Package dk.jonaslindstrom.ruffini.finitefields

Class PrimeField

java.lang.Object

dk.jonaslindstrom.ruffini.common.structures.QuotientRing<Integer>

dk.jonaslindstrom.ruffini.integers.structures.IntegersModuloN

dk.jonaslindstrom.ruffini.finitefields.PrimeField

All Implemented Interfaces:

AdditiveGroup<Integer>, CommutativeMonoid<Integer>, Field<Integer>, Group<Integer>, Monoid<Integer>, Ring<Integer>, Semigroup<Integer>, SemiRing<Integer>, Set<Integer>

public class PrimeField
extends IntegersModuloN
implements Field<Integer>

Field Summary

Fields inherited from class dk.jonaslindstrom.ruffini.common.structures.QuotientRing

mod, ring

Constructor Summary

Constructors

Constructor	Description
PrimeField(Integer p)

Method Summary

Modifier and Type	Method	Description
FiniteField	asFiniteField()
Integer	invert(Integer a)	Return the inverse a-1.
String	toString()

Methods inherited from class dk.jonaslindstrom.ruffini.integers.structures.IntegersModuloN

getModulus

Methods inherited from class dk.jonaslindstrom.ruffini.common.structures.QuotientRing

add, equals, identity, multiply, negate, toString, zero

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, wait, wait, wait

Methods inherited from interface dk.jonaslindstrom.ruffini.common.abstractions.AdditiveGroup

doubling, isZero, negate, scale, scale, subtract, sum

Methods inherited from interface dk.jonaslindstrom.ruffini.common.abstractions.CommutativeMonoid

add, add, add, zero

Methods inherited from interface dk.jonaslindstrom.ruffini.common.abstractions.Field

divideInt

Methods inherited from interface dk.jonaslindstrom.ruffini.common.abstractions.Group

divide

Methods inherited from interface dk.jonaslindstrom.ruffini.common.abstractions.Monoid

identity, isIdentity, power

Methods inherited from interface dk.jonaslindstrom.ruffini.common.abstractions.Semigroup

multiply, multiply, multiply

Methods inherited from interface dk.jonaslindstrom.ruffini.common.abstractions.SemiRing

integer, multiply, multiply

Methods inherited from interface dk.jonaslindstrom.ruffini.common.abstractions.Set

equals, toString

Constructor Details

PrimeField

public PrimeField(Integer p)

Method Details

invert

public Integer invert(Integer a)

Description copied from interface: Group

Return the inverse a^-1.

Specified by:

invert in interface Group<Integer>

toString

public String toString()

Overrides:

toString in class QuotientRing<Integer>

asFiniteField

public FiniteField asFiniteField()