Galois Field Array to Exponential Array Conversion

Convert GF array into exponential notation (a^3, etc)

Description

This code converts a Galois Field array created using GF(2^m) for a given primitive polynomial into the 'exponential' notation, which you can use with gfrepcov() to binary if you wish.

Uses the gf2dec() function internally.

Example usage:
>> genpoly = rsgenpoly(15,11)
genpoly = GF(2^4) array. Primitive polynomial = D^4+D+1 (19 decimal)
 
Array elements =
 1 13 12 8 7

>> gf2exp(genpoly, 4, primpoly(4))
ans =
     0 13 6 3 10

Showing this RS Polynomial is of form: X^4 + A^13*X^3 + A^6*X^2 + A^3*X + A^10, which is how you see it displayed in text books etc.

Acknowledgements

The author wishes to acknowledge the following in the creation of this submission:
Galois Field Array to Decimal Array Conversion

• MATLAB release: MATLAB 7.5 (R2007b)
• Other requirements: NB: Must also download http://www.mathworks.com/matlabcentral/fileexchange/12542-galois-field-array-to-decimal-array-conversion