Institute for Mathematics and Its Applications

Talk abstract:

On the Newton radius

Torleiv Kløve, University of Bergen

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    nu.xbm $(\mathcal{C})$ 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:

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