This is not a Zero Knowledge Protocol because the other party has the same information as you do.
Furthermore, this algorithm is equivalent to a DH key exchange between A and B followed by a HMAC(key,M), with the advantage that message size is not limited to the group size.
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[ 3.2 ms ] story [ 9.6 ms ] threadFurthermore, this algorithm is equivalent to a DH key exchange between A and B followed by a HMAC(key,M), with the advantage that message size is not limited to the group size.