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arXiv · 1601.00443

On the dual code of points and generators on the Hermitian variety $\mathcal{H}(2n+1,q^2)$

Maarten De Boeck·Peter Vandendriessche
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Abstract

We study the dual linear code of points and generators on a non-singular Hermitian variety $\mathcal{H}(2n+1,q^2)$. We improve the earlier results for $n=2$, we solve the minimum distance problem for general $n$, we classify the $n$ smallest types of code words and we characterize the small weight code words as being a linear combination of these $n$ types.

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Maarten De Boeck, Peter Vandendriessche. 2016-01-04. On the dual code of points and generators on the Hermitian variety $\mathcal{H}(2n+1,q^2)$. https://doi.org/10.3934/amc.2014.8.281

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