PAIR
PAIR
Kind: global class
this: {"{"}PAIR{"}"}
new PAIR()
Creates an instance of PAIR
PAIR.line()
Line function
Kind: static method of PAIR
this: {"{"}PAIR{"}"}
PAIR.initmp()
prepare for multi-pairing
Kind: static method of PAIR
this: {"{"}PAIR{"}"}
PAIR.miller(r, res)
basic Miller loop
Kind: static method of PAIR
this: {"{"}PAIR{"}"}
| Param | Description |
|---|---|
| r | FP12 precomputed array of accumulated line functions |
| res | FP12 result |
PAIR.another(r, P1, Q1)
Precompute line functions for n-pairing
Kind: static method of PAIR
this: {"{"}PAIR{"}"}
| Param | Description |
|---|---|
| r | array of precomputed FP48 products of line functions |
| P1 | An element of G2 |
| Q1 | An element of G1 |
PAIR.ate(P1, Q1)
Calculate Miller loop for Optimal ATE pairing e(P,Q)
Kind: static method of PAIR
this: {"{"}PAIR{"}"}
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 |
PAIR.ate2(P1, Q1, R1, S1)
Calculate Miller loop for Optimal ATE double-pairing e(P,Q).e(R,S)
Kind: static method of PAIR
this: {"{"}PAIR{"}"}
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 |
PAIR.fexp(m)
Final exponentiation of pairing, converts output of Miller loop to element in GT
Kind: static method of PAIR
this: {"{"}PAIR{"}"}
Result: r m^((p^12-1)/r) where p is modulus and r is the group order
| Param | Description |
|---|---|
| m | FP12 value |
PAIR.lbits()
prepare ate parameter, n=6u+2 (BN) or n=u (BLS), n3=3*n
Kind: static method of PAIR
this: {"{"}PAIR{"}"}
PAIR.glv()
GLV method
Kind: static method of PAIR
this: {"{"}PAIR{"}"}
PAIR.gs()
Galbraith & Scott Method
Kind: static method of PAIR
this: {"{"}PAIR{"}"}
PAIR.G1mul(P, e) ⇒
Fast point multiplication of a member of the group G1 by a BIG number
Kind: static method of PAIR
Returns: R Member of G1 R=e.P
this: {"{"}PAIR{"}"}
| Param | Description |
|---|---|
| P | Member of G1 |
| e | BIG multiplier |
PAIR.G2mul(P, e) ⇒
Multiply P by e in group G2
Kind: static method of PAIR
Returns: R Member of G2 R=e.P
this: {"{"}PAIR{"}"}
| Param | Description |
|---|---|
| P | Member of G2 |
| e | BIG multiplier |
PAIR.GTpow(d, e) ⇒
Fast raising of a member of GT to a BIG power
Kind: static method of PAIR
Returns: r d^e
this: {"{"}PAIR{"}"}
| Param | Description |
|---|---|
| d | Member of GT |
| e | BIG exponent |