Institute for Mathematics and Its Applications
Talk abstract:
An error e is (uniquely) correctable by an [n , k] code
$\mathcal{C}$ if and only if it
is the unique coset leader in its coset.
The Newton radius $(\mathcal{C})$ of $\mathcal{C}$ is the largest weight of a uniquely
correctable error (it was introduced in T. Helleseth and T. Klove, ``The Newton radius
of codes'', IEEE Trans. Inf. Theory, vol. 43, Nov. 1997).
We will discuss some problems on the Newton radius: