You cannot mine directly to a bytecoin core node, so I have set up a public solo mining pool for easier mining.
There is currently three running, each with different starting diffs:
Diff 1: stratum+tcp://bytecoin.pool.chainspy.com:3001
Diff 1000: stratum+tcp://bytecoin.pool.chainspy.com:3004
Diff 10000: stratum+tcp://bytecoin.pool.chainspy.com:3005
Set your username to your bytecoin address with any or even no worker extension, and any password.
eg:
cgminer -o stratum+tcp://bytecoin.pool.chainspy.com:3004 -u bytec1q9ny3xycmfrfev2xquun64sunvvh2zlx2gn63xz.0 -p x
If you enter an invalid address you will be rejected.
2% fee for using the pool which is sent to bytec1q9ny3xycmfrfev2xquun64sunvvh2zlx2gn63xz
Remember this is a solo mining, so you only get a reward if you're the one to find a valid block.