Class

cc.redberry.rings.scaladsl

GaloisField64

Related Doc: package scaladsl

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final case class GaloisField64(theRing: FiniteField[UnivariatePolynomialZp64], variable: String) extends AUnivariateRingZp64 with Product with Serializable

Galois field with prime base in a range of (0, 2^63)

theRing

the rings.poly.FiniteField

variable

the variable of univariate polynomials representing this Galois field

Linear Supertypes
Product, Equals, AUnivariateRingZp64, IUnivariateRing[UnivariatePolynomialZp64, Long], IPolynomialRing[UnivariatePolynomialZp64, Long], Ring[UnivariatePolynomialZp64], Serializable, Serializable, RingSupport[UnivariatePolynomialZp64], ElementParser[UnivariatePolynomialZp64], ToStringSupport[UnivariatePolynomialZp64], AnyRef, Any
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Inherited
  1. GaloisField64
  2. Product
  3. Equals
  4. AUnivariateRingZp64
  5. IUnivariateRing
  6. IPolynomialRing
  7. Ring
  8. Serializable
  9. Serializable
  10. RingSupport
  11. ElementParser
  12. ToStringSupport
  13. AnyRef
  14. Any
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Visibility
  1. Public
  2. All

Instance Constructors

  1. new GaloisField64(theRing: FiniteField[UnivariatePolynomialZp64], variable: String)

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    theRing

    the rings.poly.FiniteField

    variable

    the variable of univariate polynomials representing this Galois field

Type Members

  1. final type CoefficientType = Long

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    Type of coefficients

    Type of coefficients

    Definition Classes
    IPolynomialRing
  2. final type ElementType = UnivariatePolynomialZp64

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    Element type

    Element type

    Definition Classes
    Ring
  3. final type PolyType = UnivariatePolynomialZp64

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    Type of polynomials

    Type of polynomials

    Definition Classes
    IPolynomialRing

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. def _show(obj: Any): String

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    To string

    To string

    Definition Classes
    IPolynomialRingRing
  5. final def addConstant(poly: UnivariatePolynomialZp64, el: Long): UnivariatePolynomialZp64

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    Add coefficient ring element

    Add coefficient ring element

    Definition Classes
    AUnivariateRingZp64 → IPolynomialRing
  6. final def apply(a: Long, b: Long, c: Long, d: Long, e: Long): (UnivariatePolynomialZp64, UnivariatePolynomialZp64, UnivariatePolynomialZp64, UnivariatePolynomialZp64, UnivariatePolynomialZp64)

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    Definition Classes
    IPolynomialRing
  7. final def apply(a: Long, b: Long, c: Long, d: Long): (UnivariatePolynomialZp64, UnivariatePolynomialZp64, UnivariatePolynomialZp64, UnivariatePolynomialZp64)

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    Definition Classes
    IPolynomialRing
  8. final def apply(a: Long, b: Long, c: Long): (UnivariatePolynomialZp64, UnivariatePolynomialZp64, UnivariatePolynomialZp64)

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    Definition Classes
    IPolynomialRing
  9. final def apply(a: Long, b: Long): (UnivariatePolynomialZp64, UnivariatePolynomialZp64)

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    Definition Classes
    IPolynomialRing
  10. final def apply(value: Long): UnivariatePolynomialZp64

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    Definition Classes
    IPolynomialRing
  11. final def apply(a: String, b: String, c: String, d: String, e: String): (UnivariatePolynomialZp64, UnivariatePolynomialZp64, UnivariatePolynomialZp64, UnivariatePolynomialZp64, UnivariatePolynomialZp64)

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    Definition Classes
    Ring
  12. final def apply(a: String, b: String, c: String, d: String): (UnivariatePolynomialZp64, UnivariatePolynomialZp64, UnivariatePolynomialZp64, UnivariatePolynomialZp64)

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    Definition Classes
    Ring
  13. final def apply(a: String, b: String, c: String): (UnivariatePolynomialZp64, UnivariatePolynomialZp64, UnivariatePolynomialZp64)

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    Definition Classes
    Ring
  14. final def apply(a: String, b: String): (UnivariatePolynomialZp64, UnivariatePolynomialZp64)

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    Definition Classes
    Ring
  15. final def apply(e: ElementType): UnivariatePolynomialZp64

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    Definition Classes
    Ring
  16. final def apply(int: IntZ): UnivariatePolynomialZp64

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    Definition Classes
    Ring
  17. final def apply(int: BigInt): UnivariatePolynomialZp64

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    Definition Classes
    Ring
  18. final def apply(int: Int): UnivariatePolynomialZp64

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    Definition Classes
    Ring
  19. final def apply(string: String): UnivariatePolynomialZp64

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    Parse

    Parse

    Definition Classes
    Ring
  20. final def asInstanceOf[T0]: T0

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    Definition Classes
    Any
  21. def at(poly: UnivariatePolynomialZp64, index: Int): Long

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    i-th coefficient

    i-th coefficient

    Definition Classes
    IUnivariateRing
  22. final def cc(poly: UnivariatePolynomialZp64): Long

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    Constant coefficient

    Constant coefficient

    Definition Classes
    AUnivariateRingZp64 → IPolynomialRing
  23. val cfRing: Ring[Long]

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    The coefficient ring

    The coefficient ring

    Definition Classes
    GaloisField64IPolynomialRing
  24. final def cfValue(i: Int): Long

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    Value of integer in coefficient ring

    Value of integer in coefficient ring

    Definition Classes
    AUnivariateRingZp64 → IPolynomialRing
  25. def clone(): AnyRef

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    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  26. final def create(coefficients: Long*): UnivariatePolynomialZp64

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    Create univariate polynomial from the array of coefficients

    Create univariate polynomial from the array of coefficients

    Definition Classes
    AUnivariateRingZp64 → IUnivariateRing
  27. final def divRem(a: UnivariatePolynomialZp64, b: UnivariatePolynomialZp64): (UnivariatePolynomialZp64, UnivariatePolynomialZp64)

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    Shortcut for /% operation

    Shortcut for /% operation

    Attributes
    protected[cc.redberry.rings.scaladsl]
    Definition Classes
    IPolynomialRing
  28. final def divideAndRemainder(poly: UnivariatePolynomialZp64, el: Long): (UnivariatePolynomialZp64, UnivariatePolynomialZp64)

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    Divide by coefficient ring element

    Divide by coefficient ring element

    Definition Classes
    AUnivariateRingZp64 → IPolynomialRing
  29. final def divideConstant(poly: UnivariatePolynomialZp64, el: Long): UnivariatePolynomialZp64

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    Divide by coefficient ring element

    Divide by coefficient ring element

    Definition Classes
    AUnivariateRingZp64 → IPolynomialRing
  30. final def element(e: Any): UnivariatePolynomialZp64

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    Casts e to element of this

    Casts e to element of this

    Definition Classes
    Ring
  31. final def eq(arg0: AnyRef): Boolean

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    Definition Classes
    AnyRef
  32. final def eval(poly: UnivariatePolynomialZp64, point: Long): Long

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    Evaluate poly at a given point

    Evaluate poly at a given point

    Definition Classes
    AUnivariateRingZp64 → IUnivariateRing
  33. def finalize(): Unit

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    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( classOf[java.lang.Throwable] )
  34. final def getClass(): Class[_]

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    Definition Classes
    AnyRef → Any
  35. final def getConstant(value: Long): UnivariatePolynomialZp64

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    Constant polynomial with specified value

    Constant polynomial with specified value

    Definition Classes
    AUnivariateRingZp64 → IPolynomialRing
  36. final def index(variable: String): Int

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    Index of variable with specified string representation

    Index of variable with specified string representation

    Definition Classes
    IPolynomialRing
  37. def isElement(e: Any): Boolean

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    Reflection: determines whether is element of this

    Reflection: determines whether is element of this

    Definition Classes
    IPolynomialRingRing
  38. final def isInstanceOf[T0]: Boolean

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    Definition Classes
    Any
  39. final def lc(poly: UnivariatePolynomialZp64): Long

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    Leading coefficient

    Leading coefficient

    Definition Classes
    AUnivariateRingZp64 → IPolynomialRing
  40. final def multiplyConstant(poly: UnivariatePolynomialZp64, el: Long): UnivariatePolynomialZp64

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    Multiply by coefficient ring element

    Multiply by coefficient ring element

    Definition Classes
    AUnivariateRingZp64 → IPolynomialRing
  41. final def ne(arg0: AnyRef): Boolean

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

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

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    Definition Classes
    AnyRef
  44. def parse(string: String): UnivariatePolynomialZp64

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    Parse polynomial

    Parse polynomial

    Definition Classes
    IPolynomialRingRing → ElementParser
  45. def ringEv(ev: UnivariatePolynomialZp64): Ring[UnivariatePolynomialZp64]

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    Definition Classes
    RingRingSupport
  46. def setVariableNames(newVariables: Array[String]): GaloisField64

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    Set names of variables (new ring will be created)

    Set names of variables (new ring will be created)

    Definition Classes
    GaloisField64IUnivariateRingIPolynomialRing
  47. final def show(list: Traversable[_]): String

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    String representation of a seq of polynomials

    String representation of a seq of polynomials

    Definition Classes
    IPolynomialRing
  48. def show(obj: WithVariables): String

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    String representation of polynomial from this ring

    String representation of polynomial from this ring

    Attributes
    protected[cc.redberry.rings.scaladsl]
    Definition Classes
    IPolynomialRing
  49. final def show(arg: Any): String

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    Pretty toString

    Pretty toString

    Definition Classes
    Ring
  50. final def subtractConstant(poly: UnivariatePolynomialZp64, el: Long): UnivariatePolynomialZp64

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    Subtract coefficient ring element

    Subtract coefficient ring element

    Definition Classes
    AUnivariateRingZp64 → IPolynomialRing
  51. final def synchronized[T0](arg0: ⇒ T0): T0

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    Definition Classes
    AnyRef
  52. val theRing: FiniteField[UnivariatePolynomialZp64]

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    the rings.poly.FiniteField

    the rings.poly.FiniteField

    Definition Classes
    GaloisField64 → AUnivariateRingZp64 → IUnivariateRingIPolynomialRingRing
  53. def toString(): String

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    String representation of this ring

    String representation of this ring

    Definition Classes
    IPolynomialRingRing → AnyRef → Any
  54. final def toString(element: UnivariatePolynomialZp64): String

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    <invalid inheritdoc annotation>

    <invalid inheritdoc annotation>

    Definition Classes
    Ring → ToStringSupport
  55. final def variable(variable: String): Int

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    Index of variable with specified string representation

    Index of variable with specified string representation

    Definition Classes
    IPolynomialRing
  56. val variable: String

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    the variable of univariate polynomials representing this Galois field

    the variable of univariate polynomials representing this Galois field

    Definition Classes
    GaloisField64 → AUnivariateRingZp64 → IUnivariateRing
  57. val variables: Array[String]

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    polynomial variables

    polynomial variables

    Definition Classes
    IPolynomialRing
  58. final def wait(): Unit

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

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

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    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  61. final lazy val x: UnivariatePolynomialZp64

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    The first variable

    The first variable

    Definition Classes
    IPolynomialRing
  62. final lazy val y: UnivariatePolynomialZp64

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    The second variable

    The second variable

    Definition Classes
    IPolynomialRing
  63. final lazy val z: UnivariatePolynomialZp64

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    The third variable

    The third variable

    Definition Classes
    IPolynomialRing

Inherited from Product

Inherited from Equals

Inherited from AUnivariateRingZp64

Inherited from Ring[UnivariatePolynomialZp64]

Inherited from Serializable

Inherited from Serializable

Inherited from ElementParser[UnivariatePolynomialZp64]

Inherited from ToStringSupport[UnivariatePolynomialZp64]

Inherited from AnyRef

Inherited from Any

Ungrouped