2017-11-01 22:52:36 -07:00
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Jubjub supporting evidence
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--------------------------
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This repository contains supporting evidence that the twisted Edwards curve
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2017-11-01 23:16:58 -07:00
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-x^2 + y^2 = 1 - (10240/10241).x^2.y^2 of rational points over
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2017-11-01 22:52:36 -07:00
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GF(52435875175126190479447740508185965837690552500527637822603658699938581184513),
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[also called "Jubjub"](https://z.cash/technology/jubjub.html),
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satisfies the [SafeCurves criteria](https://safecurves.cr.yp.to/index.html).
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The script ``verify.sage`` is based on
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[this script from the SafeCurves site](https://safecurves.cr.yp.to/verify.html),
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modified
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* to support twisted Edwards curves;
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* to generate a file 'primes' containing the primes needed for primality proofs,
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if it is not already present;
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* to change the directory in which Pocklington proof files are generated
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(``proof/`` rather than ``../../../proof``), and to create that directory
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if it does not exist.
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Prerequisites:
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* apt-get install sagemath
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* pip install sortedcontainers
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Run ``sage verify.sage .``, or ``./run.sh`` to also print out the results.
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Note that the "rigidity" criterion cannot be checked automatically.
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