3 papers
cs.IT2015
On the shape of the general error locator polynomial for cyclic codes
Fabrizio Caruso, Emmanuela Orsini, Massimiliano Sala +1
A general result on the explicit form of the general error locator polynomial for all cyclic codes is given, along with several results for infinite classes of cyclic codes with $t…
math.AC2011
Improved decoding of affine-variety codes
Chiara Marcolla, Emmanuela Orsini, Massimiliano Sala
General error locator polynomials are polynomials able to decode any correctable syndrome for a given linear code. Such polynomials are known to exist for all cyclic codes and for…
cs.DM2009
Computing the distance distribution of systematic non-linear codes
Eleonora Guerrini, Emmanuela Orsini, Massimiliano Sala
The most important families of non-linear codes are systematic. A brute-force check is the only known method to compute their weight distribution and distance distribution. On the…