Specify the codeword length, n, and message length, k.

n = 7;
k = 3;

Create the narrow-sense generator polynomial for the [n,k] Reed-Solomon code. genpoly is a Galois field array, by default, that represents the coefficients of this generator polynomial in order of descending powers.

genpoly = rsgenpoly(n,k)

 
genpoly = GF(2^3) array. Primitive polynomial = D^3+D+1 (11 decimal)
 
Array elements = 
 
   1   3   1   2   3

Create the narrow-sense generator polynomial of a Reed-Solomon code with respect to the primitive polynomial ${\mathit{D}}^3+{\mathit{D}}^2+1$.

Specify the codeword length, n, message length, k, and primitive polynomial ${\mathit{D}}^3+{\mathit{D}}^2+1$ represented in decimal form.

n = 7;
k = 3;
prim_poly = 13;

Create the narrow-sense generator polynomial for the [n,k] Reed-Solomon code with respect to primitive polynomial ${\mathit{D}}^3+{\mathit{D}}^2+1$ for GF(8). genpoly is a Galois field array, by default, that represent the coefficients of this generator polynomial in order of descending powers.

genpoly = rsgenpoly(n,k,prim_poly)

 
genpoly = GF(2^3) array. Primitive polynomial = D^3+D^2+1 (13 decimal)
 
Array elements = 
 
   1   4   5   1   5

Create the generator polynomial of a Reed-Solomon code with respect to the default primitive polynomial.

Specify the codeword length, n, message length, k, and exponent of $\alpha$, b.

n = 7;
k = 3;
b = 4;

Create the generator polynomial $\left(\mathit{X}-{\alpha }^4\right)\left(\mathit{X}-{\alpha }^5\right)\left(\mathit{X}-{\alpha }^6\right)\left(\mathit{X}-{\alpha }^7\right)$, with respect to the default primitive polynomial. genpoly is a Galois field array that represents the coefficients of this generator polynomial in order of descending powers. Display the error-correcting capability of the code.

[genpoly,t] = rsgenpoly(n,k,[],b)

 
genpoly = GF(2^3) array. Primitive polynomial = D^3+D+1 (11 decimal)
 
Array elements = 
 
   1   5   5   3   2

t = 2

Create the generator polynomial of a Reed-Solomon code with respect to the primitive polynomial ${\mathit{D}}^8+{\mathit{D}}^4+{\mathit{D}}^3+{\mathit{D}}^2+1$.

Specify the codeword length, n, message length, k, the primitive polynomial represented in decimal form, and the exponent of $\alpha$, b.

n = 255;
k = 239;
prim_poly = 285;
b = 0;

Create the generator polynomial for the [n,k] Reed-Solomon code. genpoly is a Galois field array that represents a generator polynomial and is compliant with DVB-S and WiMAX.

genpoly = rsgenpoly(n,k,prim_poly,b)

 
genpoly = GF(2^8) array. Primitive polynomial = D^8+D^4+D^3+D^2+1 (285 decimal)
 
Array elements = 
 
  Columns 1 through 13

     1    59    13   104   189    68   209    30     8   163    65    41   229

  Columns 14 through 17

    98    50    36    59

Create the narrow-sense generator polynomial of a Reed-Solomon code. Specify the output data type as a double-precision array.

Specify the codeword length, n, and message length, k.

n = 7;
k = 3;

Create the narrow-sense generator polynomial for the [n,k] Reed-Solomon code. genpoly is a double-precision array, that represents the coefficients of this generator polynomial in order of descending powers. Specify defaults values for the primitive polynomial and exponent of $\alpha$ inputs by assigning [ ] for them.

genpoly = rsgenpoly(n,k,[],[],'double')

genpoly = 1×5

     1     3     1     2     3