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symbolic expression

asked 2019-12-30 21:01:00 -0500

santoshi gravatar image

how to write symbolic expression over finite field

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answered 2019-12-31 04:00:14 -0500

tmonteil gravatar image

You can not define, say a cosinus over a finite field, but you can define polynomials as follows:

sage: K = GF(7)
sage: K
Finite Field of size 7
sage: R.<x,y> = K[]
sage: R
Multivariate Polynomial Ring in x, y over Finite Field of size 7
sage: P = 1+x^2+x*y^3
sage: P
x*y^3 + x^2 + 1
sage: P.parent()
Multivariate Polynomial Ring in x, y over Finite Field of size 7
sage: P(2,3)
3
sage: P(2,10)
3
sage: P(2,10).parent()
Finite Field of size 7
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Asked: 2019-12-30 21:01:00 -0500

Seen: 51 times

Last updated: Dec 31 '19