Information on Result #865523
Linear OOA(2755, 9843, F27, 2, 19) (dual of [(9843, 2), 19631, 20]-NRT-code), using OOA 2-folding based on linear OA(2755, 19686, F27, 19) (dual of [19686, 19631, 20]-code), using
- construction X applied to Ce(18) ⊂ Ce(17) [i] based on
- linear OA(2755, 19683, F27, 19) (dual of [19683, 19628, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(2752, 19683, F27, 18) (dual of [19683, 19631, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(270, 3, F27, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(270, s, F27, 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(2764, 9871, F27, 2, 19) (dual of [(9871, 2), 19678, 20]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(2765, 9881, F27, 2, 19) (dual of [(9881, 2), 19697, 20]-NRT-code) | [i] | ||
| 3 | Linear OOA(2766, 9891, F27, 2, 19) (dual of [(9891, 2), 19716, 20]-NRT-code) | [i] | ||
| 4 | Linear OOA(2767, 9895, F27, 2, 19) (dual of [(9895, 2), 19723, 20]-NRT-code) | [i] | ||
| 5 | Linear OOA(2768, 9907, F27, 2, 19) (dual of [(9907, 2), 19746, 20]-NRT-code) | [i] | ||
| 6 | Linear OOA(2769, 9911, F27, 2, 19) (dual of [(9911, 2), 19753, 20]-NRT-code) | [i] | ||
| 7 | Linear OOA(2770, 9919, F27, 2, 19) (dual of [(9919, 2), 19768, 20]-NRT-code) | [i] | ||
| 8 | OOA(2767, 9925, S27, 2, 19) | [i] | ||
| 9 | OOA(2769, 9943, S27, 2, 19) | [i] | ||
| 10 | OOA(2770, 9959, S27, 2, 19) | [i] | ||
| 11 | Digital (36, 55, 9843)-net over F27 | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |