It could be a light leak from a pinhole in the camera body that is being painted-on as you wind the film to the next frame. Do you see any "blobs" of exposure regularly spaced along the streaks?
If not, it suggests either a manufacturing defect OR a pinhole in the camera back that is exposed to direct ambient light when you rewind the film (assuming 35mm cartridges) back to the cassette.
What film are you using? What Gauge? Did you rewind in bright outdoor light? Did you turn the back of the camera up toward the sky as you rewound?
You could try cutting a strip of photographic paper to fit the film path of your camera (marking what is up, left, right and down on the back of the paper), load that in total darkness, tie a string to the neck strap lugs, put the camera in direct sunlight and give it a gentle spin to rotate it around for a few minutes.
Back in the darkroom, process the paper as normal and see if you can find a leak.