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They can correct up to u errors.
It is well known that an RS code can correct up to erased symbols, for example, [11].
In this paper, we investigate erasure-resilient codes (ERC) coming from Steiner 2-designs with block size k which can correct up to any k erasures.
As a Reed-Solomon code can correct up to erasures, with this scheme the loss of at most packets can be compensated for.
The BCH codes can correct up to t = ⌊(d − 1) / 2⌋ errors, all errors exceeding t may cause the decoder to decode erroneously.
Theorem 2 in [4] shows it can correct up to an error dimension ( leftlfloor frac{Dleft(Omega right -1}{4}right -1}{r ) where D is the minimum space distance about the space code Ω.
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When the BCH scheme is employed, we can obtain the probability of a successful transmission of a single packet of length which can reliably correct up to errors over one hop of distance as (15).
For all positive integers and, there exists a binary BCH code that has a code segment length of, of which at most are overhead bits that can reliably correct up to errors.
Consequently, a BCH code capable of correcting up to errors can be applied to detect and correct such few errors per block at a small loss in performance.
Results show that the proposed method can provide predictions which are correct up to a percentage of 78.9% while exhibiting performance comparable to other supervised neural network-based learning schemes.
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Justyna Jupowicz-Kozak
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