Asymptotic assessments of CRC error probabilities in some telecommunication protocols
- Authors: Baranov A.P.1, Baranov P.A.1
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Affiliations:
- National Research University Higher School of Economics
- Issue: Vol 50, No 8 (2016)
- Pages: 759-764
- Section: Article
- URL: https://journals.rcsi.science/0146-4116/article/view/174733
- DOI: https://doi.org/10.3103/S0146411616080046
- ID: 174733
Cite item
Abstract
We study the value distributions for the control cyclic redundancy check (CRC) of length k, drawn at the data section of volume n. The behavior of CRC value distribution is examined at large n and fixed values of k (k = const, n → ∞). With the application of the character theory, we find the conditions of asymptomatic uniformity of the CRC distribution. The asymptomatic results can be applied during the assessment of errors of a series of protocols such as USB, X.25, HDLC, Bluetooth, Ethernet, etc.
About the authors
A. P. Baranov
National Research University Higher School of Economics
Author for correspondence.
Email: baranov.ap@yandex.ru
Russian Federation, Moscow
P. A. Baranov
National Research University Higher School of Economics
Email: baranov.ap@yandex.ru
Russian Federation, Moscow