We improve on the Boneh-Shaw Fingerprinting scheme in two ways: (i) We merge a Direct Sequence Spread Spectrum (DSSS) em- bedding layer with the first Boneh-Shaw layer (the so called “Γ code”), effectively increasing the protected object size by about four orders of magnitude. As a result we have more than one order of magnitude impro- vement on the size of collusions that we can overcome. (ii) We replace the “marking assumption” with a more realistic assumption, allowing random jamming on the so called “unseen” bits.