Add compress, decompress_unchecked, and is_in_prime_subgroup methods #9
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In this PR, the following was done:
EdwardPoint::compress
method that packs X coordinate and the sign of Y in 32 bytes.EdwardPoint::decompress_unchecked
method that restores the point serialized with the previous method without checking that the point is in the prime subgroup.EdwardPoint::is_in_prime_subgroup
method that checks that the point is in the prime subgroup.The reason why it could be useful is described at https://github.com/zkBob/zkbob-pool-storage/issues/2.
Refs and implementation examples:
Note: fawkes-crypto uses optimized parameters of twisted edwards curve so the formulas in this PR and in the examples above are different. This transformation is explained in Theorem 4.1 of this proposal.