Board Thread:Theories Discussion/@comment-173.53.27.146-20160608134237/@comment-6986530-20160608154552

Nyoze Octo is indeed Lukana's descendant (a very long time down the line.)

Lukana did not get her hands on the sword, however. The Venom Sword has passed through multiple hands throughout the years. How it ended up in the Octo family by Nyoze and Gammon's time is currently unknown.