# FromFiniteField

FromFiniteField[a,ff]

converts the element a of the prime subfield of the finite field ff to an integer.

FromFiniteField[expr,ff,t]

converts the elements of the finite field ff in the coefficients of the rational expression expr to polynomials in t, where t represents the field generator.

# Examples

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## Basic Examples(4)

Convert an element of the prime subfield of a finite field to an integer:

Convert an element of a finite field to a polynomial in a variable representing the field generator:

Convert prime field coefficients in a rational expression to integers:

Convert finite field coefficients in a rational expression to polynomials in the field generator:

## Scope(3)

Convert an element of the prime subfield of a finite field to an integer:

b is not an element of the prime subfield:

Convert an element of a finite field to a polynomial in a variable representing the field generator:

Convert finite field coefficients in a rational expression to polynomials in the field generator:

## Properties & Relations(2)

ToFiniteField converts coefficients to finite field elements, with t representing the field generator:

FiniteFieldIndex gives indices of field elements:

FromFiniteField gives integers only for elements of the prime subfield:

Wolfram Research (2023), FromFiniteField, Wolfram Language function, https://reference.wolfram.com/language/ref/FromFiniteField.html.

#### Text

Wolfram Research (2023), FromFiniteField, Wolfram Language function, https://reference.wolfram.com/language/ref/FromFiniteField.html.

#### CMS

Wolfram Language. 2023. "FromFiniteField." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/FromFiniteField.html.

#### APA

Wolfram Language. (2023). FromFiniteField. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/FromFiniteField.html

#### BibTeX

@misc{reference.wolfram_2024_fromfinitefield, author="Wolfram Research", title="{FromFiniteField}", year="2023", howpublished="\url{https://reference.wolfram.com/language/ref/FromFiniteField.html}", note=[Accessed: 29-May-2024 ]}

#### BibLaTeX

@online{reference.wolfram_2024_fromfinitefield, organization={Wolfram Research}, title={FromFiniteField}, year={2023}, url={https://reference.wolfram.com/language/ref/FromFiniteField.html}, note=[Accessed: 29-May-2024 ]}