## 3 Performance Metrics  
To analyze the effectiveness of RS Codes against single-frequency EMD, the proposed condition assessment definitions by [PERSON] et al. are employed within this paper [21]. Based upon this category system, categories are generated from the following three fundamental questions:  
1. _Is the output data word correct?_ Possible Answers: Positive or Negative To answer this question, comparing the input data word and the output data word of the decoder is required. In this regard, this paper uses a common ground truth for the input and the output data. Correspondingly, if they match, then the answer is \"Positive\". Otherwise, the answer is \"Negative\". In this paper, when the output is unknown or, in other words, when there is no output, it is also considered as a \"Negative\". 2. _Is the detector outcome correct after considering the output of the previous question?_ Possible Answers: True or False As indicated, the answer of this question is directly connected to the previous question and the assumption made by [21]. In this assumption, when the output of the question 1 is positive, then there should be no detection (i.e., no warning), and when the output is negative, then a detection should occur (i.e., system receives a warning). In the case of RS Codes, the detection process happens when it calculates the syndrome. If the output of question 1 is positive, then it means that there were no errors during the transmission, and there must be no detection (i.e., zero syndrome) in such a case. Likewise, if the output of question 1 is negative, it indicates that there was at least an error during the transmission, and the detector must send a warning (i.e., non-zero syndrome). In both cases, the answer of this question is \"True\", and any other scenarios state an incorrect detection or a \"False\" detection. 3. _Is the data in control or the channel in control?_ Possible Answers: Data or Channel To tackle this question, determining the impacts of the disturbances on the outputs of the decoder is required. In this regard, when a disturbance can corrupt at least two valid code words during the transmission in such a way that the output of the decoder for these code words remains the same, then the \"Channel\" is in control. Otherwise, the \"Data\" is in control, and it determines the output of the decoder. In accordance to the different outputs of the aforesaid questions, eight distinct categories are considered which are presented in Table 1. These are labeled with distinct colors (or different shades of a color) throughout the remainder of this paper. * Data True Positive (DTP): The data are in control and determine the output, the received output is correct, and the detector outcome is also correct. This is the best scenario. In such a case, the syndrome is zero, which indicates that the code word has not been affected by the disturbance. Accordingly, it shows that the channel is in a good health, and there is no immediate indication that the subsequent transmitted data would be wrong. This is the normal behavior and is labeled in green. * Data True Negative (DTN): The data are in control and determine the output, and the received output is incorrect, even though the detector outcome is correct. In this case, the syndrome is nonzero, which indicates that the code word has been affected by the disturbance, and the RS Codes' detector was able to detect the errors. Three possible scenarios could result in this category. First, when the number of the detected errors is in the RS Codes' correcting capability, RS Codes miscorrect the corrupted data. In general, in case of a detection, the RS Codes choose a valid code word with the minimum symbol distance (i.e., number of symbol-wise differences between two code words) to the corrupted code word. In some cases, due to the high level of data corruption, the code word turns into another code word that has a minimum symbol distance to a valid code word but not the expected one, and RS Codes mistakenly choose that as the output.