On a linear code from a configuration of affine lines
نویسنده
چکیده
We will show how to make a linear code from a configuration of affine lines in general position and a suitable set of rational points on it. The number of rational points on our singular curve is beyond the Weil bound and their coordinates are quite easy to compute. We will show a new decoding procedure which originates from the configuration. It is expected our method may correct errors less than almost the minimal distance itself, not the half of it. 2000 Mathematics Subject Classification : 11T71, 14G50, 94B27, 94B35, 94B70.
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عنوان ژورنال:
- CoRR
دوره abs/0708.2784 شماره
صفحات -
تاریخ انتشار 2007