id: 05903549
dt: j
an: 05903549
au: Meyer, Annika
ti: On dual extremal maximal self-orthogonal codes of type I‒IV.
so: Adv. Math. Commun. 4, No. 4, 579-596 (2010).
py: 2010
pu: Shandong University, Jinan; American Institute of Mathematical Sciences,
    Springfield, MO
la: EN
cc: 
ut: linear code; self-orthogonal code; weight distribution; extremality
ci: 
li: doi:10.3934/amc.2010.4.579
ab: Summary: For a type $T \in\{$I, II, III, IV$\}$ of codes over finite fields
    and length $N$ where there exists no self-dual type-$T$ code of length
    $N$, upper bounds on the minimum weight of the dual code of a
    self-orthogonal type-$T$ code of length $N$ are given, allowing for the
    notion of dual extremal codes. It is proven that for $T \in\{$II, III,
    IV$\}$ the Hamming weight enumerator of a dual extremal maximal
    self-orthogonal type-$T$ code of a given length is unique.
rv: