Information on Result #699933
Linear OA(12821, 16386, F128, 11) (dual of [16386, 16365, 12]-code), using construction X applied to Ce(10) ⊂ Ce(9) based on
- linear OA(12821, 16384, F128, 11) (dual of [16384, 16363, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(12819, 16384, F128, 10) (dual of [16384, 16365, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(1280, s, F128, 0) (dual of [s, s, 1]-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(1637, 16386, S16, 11) | [i] | Discarding Parts of the Base for OAs | |
| 2 | OA(3230, 16386, S32, 11) | [i] | ||
| 3 | OA(6425, 16386, S64, 11) | [i] | ||
| 4 | Linear OA(12866, 32772, F128, 23) (dual of [32772, 32706, 24]-code) | [i] | (u, u+v)-Construction | |
| 5 | Linear OA(12826, 16515, F128, 11) (dual of [16515, 16489, 12]-code) | [i] | ||
| 6 | Linear OA(12827, 16536, F128, 11) (dual of [16536, 16509, 12]-code) | [i] | ||
| 7 | Linear OA(12828, 32643, F128, 11) (dual of [32643, 32615, 12]-code) | [i] | ||
| 8 | Linear OA(12830, 32772, F128, 11) (dual of [32772, 32742, 12]-code) | [i] | ||
| 9 | Linear OOA(12821, 8193, F128, 2, 11) (dual of [(8193, 2), 16365, 12]-NRT-code) | [i] | OOA Folding | |
| 10 | Linear OOA(12821, 5462, F128, 3, 11) (dual of [(5462, 3), 16365, 12]-NRT-code) | [i] | ||
| 11 | Linear OOA(12821, 3277, F128, 11, 11) (dual of [(3277, 11), 36026, 12]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |