Information on Result #865769
Linear OOA(2785, 265722, F27, 2, 22) (dual of [(265722, 2), 531359, 23]-NRT-code), using OOA 2-folding based on linear OA(2785, 531444, F27, 22) (dual of [531444, 531359, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(2785, 531445, F27, 22) (dual of [531445, 531360, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(20) [i] based on
- linear OA(2785, 531441, F27, 22) (dual of [531441, 531356, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(2781, 531441, F27, 21) (dual of [531441, 531360, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(270, 4, F27, 0) (dual of [4, 4, 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
- construction X applied to Ce(21) ⊂ Ce(20) [i] based on
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(2796, 265750, F27, 2, 22) (dual of [(265750, 2), 531404, 23]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(2797, 265760, F27, 2, 22) (dual of [(265760, 2), 531423, 23]-NRT-code) | [i] | ||
| 3 | Linear OOA(2798, 265770, F27, 2, 22) (dual of [(265770, 2), 531442, 23]-NRT-code) | [i] | ||
| 4 | Linear OOA(2799, 265774, F27, 2, 22) (dual of [(265774, 2), 531449, 23]-NRT-code) | [i] | ||
| 5 | Linear OOA(27100, 265786, F27, 2, 22) (dual of [(265786, 2), 531472, 23]-NRT-code) | [i] | ||
| 6 | Linear OOA(27101, 265790, F27, 2, 22) (dual of [(265790, 2), 531479, 23]-NRT-code) | [i] | ||
| 7 | Linear OOA(27102, 265798, F27, 2, 22) (dual of [(265798, 2), 531494, 23]-NRT-code) | [i] | ||
| 8 | Linear OOA(27103, 265804, F27, 2, 22) (dual of [(265804, 2), 531505, 23]-NRT-code) | [i] | ||
| 9 | Linear OOA(27104, 265808, F27, 2, 22) (dual of [(265808, 2), 531512, 23]-NRT-code) | [i] | ||
| 10 | Linear OOA(27105, 265818, F27, 2, 22) (dual of [(265818, 2), 531531, 23]-NRT-code) | [i] | ||
| 11 | OOA(27100, 265804, S27, 2, 22) | [i] | ||
| 12 | OOA(27101, 265822, S27, 2, 22) | [i] | ||
| 13 | OOA(27103, 265838, S27, 2, 22) | [i] | ||
| 14 | OOA(27105, 265872, S27, 2, 22) | [i] | ||