Coding theory is the study of the properties of codes and their respective fitness for specific applications. Codes are used for data compression, cryptography, error detection and …

Exercise 2.15 Determine the minimum distance of the code from Example 2.14. Another immediate corollary of Theorem 2.12 is the following inequality known in coding theory as the …

Draft of the book (August 26, 2025) (No major changes since last version. Updated some bib section, corrected typos and added more exercises.) Warning: There are some …

Coding theory is concerned with successfully transmitting data through a noisy channel and correcting errors in corrupted messages. It is of central importance for many applications in …

3. Shannon's Theorem that has become one of the fun-damental theorems of coding theory. The theorem basically states that error free transmission of codes is possible within maximum rate …

Many areas of mathematics are used in coding theory, and we focus on the interplay between algebra and coding theory. The topics in this packet were chosen for their importance to …

Here we shall concentrate on the algebra of coding theory, but we keep in mind the fundamental bounds of information theory and the practical desires of engineering.

Nov 14, 2025 · Coding theory, sometimes called algebraic coding theory, deals with the design of error-correcting codes for the reliable transmission of information across noisy channels. It …

Aug 6, 2025 · Coding theory is a field in mathematics and computer science that studies how to represent information in a way that allows for the detection and correction of errors, which can …

Coding theory is a rather young area of mathematics having really been started only around 1948, but it has become an area of extensive research among both pure and applied mathe-maticians.