FromFiniteFieldIndex
FromFiniteFieldIndex[ind,ff]
gives the element of the finite field ff with index ind.
Details
- FromFiniteFieldIndex has the Listable attribute.
- FromFiniteFieldIndex[ind,ff] is equivalent to ff[ind].
- If ff is FiniteField[p,f,"Polynomial"], then FromFiniteFieldIndex[ind,ff] is equal to IntegerDigits[ind,p,d].{αd-1,…,α0}, where α is the field generator of ff and d is the degree of f.
- If ff is FiniteField[p,f,"Exponential"] and ind≠0, then FromFiniteFieldIndex[ind,ff] is equal to αind-1, where α is the field generator of ff. FromFiniteFieldIndex[0,ff] gives the field zero of ff.
Examples
open allclose allScope (3)
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:
Text
Wolfram Research (2024), FromFiniteFieldIndex, Wolfram Language function, https://reference.wolfram.com/language/ref/FromFiniteFieldIndex.html.
CMS
Wolfram Language. 2024. "FromFiniteFieldIndex." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/FromFiniteFieldIndex.html.
APA
Wolfram Language. (2024). FromFiniteFieldIndex. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/FromFiniteFieldIndex.html