PAIR256

Kind: global class
this: {PAIR256}

• PAIR256
  • new PAIR256()
  • .line()
  • .initmp()
  • .miller(r, res)
  • .another(r, P1, Q1)
  • .ate(P1, Q1)
  • .ate2(P1, Q1, R1, S1)
  • .fexp(m)
  • .lbits()
  • .glv()
  • .gs()
  • .G1mul(P, e) ⇒
  • .G2mul(P, e) ⇒
  • .GTpow(d, e) ⇒

new PAIR256()

Creates an instance of PAIR256

PAIR256.line()

Line function

Kind: static method of PAIR256
this: {PAIR256}

PAIR256.initmp()

prepare for multi-pairing

Kind: static method of PAIR256
this: {PAIR256}

PAIR256.miller(r, res)

basic Miller loop

Kind: static method of PAIR256
this: {PAIR256}

Param	Description
r	FP48 precomputed array of accumulated line functions
res	FP48 result

PAIR256.another(r, P1, Q1)

Precompute line functions for n-pairing

Kind: static method of PAIR256
this: {PAIR256}

Param	Description
r	array of precomputed FP48 products of line functions
P1	An element of G2
Q1	An element of G1

PAIR256.ate(P1, Q1)

Calculate Miller loop for Optimal ATE pairing e(P,Q)

Kind: static method of PAIR256
this: {PAIR256}
Result: r An element of GT i.e. result of the pairing calculation e(P,Q)

Param	Description
P1	An element of G2
Q1	An element of G1

PAIR256.ate2(P1, Q1, R1, S1)

Calculate Miller loop for Optimal ATE double-pairing e(P,Q).e(R,S)

Kind: static method of PAIR256
this: {PAIR256}
Result: r An element of GT i.e. result of the double pairing calculation e(P,Q).e(R,S)

Param	Description
P1	An element of G2
Q1	An element of G1
R1	An element of G2
S1	An element of G1

PAIR256.fexp(m)

Final exponentiation of pairing, converts output of Miller loop to element in GT

Kind: static method of PAIR256
this: {PAIR256}
Result: r m^((p^12-1)/r) where p is modulus and r is the group order

Param	Description
m	FP48 value

PAIR256.lbits()

prepare ate parameter, n=6u+2 (BN) or n=u (BLS), n3=3*n

Kind: static method of PAIR256
this: {PAIR256}

PAIR256.glv()

GLV method

Kind: static method of PAIR256
this: {PAIR256}

PAIR256.gs()

Galbraith & Scott Method

Kind: static method of PAIR256
this: {PAIR256}

PAIR256.G1mul(P, e) ⇒

Fast point multiplication of a member of the group G1 by a BIG number

Kind: static method of PAIR256
Returns: R Member of G1 R=e.P
this: {PAIR256}

Param	Description
P	Member of G1
e	BIG multiplier

PAIR256.G2mul(P, e) ⇒

Multiply P by e in group G2

Kind: static method of PAIR256
Returns: R Member of G2 R=e.P
this: {PAIR256}

Param	Description
P	Member of G2
e	BIG multiplier

PAIR256.GTpow(d, e) ⇒

Fast raising of a member of GT to a BIG power

Kind: static method of PAIR256
Returns: r d^e
this: {PAIR256}

Param	Description
d	Member of GT
e	BIG exponent