Probability of undetected error with redundant data transmission on a binary symmetric channel without memory
Josef Börcsök, J. Hölzel, H. D. Wacker · 2006
This paper investigates redundant data transmission on binary symmetric channels without memory protected by a linear code and the probability of undetected error. A simple formula suitable for numerical calculations is proved, improving a commonly used formula. A second formula for data transmission without cross check is given. The formula is applied to some frequently used CRC-16 polynomials with well known minimum distance to calculate block lengths maximal in order to achieve a specific Safety Integrity Level (SIL).