# FromFiniteFieldIndex

FromFiniteFieldIndex[ind,ff]

gives the element of the finite field ff with index ind.

# Examples

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## Basic Examples(1)

Create a matrix of finite field elements with given indices:

## Scope(3)

Create a finite field element with a given index:

Use a finite field in the exponential representation:

Create a vector and a matrix of finite field elements with given indices:

## Applications(1)

Create a vector and a matrix of randomly generated finite field elements:

## Properties & Relations(3)

For a single index, FromFiniteFieldIndex[ind,ff] is equivalent to ff[ind]:

For a list of integers, ff[list] gives a single element with polynomial coefficients specified by list:

FromFiniteFieldIndex[list,ff] gives a list of elements with indices specified by list:

Use FiniteFieldIndex to get indices of field elements:

ToFiniteField converts integers to elements of the prime subfield:

FromFiniteFieldIndex gives finite field elements with specified indices:

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

#### Text

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

#### CMS

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

#### APA

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

#### BibTeX

@misc{reference.wolfram_2024_fromfinitefieldindex, author="Wolfram Research", title="{FromFiniteFieldIndex}", year="2023", howpublished="\url{https://reference.wolfram.com/language/ref/FromFiniteFieldIndex.html}", note=[Accessed: 30-May-2024 ]}

#### BibLaTeX

@online{reference.wolfram_2024_fromfinitefieldindex, organization={Wolfram Research}, title={FromFiniteFieldIndex}, year={2023}, url={https://reference.wolfram.com/language/ref/FromFiniteFieldIndex.html}, note=[Accessed: 30-May-2024 ]}