Re: Compute EC_KEY starting from X or Y coordinate only

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I checked the 'test' folder but I didn't found any tests that help me in this case.

However the only doubt is how I can use the API offered by openssl library.
I understand how retreive a point (and consequently to assign it to a public key) starting from a compressed-y representation (which belongs to this standard https://tools.ietf.org/id/draft-jivsov-ecc-compact-05.html).

My doubt now is how to obtain a point (x,y) given the coordinate, which means resolve the equation y^2= x^3 + ax + b.
Can you give me some tips to found a solution?

Luca

Billy Brumley <bbrumley@xxxxxxxxx> ha scritto:

If I have an x-point which follows this representation
https://tools.ietf.org/id/draft-jivsov-ecc-compact-05.html (so it is
composed by 33 byte and first byte is '0x02') and I use
'EC_POINT_set_compressed_coordinates_GFp' function, it will be
considered as compressed-y-0 or compressed-y-1? Or it is correctly
considered as the x coordinate?

What you are saying and what you are doing are two different things.

Your code is at a very low level.

Above this there is some encoding of points, depending on any number
of standards. OpenSSL implements some of them, but at a higher level.

The low level API you're talking about provides maximum flexibility to
map that high level encoding in to the API's "x-coord + y-bit"
concept. It's up to you to figure out the details. (Including
determining if the encoding in OpenSSL matches what's expected in your
spec.)

You need to play around a bit with the lib -- you can't expect this
list to interpret the standard for you. Check the "test" folder for
sample code.

BBB






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