Information on Result #865193
Linear OOA(2749, 265722, F27, 2, 13) (dual of [(265722, 2), 531395, 14]-NRT-code), using OOA 2-folding based on linear OA(2749, 531444, F27, 13) (dual of [531444, 531395, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(2749, 531445, F27, 13) (dual of [531445, 531396, 14]-code), using
- construction X applied to Ce(12) ⊂ Ce(11) [i] based on
- linear OA(2749, 531441, F27, 13) (dual of [531441, 531392, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(2745, 531441, F27, 12) (dual of [531441, 531396, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [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(12) ⊂ Ce(11) [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(2755, 265750, F27, 2, 13) (dual of [(265750, 2), 531445, 14]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(2756, 265760, F27, 2, 13) (dual of [(265760, 2), 531464, 14]-NRT-code) | [i] | ||
| 3 | Linear OOA(2757, 265770, F27, 2, 13) (dual of [(265770, 2), 531483, 14]-NRT-code) | [i] | ||
| 4 | Linear OOA(2758, 265778, F27, 2, 13) (dual of [(265778, 2), 531498, 14]-NRT-code) | [i] | ||
| 5 | Linear OOA(2759, 265788, F27, 2, 13) (dual of [(265788, 2), 531517, 14]-NRT-code) | [i] | ||
| 6 | OOA(2757, 265804, S27, 2, 13) | [i] | ||
| 7 | OOA(2759, 265822, S27, 2, 13) | [i] | ||