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id: pair192 title: PAIR192 sidebar_label: PAIR192

PAIR192

Kind: global class
this: {PAIR192}

• PAIR192
  • new PAIR192()
  • .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 PAIR192()

Creates an instance of PAIR192

PAIR192.line()

Line function

Kind: static method of PAIR192
this: {PAIR192}

PAIR192.initmp()

prepare for multi-pairing

Kind: static method of PAIR192
this: {PAIR192}

PAIR192.miller(r, res)

basic Miller loop

Kind: static method of PAIR192
this: {PAIR192}

Param	Description
r	FP24 precomputed array of accumulated line functions
res	FP24 result

PAIR192.another(r, P1, Q1)

Precompute line functions for n-pairing

Kind: static method of PAIR192
this: {PAIR192}

Param	Description
r	array of precomputed FP24 products of line functions
P1	An element of G2
Q1	An element of G1

PAIR192.ate(P1, Q1)

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

Kind: static method of PAIR192
this: {PAIR192}
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

PAIR192.ate2(P1, Q1, R1, S1)

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

Kind: static method of PAIR192
this: {PAIR192}
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

PAIR192.fexp(m)

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

Kind: static method of PAIR192
this: {PAIR192}
Result: r m^((p^12-1)/r) where p is modulus and r is the group order

Param	Description
m	FP24 value

PAIR192.lbits()

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

Kind: static method of PAIR192
this: {PAIR192}

PAIR192.glv()

GLV method

Kind: static method of PAIR192
this: {PAIR192}

PAIR192.gs()

Galbraith & Scott Method

Kind: static method of PAIR192
this: {PAIR192}

PAIR192.G1mul(P, e) ⇒

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

Kind: static method of PAIR192
Returns: R Member of G1 R=e.P
this: {PAIR192}

Param	Description
P	Member of G1
e	BIG multiplier

PAIR192.G2mul(P, e) ⇒

Multiply P by e in group G2

Kind: static method of PAIR192
Returns: R Member of G2 R=e.P
this: {PAIR192}

Param	Description
P	Member of G2
e	BIG multiplier

PAIR192.GTpow(d, e) ⇒

Fast raising of a member of GT to a BIG power

Kind: static method of PAIR192
Returns: r d^e
this: {PAIR192}

Param	Description
d	Member of GT
e	BIG exponent