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

Analyze and compute properties of an algebraic code--family, size, notation, dimension, distance, error correction and detection, polynomial, optimality, information rate. 

Algebraic Codes

Algebraic Codes

Analyze algebraic codes of specific types indexed by integer parameters:

Compute a property of a code:

Find codes with a given level of error correction:

Find codes with a given level of error detection:

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