ECDSA is the acronym for Elliptic-Curve-Digital-Signature-Algorithm
Elliptic Curve Digital Signature Algorithm is a variant to traditional DSA’s (digital signature algorithms) that uses elliptic curve cryptography. The ideology of it is based in the advanced mathematics properties of plotting random points along a curve (elliptically) rather then plotting them along a straight line (Algebraically). The EC (Curvature) is used to deduce private-public key pairs while the DSA (signature) is used to authenticate.