We have used the term "clone" to refer to those things which are produced by methods such as counterfeiting, alteration, duplication or simulation. To satisfy the requirements of secure and low-cost techniques for preventing card fraud, we have recently developed a clone preventive system called "FibeCrypt (Fiber Cryptosystem)" which utilizes physical characteristics. Each card has a canonical domain (i.e. a distinctive part), similar to fingerprints as the biometric measurement, made up of magnetic micro-fibers scattered randomly inside. We have applied cryptosystems to the system. FibeCrypt examines and authenticates the unique pattern of the canonical domain using pre-stored reference data and a digital signature. In our paper, the schemes and the features of this system are described in detail. The results of our examinations show the accuracy of authentication of the system. We conclude that this authentication technique which utilizes physical characteristics can be very effective for clone prevention in various fields.