Curve448
class Curve448 extends Montgomery (View source)
Properties
| protected object[] | $doubles | Doubles | from Base |
| protected BigInteger | $order | The Order | from Montgomery |
| protected PrimeField | $factory | Prime Field Integer factory | from Montgomery |
| protected object | $a | Cofficient for x | from Montgomery |
| protected object | $a24 | Constant used for point doubling | from Montgomery |
| protected object | $zero | The Number Zero | from Montgomery |
| protected object | $one | The Number One | from Montgomery |
| protected object | $p | Base Point | from Montgomery |
| protected BigInteger | $modulo | The modulo | from Montgomery |
Methods
Set x and y coordinates for the base point
No description
Details
in
Base at line 63
object
randomInteger()
Returns a random integer
in
Base at line 73
object
convertInteger(BigInteger $x)
Converts a BigInteger to a FiniteField integer
in
Base at line 83
int
getLengthInBytes()
Returns the length, in bytes, of the modulo
in
Base at line 93
int
getLength()
Returns the length, in bits, of the modulo
array
multiplyPoint(array $p, Integer $d)
Multiply a point on the curve by a scalar
Modifies the scalar as described at https://tools.ietf.org/html/rfc7748#page-8
in
Base at line 130
FiniteField
createRandomMultiplier()
Creates a random scalar multiplier
in
Base at line 144
setOrder(BigInteger $order)
Sets the Order
in
Base at line 154
BigInteger
getOrder()
Returns the Order
in
Base at line 164
object
setReduction(callable $func)
Use a custom defined modular reduction function
object[]
convertToAffine(array $p)
Returns the affine point
object[]
convertToInternal(array $p)
Converts an affine point to an XZ coordinate
From https://hyperelliptic.org/EFD/g1p/auto-montgom-xz.html
XZ coordinates represent x y as X Z satsfying the following equations:
x=X/Z
in
Base at line 194
object[]
negatePoint(array $p)
Negates a point
in
Base at line 211
int[]
multiplyAddPoints(array $points, array $scalars)
Multiply and Add Points
setModulo(BigInteger $modulo)
Sets the modulo
setCoefficients(BigInteger $a)
Set coefficients a
PrimeInteger[]
setBasePoint(BigInteger|PrimeInteger $x, BigInteger|PrimeInteger $y)
Set x and y coordinates for the base point
array
getBasePoint()
Retrieve the base point as an array