On the Maximality of Additive Codes

Tim Alderson

An additive $(n,k,d{)}_{q^m/q}$-code is a $\mathrm{GF}(q)$-linear subspace of $\mathrm{GF}(q^m{)}^n$ of $\mathrm{GF}(q)$-dimension $km$ with minimum Hamming distance $d$. We first exte…