Information on Result #876907
Linear OOA(8147, 3281, F81, 2, 24) (dual of [(3281, 2), 6515, 25]-NRT-code), using OOA 2-folding based on linear OA(8147, 6562, F81, 24) (dual of [6562, 6515, 25]-code), using
- discarding factors / shortening the dual code based on linear OA(8147, 6563, F81, 24) (dual of [6563, 6516, 25]-code), using
- construction X applied to Ce(23) ⊂ Ce(22) [i] based on
- linear OA(8147, 6561, F81, 24) (dual of [6561, 6514, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(8145, 6561, F81, 23) (dual of [6561, 6516, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(810, 2, F81, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(810, s, F81, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(23) ⊂ Ce(22) [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(8159, 3363, F81, 2, 24) (dual of [(3363, 2), 6667, 25]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(8160, 3381, F81, 2, 24) (dual of [(3381, 2), 6702, 25]-NRT-code) | [i] | ||
| 3 | Linear OOA(8161, 3397, F81, 2, 24) (dual of [(3397, 2), 6733, 25]-NRT-code) | [i] | ||
| 4 | Linear OOA(8163, 3431, F81, 2, 24) (dual of [(3431, 2), 6799, 25]-NRT-code) | [i] | ||
| 5 | Linear OOA(8164, 3441, F81, 2, 24) (dual of [(3441, 2), 6818, 25]-NRT-code) | [i] | ||
| 6 | Linear OOA(8165, 3445, F81, 2, 24) (dual of [(3445, 2), 6825, 25]-NRT-code) | [i] | ||
| 7 | Linear OOA(8166, 3463, F81, 2, 24) (dual of [(3463, 2), 6860, 25]-NRT-code) | [i] | ||
| 8 | Linear OOA(8167, 3481, F81, 2, 24) (dual of [(3481, 2), 6895, 25]-NRT-code) | [i] | ||
| 9 | Linear OOA(8168, 3497, F81, 2, 24) (dual of [(3497, 2), 6926, 25]-NRT-code) | [i] | ||