Examples for

Algebraic Codes

Algebraic coding theory is the branch of coding theory in which the codes used to represent and encode information are characterized by or satisfy algebraic relationships. These relationships give algebraic codes useful properties and allow them to be analyzed using the powerful machinery of abstract algebra. Use Wolfram|Alpha to explore algebraic codes and enumerate some of their properties.
Algebraic Codes

Get information about and properties of algebraic codes of specific types and find codes giving specific levels of error detection or correction.

Analyze algebraic codes of specific types indexed by integer parameters:

cyclic code 36, 2
Golay code 23

Compute a property of a code:

information rate of BCH code 31, 5

Find codes with a given level of error correction:

codes that can correct 7 errors

Find codes with a given level of error detection:

codes that can detect 10 errors
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