| Communications Toolbox | |
This toolbox supports Reed-Solomon codes that use m-bit symbols instead of bits. A message for an [n,k] Reed-Solomon code must be a k-column Galois array in the field GF(2m). Each array entry must be an integer between 0 and 2m-1. The code corresponding to that message is an n-column Galois array in GF(2m). The codeword length n must be between 3 and 2m-1.
Note For information about Galois arrays and how to create them, see Representing Elements of Galois Fields or the reference page for the gf function. |
The example below illustrates how to represent words for a [7,3] Reed-Solomon code.
n = 7; k = 3; % Codeword length and message length m = 3; % Number of bits in each symbol msg = gf([1 6 4; 0 4 3],m); % Message is a Galois array. c = rsenc(msg,n,k) % Code will be a Galois array.
The output is
c = GF(2^3) array. Primitive polynomial = D^3+D+1 (11 decimal)
Array elements =
1 6 4 4 3 6 3
0 4 3 3 7 4 7
| | Block Coding Terminology | Parameters for Reed-Solomon Codes | |
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