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Most cryptocurrency systems or systems based on blockchain technology arecurrently using the elliptic curves digital signature algorithm (ECDSA) on thesecp256k1 curve, which is susceptible to backdoors implemented by the curvecreator (secp256k1). The paper proposes a multiple elliptic curves digi-talsignature algorithm (MECDSA), which allows not only for setting the number ofelliptic curves according to practical security requirements, but also forediting the parameters of each elliptic curve. The performance analy-sis provesthat the scheme is secure and efficient, and can avoid any back-doorsimplemented by curve creators. We suggest that the systems based on blockchainshould operate in two elliptic curves considering the contradic-tion betweensecurity and efficiency.

A Secure Multiple Elliptic Curves Digital Signature Algorithm for Blockchain