Seven new champion linear codes
نویسندگان
چکیده
We exhibit seven linear codes exceeding the current best known minimum distance d for their dimension k and block length n. Each code is defined over F8, and their invariants [n, k, d] are given by [49, 13, 27], [49, 14, 26], [49, 16, 24], [49, 17, 23], [49, 19, 21], [49, 25, 16] and [49, 26, 15]. Our method includes an exhaustive search of all monomial evaluation codes generated by points in the [0, 5]× [0, 5] lattice square.
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ورودعنوان ژورنال:
- CoRR
دوره abs/1212.5197 شماره
صفحات -
تاریخ انتشار 2012