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We propose a new approach to construct noise-resistant multimedia fingerprinting codes. Our approach is based on the theory of the signature codes for multiple access channels, mainly, for a weighted noisy adder channel. The corresponding multimedia fingerprinting codes allow to trace the entire coalition of pirates. The codes provide significantly better rate than previously known multimedia fingerprinting schemes. We establish the relationship between multimedia fingerprinting and compressed sensing problems.doi:10.1007/s10623-018-0580-4 fatcat:36o4ehxebvcthpdsmbmaobcgxy