ExtensionDegree (Finite Fields Package Symbol)

ExtensionDegree[f] gives the degree of the extension of the field f over its base field.

FieldExp (Finite Fields Package Symbol)

FieldExp[f, n] gives the value of the discrete exponential of n associated with the field f.

FieldInd (Finite Fields Package Symbol)

FieldInd[e] gives the value of the discrete logarithm of e.

FieldIrreducible (Finite Fields Package Symbol)

FieldIrreducible[f, s] gives the irreducible polynomial in the symbol s associated with the field f.

FromElementCode (Finite Fields Package Symbol)

FromElementCode[f, code] gives the field element of f associated with code, a non-negative integer less than the field size of f.

FunctionOfCode (Finite Fields Package Symbol)

FunctionOfCode[g] is a setting for the option FormatType that specifies the format g[c] for an element, where c is the integer code for the element.

FunctionOfCoefficients (Finite Fields Package Symbol)

FunctionOfCoefficients[g] is a setting for the option FormatType that specifies the format g[c_0, c_1, ...] for an element, where c_0, c_1, ... are the coefficients in the ...

GF (Finite Fields Package Symbol)

GF[p, d] gives the Galois field that is a degree d extension of the prime field of p elements.GF[q] gives the Galois field with q elements, for q a prime power.GF[p, ilist] ...

IrreduciblePolynomial (Finite Fields Package Symbol)

IrreduciblePolynomial[s, p, d] gives an irreducible polynomial in the symbol s of degree d over the integers modulo the prime p.

PerfectPowerQ (Finite Fields Package Symbol)

PerfectPowerQ[e, n] gives True if e is a perfect n\[Null]^th power in its field, and False otherwise.