MHB Coding Theory: What You Need to Know

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    Coding Theory
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Coding theory focuses on the design and analysis of error-correcting codes for data transmission and storage. It requires knowledge of discrete mathematics, linear algebra, and information theory. Coding theory is indeed related to applied algebra, which deals with the application of algebraic techniques to solve real-world problems. Understanding the principles of coding theory is essential for improving data integrity and communication efficiency. Mastery of these concepts is crucial for professionals in fields like computer science and telecommunications.
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Hello! (Wave)

What is Coding Theory about? What knowledge is required?
 
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Is it related to Applied Algebra? If so, what is the latter about?
 
The standard _A " operator" maps a Null Hypothesis Ho into a decision set { Do not reject:=1 and reject :=0}. In this sense ( HA)_A , makes no sense. Since H0, HA aren't exhaustive, can we find an alternative operator, _A' , so that ( H_A)_A' makes sense? Isn't Pearson Neyman related to this? Hope I'm making sense. Edit: I was motivated by a superficial similarity of the idea with double transposition of matrices M, with ## (M^{T})^{T}=M##, and just wanted to see if it made sense to talk...

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