In the comics, Doomsday is a supervillian who was created on Krypton in ancient times, a long time before it was destroyed.
From the Wiki article;
In a cruel experiment involving evolution, intended to create the perfect living being, the alien scientist Bertron released a humanoid infant (born in vitro in a lab) onto the surface of the planet, where he was promptly killed by the harsh environment. The baby's remains were collected and used to clone a stronger version. This process was repeated over and over for decades as a form of accelerated natural evolution. The agony of these repeated deaths was recorded in his genes, driving the creature to hate all life.
However, this was not the origin of the creature in Batman V Superman: Dawn of Justice.
In the film, Doomsday is created by Lex Luthor combining the corpse of General Zod from Man of Steel with his own human genetic material, via a Kryptonian machine on one of Zod's spacecraft. Luthor indirectly names the creature when he tells Superman that it is "your doomsday" while setting it loose in Metropolis.
This explains the presence of heat vision, which Doomsday does not have in the comics as far as I am aware.