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Elliptic Curve Point compression/decompression for mbedTLS

This is all about two helper methods called mbedtls_ecp_decompress() and mbedtls_ecp_compress(). They perform X25519 / Curve25519 point compression and decompression. mbedTLS will likely never support decompression, as it is not mandated in the TLS specification.

EC crypto keys for TLS consist of concatenated x and y coordinates (hence a point), which makes them rather long to print out. But since the function is known, only x really needs to be transmitted. This can help to keep QR-Codes smaller, as less data needs to be transmitted.

Supported Curves

Only curves 3 mod 4 are supported:

  • secp521r1
  • brainpoolP512r1
  • secp384r1
  • brainpoolP384r1
  • secp256r1
  • secp256k1
  • brainpoolP256r1
  • secp192r1
  • secp192k1

See this post.

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