Object

sigmastate.basics

SecP521R1

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object SecP521R1 extends BcDlogGroup[SecP521R1Point]

Linear Supertypes
BcDlogGroup[SecP521R1Point], DlogGroup[SecP521R1Point], AnyRef, Any
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Inherited
  1. SecP521R1
  2. BcDlogGroup
  3. DlogGroup
  4. AnyRef
  5. Any
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Value Members

  1. final def !=(arg0: Any): Boolean

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    Definition Classes
    AnyRef → Any
  2. final def ##(): Int

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    Definition Classes
    AnyRef → Any
  3. final def ==(arg0: Any): Boolean

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    Definition Classes
    AnyRef → Any
  4. final def asInstanceOf[T0]: T0

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    Definition Classes
    Any
  5. def calcK(p: BigInteger): Int

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    This function calculates k, the maximum length in bytes of a string to be converted to a Group Element of this group.

    This function calculates k, the maximum length in bytes of a string to be converted to a Group Element of this group.

    returns

    k

    Definition Classes
    BcDlogGroup
  6. def checkCurveMembership(x: BigInteger, y: BigInteger): Boolean

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    Checks if the given x and y represent a valid point on the given curve, i.e.

    Checks if the given x and y represent a valid point on the given curve, i.e. if the point (x, y) is a solution of the curves equation.

    x

    coefficient of the point

    y

    coefficient of the point

    returns

    true if the given x and y represented a valid point on the given curve

    Definition Classes
    BcDlogGroup
  7. def checkMembershipAndCreate(x: BigInteger, y: BigInteger): Try[SecP521R1Point]

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    Definition Classes
    BcDlogGroup
  8. def clone(): AnyRef

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    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  9. def computeLL(groupElements: Array[SecP521R1Point], exponentiations: Array[BigInteger]): SecP521R1Point

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    Attributes
    protected
    Definition Classes
    BcDlogGroup
  10. def computeNaive(groupElements: Array[SecP521R1Point], exponentiations: Array[BigInteger]): SecP521R1Point

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    Attributes
    protected
    Definition Classes
    BcDlogGroup
  11. def createPoint(x: BigInteger, y: BigInteger): SecP521R1Point

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    Create point from its affine coordinates

    Create point from its affine coordinates

    x

    - X coordinate

    y

    - Y coordinate

    Definition Classes
    BcDlogGroup
  12. def createRandomElement(): SecP521R1Point

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    Creates a random member of this Dlog group

    Creates a random member of this Dlog group

    returns

    the random element

    Definition Classes
    BcDlogGroupDlogGroup
  13. def createRandomGenerator(): SecP521R1Point

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    Creates a random generator of this Dlog group

    Creates a random generator of this Dlog group

    returns

    the random generator

    Definition Classes
    DlogGroup
  14. lazy val curve: ECCurve

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    Definition Classes
    BcDlogGroup
  15. def endExponentiateWithPreComputedValues(base: SecP521R1Point): Unit

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    This function cleans up any resources used by exponentiateWithPreComputedValues for the requested base.

    This function cleans up any resources used by exponentiateWithPreComputedValues for the requested base. It is recommended to call it whenever an application does not need to continue calculating exponentiations for this specific base.

    Definition Classes
    BcDlogGroupDlogGroup
  16. final def eq(arg0: AnyRef): Boolean

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    Definition Classes
    AnyRef
  17. def equals(arg0: Any): Boolean

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    Definition Classes
    AnyRef → Any
  18. def exponentiate(base: SecP521R1Point, exponent: BigInteger): SecP521R1Point

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    Raises the base GroupElement to the exponent.

    Raises the base GroupElement to the exponent. The result is another GroupElement.

    returns

    the result of the exponentiation

    Definition Classes
    BcDlogGroupDlogGroup
    Exceptions thrown
  19. def exponentiateWithPreComputedValues(base: SecP521R1Point, exponent: BigInteger): SecP521R1Point

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    Computes the product of several exponentiations of the same base and distinct exponents.

    Computes the product of several exponentiations of the same base and distinct exponents. An optimization is used to compute it more quickly by keeping in memory the result of h1, h2, h4,h8,... and using it in the calculation.

    Note that if we want a one-time exponentiation of h it is preferable to use the basic exponentiation function since there is no point to keep anything in memory if we have no intention to use it.

    returns

    the exponentiation result

    Definition Classes
    BcDlogGroupDlogGroup
  20. def finalize(): Unit

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    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( classOf[java.lang.Throwable] )
  21. lazy val generator: SecP521R1Point

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    The generator g of the group is an element of the group such that, when written multiplicatively, every element of the group is a power of g.

    The generator g of the group is an element of the group such that, when written multiplicatively, every element of the group is a power of g.

    returns

    the generator of this Dlog group

    Definition Classes
    BcDlogGroupDlogGroup
  22. final def getClass(): Class[_]

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    Definition Classes
    AnyRef → Any
  23. def getKLeastSignBytes(x: BigInteger, k: Int): Array[Byte]

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    This function returns the k least significant bytes of the number x

    This function returns the k least significant bytes of the number x

    returns

    k least significant bits of x

    Definition Classes
    BcDlogGroup
  24. def hashCode(): Int

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    Definition Classes
    AnyRef → Any
  25. lazy val identity: SecP521R1Point

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    returns

    the identity of this Dlog group

    Definition Classes
    BcDlogGroupDlogGroup
  26. def inverseOf(groupElement: SecP521R1Point): SecP521R1Point

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    Calculates the inverse of the given GroupElement.

    Calculates the inverse of the given GroupElement.

    groupElement

    to invert

    returns

    the inverse element of the given GroupElement

    Definition Classes
    BcDlogGroupDlogGroup
    Exceptions thrown
  27. final def isInstanceOf[T0]: Boolean

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    Definition Classes
    Any
  28. lazy val k: Int

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    Definition Classes
    BcDlogGroup
  29. lazy val maxLengthOfByteArrayForEncoding: Int

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    This function returns the value <I>k</I> which is the maximum length of a string to be encoded to a Group Element of this group.

    This function returns the value <I>k</I> which is the maximum length of a string to be encoded to a Group Element of this group.

    Any string of length <I>k</I> has a numeric value that is less than (p-1)/2 - 1. <I>k</I> is the maximum length a binary string is allowed to be in order to encode the said binary string to a group element and vice-versa.

    If a string exceeds the <I>k</I> length it cannot be encoded.

    returns

    k the maximum length of a string to be encoded to a Group Element of this group. k can be zero if there is no maximum.

    Definition Classes
    BcDlogGroupDlogGroup
  30. def multiplyGroupElements(groupElement1: SecP521R1Point, groupElement2: SecP521R1Point): SecP521R1Point

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    Multiplies two GroupElements

    Multiplies two GroupElements

    returns

    the multiplication result

    Definition Classes
    BcDlogGroupDlogGroup
    Exceptions thrown
  31. final def ne(arg0: AnyRef): Boolean

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    Definition Classes
    AnyRef
  32. final def notify(): Unit

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    Definition Classes
    AnyRef
  33. final def notifyAll(): Unit

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    Definition Classes
    AnyRef
  34. lazy val order: BigInteger

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    returns

    the order of this Dlog group

    Definition Classes
    BcDlogGroupDlogGroup
  35. def orderGreaterThan(numBits: Int): Boolean

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    Checks if the order of this group is greater than 2^numBits

    Checks if the order of this group is greater than 2^numBits

    returns

    true if the order is greater than 2^numBits; false otherwise.

    Definition Classes
    BcDlogGroupDlogGroup
  36. lazy val p: BigInteger

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    Definition Classes
    BcDlogGroup
  37. lazy val q: BigInteger

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    Definition Classes
    BcDlogGroup
  38. val secureRandom: SecureRandom

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    Definition Classes
    DlogGroup
  39. def simultaneousMultipleExponentiations(groupElements: Array[SecP521R1Point], exponentiations: Array[BigInteger]): SecP521R1Point

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    Computes the product of several exponentiations with distinct bases and distinct exponents.

    Computes the product of several exponentiations with distinct bases and distinct exponents. Instead of computing each part separately, an optimization is used to compute it simultaneously.

    returns

    the exponentiation result

    Definition Classes
    BcDlogGroupDlogGroup
  40. final def synchronized[T0](arg0: ⇒ T0): T0

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    Definition Classes
    AnyRef
  41. def toString(): String

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    Definition Classes
    AnyRef → Any
  42. final def wait(): Unit

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    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  43. final def wait(arg0: Long, arg1: Int): Unit

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    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  44. final def wait(arg0: Long): Unit

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    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  45. val x9params: X9ECParameters

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    Definition Classes
    BcDlogGroup

Inherited from BcDlogGroup[SecP521R1Point]

Inherited from DlogGroup[SecP521R1Point]

Inherited from AnyRef

Inherited from Any

Ungrouped