t

sigmastate.basics

DlogGroup

trait DlogGroup[ElemType <: ECPoint] extends AnyRef

This is the general interface for the discrete logarithm prime-order group. Every class in the DlogGroup family implements this interface.

The discrete logarithm problem is as follows: given a generator g of a finite group G and a random element h in G, find the (unique) integer x such that g^x = h.

In cryptography, we are interested in groups for which the discrete logarithm problem (Dlog for short) is assumed to be hard. The most known groups of that kind are some Elliptic curve groups.

ElemType

is concrete type

Linear Supertypes
AnyRef, Any
Known Subclasses
BcDlogGroup, SecP256K1
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Abstract Value Members

  1. abstract def createRandomElement(): ElemType

    Creates a random member of this Dlog group

    Creates a random member of this Dlog group

    returns

    the random element

  2. abstract def endExponentiateWithPreComputedValues(base: ElemType): Unit

    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.

  3. abstract def exponentiate(base: ElemType, exponent: BigInteger): ElemType

    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

    Exceptions thrown
  4. abstract def exponentiateWithPreComputedValues(base: ElemType, exponent: BigInteger): ElemType

    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

  5. abstract def generator: ElemType

    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

  6. abstract def identity: ElemType

    returns

    the identity element of this Dlog group

  7. abstract def inverseOf(groupElement: ElemType): ElemType

    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

    Exceptions thrown
  8. abstract def maxLengthOfByteArrayForEncoding: Int

    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.

  9. abstract def multiplyGroupElements(groupElement1: ElemType, groupElement2: ElemType): ElemType

    Multiplies two GroupElements

    Multiplies two GroupElements

    returns

    the multiplication result

    Exceptions thrown
  10. abstract def order: BigInteger

    returns

    the order of this Dlog group

  11. abstract def orderGreaterThan(numBits: Int): Boolean

    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.

  12. abstract def simultaneousMultipleExponentiations(groupElements: Array[ElemType], exponentiations: Array[BigInteger]): ElemType

    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

Concrete Value Members

  1. final def !=(arg0: Any): Boolean
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  2. final def ##(): Int
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  3. final def ==(arg0: Any): Boolean
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  5. def clone(): AnyRef
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    @throws( ... ) @native()
  6. def createRandomGenerator(): ElemType

    Creates a random generator of this Dlog group

    Creates a random generator of this Dlog group

    returns

    the random generator

  7. final def eq(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  8. def equals(arg0: Any): Boolean
    Definition Classes
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  9. def finalize(): Unit
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  13. final def ne(arg0: AnyRef): Boolean
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  14. final def notify(): Unit
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    @native()
  15. final def notifyAll(): Unit
    Definition Classes
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    @native()
  16. val secureRandom: SecureRandom
  17. final def synchronized[T0](arg0: ⇒ T0): T0
    Definition Classes
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  18. def toString(): String
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  19. final def wait(): Unit
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  20. final def wait(arg0: Long, arg1: Int): Unit
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  21. final def wait(arg0: Long): Unit
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