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One of the objectives was then measured by minimizing the number of code smells in the current version of the software and estimated code smells in future versions of the software.
We assume that the estimated code length and extension field degree are l and m, the number of minimal polynomials over GF(2 m ) is q and m1 x), m2 x), …, m q (x) are the minimal polynomials over GF(2 m ).
Then, we traverse all the possible values of code length l and codeword starting position t and choose the parameter pair (l, t) which maximizes the IDEF defined in Equation 21 to be the estimated code length and block synchronization position.
However, as the main metrics for performance analysis, we use (i) the probability of missing the correlation peak and (ii) root-mean-square (RMS) delay estimation error E Č p - C p 2. Here E, Č p, and C p denote the expectation, the estimated code phase, and the actual code phase, respectively.
Once the code length is estimated, by comparing p i at different roots, we can consider the obviously higher ones as the estimation of the code roots and the generator polynomial could be obtained by g x = x − α i 1 x − α i 2 ⋯ x − α i r, where α i 1, α i 2, ⋯, α i r are the estimated code roots, i.e. the roots of the generator polynomial.
The high chi-square values for some of the estimated code parameters also raises a question concerning the fit of the model for about a third of the stroke codes.
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As shown in Figure 4, the distributions of mean (p′ j,λ) for random data and coded data with correctly estimated coding parameters are separated.
The decoder exploits the structure introduced to the encoded symbol sequence by the encoder, to reconstruct the source information from the estimated coded symbols, correcting errors while doing so.
The total length of the estimated coding region was 43.88 Mbp, representing 69.0% of the total sequence length for CjCon1.
This estimated coding sequence length for cotton is a little less than the average coding sequence length of some angiosperms with sequenced genomes.
Similarly, the genome of the green alga Volvox carteri F. Stein, with 138 Mbp, has an estimated coding potential for 14 500 proteins (Prochnik et al. 2010).
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com