BlueECC uses the Elliptic Curve Integrated Encryption Scheme (ECIES) and Elliptic Curve Digital Signature Algorithm (ECDSA) for its cryptography. Fortunately, you do not need to know the mathematics behind the algorithms to use them. They work just like RSA with a public key for encryption/verifying and a private key for decryption/signing.
Source: BlueECC: Encrypt, Decrypt, Sign and Verify with Elliptic Curve