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О распределении значения CRC в модели бинарного шума
The article considers cyclic redundant code CRC-value for a fixed-length packet of data. Due to various reasons the data transferred via digital connection channels could be modified. The author proposes to simulate these modifications in form of random additive noises. In the article it is shown that random noise processes cause changes in CRC-value described as special vector sums of noise values. Particularly, with white noise, CRC-value's change is a sum of random independent differently-distributed vectors over binary field GF(2). The writing formulates the research task of multi-dimension, differently-distributed random values over finite fields of special form with various dependencies of their components. It appears to be that not only limit theorems with large amount of components simulated by big length of data packet are interesting, but exact distributions with small packet lengths are also of certain interest.