linear code (original) (raw)
Though not sufficient for unique classification, a linear code’s block length, dimension, and minimum distance are three crucial parameters in determining the strength of the code. For referencing, a linear code with block length n, dimension k, and minimum distance d is referred to as an (n,k,d)-code.
Some examples of linear codes are Hamming Codes, BCH codes, Goppa codes, Reed-Solomon codes, and the Golay code (http://planetmath.org/BinaryGolayCode).
Title | linear code |
---|---|
Canonical name | LinearCode |
Date of creation | 2013-03-22 14:21:24 |
Last modified on | 2013-03-22 14:21:24 |
Owner | mathcam (2727) |
Last modified by | mathcam (2727) |
Numerical id | 7 |
Author | mathcam (2727) |
Entry type | Definition |
Classification | msc 94B05 |
Related topic | CyclicCode |
Related topic | WeightEnumerator |
Related topic | DualCode |
Related topic | EvenCode |
Related topic | AutomorphismGroupLinearCode |
Defines | binary code |
Defines | ternary code |
Defines | quaternary code |
Defines | dimension of a linear code |