Package iaik.security.ec.math.field

Interface Summary

Interface	Description
ExtensionField	This interface specifies important (arithmetical) methods that all extension fields have in common.
ExtensionFieldElement	This interface describes the methods every field element of an extension field has to provide.
Field	This interface specifies important (arithmetical) methods that all (base) fields have in common.
FieldElement	This interface represents elements of finite fields and provides the most important arithmetical methods.
GenericField	This interface specifies important (arithmetical) methods that all fields have in common.
GenericFieldElement	This interface describes the methods every field element has to provide.
PrimeCharacteristicField	This interface specifies important (arithmetical) methods that all fields of prime characteristic have in common.
PrimeCharacteristicFieldElement	This interface describes the methods every prime characteristic field element has to provide.

Class Summary

Class	Description
AbstractFieldBenchmark	Abstract base class for all field benchmarks
AbstractPrimeField	This class implements arbitrary finite fields Fp of odd characteristic.
BinaryField	This class implements arbitrary finite fields of even characteristic.
BinaryFieldBenchmark	Binary field arithmetic benchmark
BinaryFieldByBitLengthFactory	This class is a factory for generating binary finite fields for a given bitlength.
BinaryFieldByIrreducibleFactory	This class is a factory for generating binary finite fields for a given irreducible.
BinaryFieldElement	This class represents a mutable binary field element.
BinaryFieldTestHelper
BouncyCastleFieldBenchmark	Benchmark for field operations in BouncyCastle.
ExtensionFieldFactory	This class serves as factory to construct extension fields of arbitrary degrees.
ExtensionFieldTestHelper
FieldTestHelper<T extends GenericField>
FrobeniusSexticExtensionOverQuadraticConstants	Class containing common constants used to compute the Frobenius map on sextic over quadratic tower extension fields and the Frobenius endomorphism on the twist of Barreto Naehrig curves.
IntBenchmark	Int arithmetic benchmark
PrimeCharacteristicFieldTestHelper<T extends PrimeCharacteristicField>
PrimeFieldBenchmark	Prime field arithmetic benchmark
PrimeFieldByBitLengthFactory	This factory serves prime fields of a specific bitlength.
PrimeFieldByPrimeFactory	This field factory serves prime fields for specific primes that pass the Miller-Rabin test with certainty (1 - 2-100).
PrimeFieldElement	This class represents a mutable prime field element.
PrimeFieldSumABFactory	This field factory serves prime fields for Barreto-Naehrig curves that pass the Miller-Rabin test with certainty (1 - 2-100).
PrimeFieldTestHelper
QuadraticExtensionField	Implements quadratic extension fields of prime fields.
QuadraticExtensionFieldByPrimeFactory	This field factory serves quadratic extension fields of prime characteristic for primes that pass the Miller-Rabin test with certainty (1 - 2-100).
QuadraticExtensionFieldElement	This class represents elements of quadratic extension fields.
SexticExtensionFieldElement	This class stores field elements of sextic extensions over some other field.
SexticOverQuadraticTowerExtensionField	This class implements Fp12 as sextic extension over a quadratic extension of the prime field.
TestBinaryField
TestBinaryFieldFactories
TestBinaryInverterDividers
TestBinaryPolynomial
TestDivisibilityChecker	Tests for DivisibilityTester.
TestExponentiators
TestFastEquationSolver
TestFastReductionBinaryFields
TestFastReductionPrimeFields
TestIntGenerated
TestIrreducibleFactory
TestOccurredFieldBugs
TestPrimeField
TestPrimeFieldFactories
TestPrimeFieldSumAB
TestQuadraticExtensionField
TestSexticOverQuadraticExtensionField
TestSpecialModulusPrimeField
TestStupidEquationSolver

Enum Summary

Enum	Description
FieldTypes	Enumeration holding the different field types that are implemented in this library.
TestBinaryInverterDividers.Inverter