Information on Result #699831
Linear OA(12830, 16390, F128, 15) (dual of [16390, 16360, 16]-code), using construction X applied to C([0,7]) ⊂ C([0,6]) based on
- linear OA(12829, 16385, F128, 15) (dual of [16385, 16356, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 1284−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- linear OA(12825, 16385, F128, 13) (dual of [16385, 16360, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 1284−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- linear OA(1281, 5, F128, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(1281, s, F128, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
Result | This result only | Method | ||
---|---|---|---|---|
1 | OA(1653, 16390, S16, 15) | [i] | Discarding Parts of the Base for OAs | |
2 | OA(3242, 16390, S32, 15) | [i] | ||
3 | OA(6435, 16390, S64, 15) | [i] | ||
4 | Linear OA(12838, 16540, F128, 15) (dual of [16540, 16502, 16]-code) | [i] | (u, u+v)-Construction | |
5 | Linear OOA(12830, 8195, F128, 2, 15) (dual of [(8195, 2), 16360, 16]-NRT-code) | [i] | OOA Folding | |
6 | Linear OOA(12830, 5463, F128, 3, 15) (dual of [(5463, 3), 16359, 16]-NRT-code) | [i] | ||
7 | Linear OOA(12830, 4097, F128, 4, 15) (dual of [(4097, 4), 16358, 16]-NRT-code) | [i] | ||
8 | Linear OOA(12830, 2341, F128, 15, 15) (dual of [(2341, 15), 35085, 16]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row |