Electronic voting is increasingly popular because of its convenience. However, the security problems exposed in electronic voting have become the focus of attention. How to ensure anonymity and verifiability in electronic voting has become a concern. Aiming at various problems in existing electronic voting, a multi-candidate electronic voting scheme is proposed based on digital signature algorithm and full homomorphic encryption. This scheme uses elliptic curve digital signature algorithm to solve the problem of identity authentication in electronic voting. The homomorphic encryption technology is used to realize the encryption of votes and homomorphism calculation of encrypted votes. To be able to batch votes, SIMD technology is used to packing votes. A homomorphic addition ticket counter was designed for the codec problem of encrypted votes counting. Finally, the security of the scheme is analyzed based on the eight security features of electronic voting, which shows that the scheme is safe and feasible.