Using regular == won't work.
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Simple recursive function?

I'm new in Mathematica and need some help. I'm trying to make a recursive function but I'm not sure how to iterate through more than one item. To be more clear, take this pseudo code for example: ...
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265 views

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 ...