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Article summary:

1. The problem of constructing polar codes is equivalent to selecting good channels among a set of bit-channels with output alphabet size that grows exponentially.

2. Tal and Vardy proposed a channel quantization algorithm to approximate the original channel by channels with less output symbols.

3. A matrix form of channel transformation was derived, which automatically merges suitable output symbols, thus reducing the step of preprocessing complexity in Tal and Vardy’s algorithm.

Article analysis:

The article is generally reliable and trustworthy as it provides an overview of the research conducted by Tal and Vardy on the problem of constructing polar codes. The article is well-written and provides clear explanations for the concepts discussed, making it easy to understand for readers who are not familiar with the topic. Furthermore, the article does not contain any promotional content or partiality towards any particular point of view, making it unbiased in its reporting. Additionally, all claims made in the article are supported by evidence from Arıkan’s original work, further increasing its credibility. However, there are some points that could be explored further such as potential risks associated with using this method or possible counterarguments that could be presented in order to provide a more comprehensive overview of the topic.