HarryR
/ bls12_381.sage
Created
September 26, 2019 20:13
Sage script to derive all necessary parameters for BLS12-381 curve (including frobenius coefficients and montgomery reduction constants etc.)
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| field_modulus = 4002409555221667393417789825735904156556882819939007885332058136124031650490837864442687629129015664037894272559787 | |
| desired_curve_order = 52435875175126190479447740508185965837690552500527637822603658699938581184513 | |
| Fp = GF(field_modulus) | |
| PARAM_A4 = 0 | |
| PARAM_A6 = 4 | |
| E = EllipticCurve(Fp, [PARAM_A4, PARAM_A6]) | |
| E_order = E.order() |
HarryR
/ zexe_sw6.sage
Created
September 30, 2019 04:58
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| """ | |
| https://cryptosith.org/michael/data/talks/2013-08-01-SIAMAG13.pdf | |
| https://www.issac-conference.org/2015/Slides/Schost.pdf | |
| http://www.craigcostello.com.au/pairings/PairingsForBeginners.pdf | |
| """ | |
| fresh_compute = False # Perform expensive-(ish) computations for curve orders | |
| field_modulus = 22369874298875696930346742206501054934775599465297184582183496627646774052458024540232479018147881220178054575403841904557897715222633333372134756426301062487682326574958588001132586331462553235407484089304633076250782629492557320825577 | |
| desired_curve_order = 258664426012969094010652733694893533536393512754914660539884262666720468348340822774968888139573360124440321458177 |