Information on Result #878419
Linear OOA(12825, 8193, F128, 2, 13) (dual of [(8193, 2), 16361, 14]-NRT-code), using OOA 2-folding based on linear OA(12825, 16386, F128, 13) (dual of [16386, 16361, 14]-code), using
- construction X applied to Ce(12) ⊂ Ce(11) [i] based on
- linear OA(12825, 16384, F128, 13) (dual of [16384, 16359, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(12823, 16384, F128, 12) (dual of [16384, 16361, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [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 | Linear OOA(12831, 8322, F128, 2, 13) (dual of [(8322, 2), 16613, 14]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(12832, 8343, F128, 2, 13) (dual of [(8343, 2), 16654, 14]-NRT-code) | [i] | ||
| 3 | Linear OOA(12834, 8451, F128, 2, 13) (dual of [(8451, 2), 16868, 14]-NRT-code) | [i] | ||
| 4 | Linear OOA(12835, 8472, F128, 2, 13) (dual of [(8472, 2), 16909, 14]-NRT-code) | [i] | ||