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Capacity-approaching codes are a class of error-correcting codes that are designed to achieve performance close to the theoretical limits of capacity defined by Shannon's channel capacity theorem. Shannon's theorem states that there is a maximum rate of information that can be transmitted over a communication channel without error, given a particular signal-to-noise ratio. The challenge in practical communication systems is to approach this limit in a way that allows for reliable communication despite the presence of noise and other impairments.

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  1. Error detection and correction
  2. Algorithms
  3. Applied mathematics
  4. Fields of mathematics
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