Information on Result #699387
Linear OA(8159, 6563, F81, 30) (dual of [6563, 6504, 31]-code), using construction X applied to Ce(29) ⊂ Ce(28) based on
- linear OA(8159, 6561, F81, 30) (dual of [6561, 6502, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(8157, 6561, F81, 29) (dual of [6561, 6504, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [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
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 OA(9118, 13126, F9, 30) (dual of [13126, 13008, 31]-code) | [i] | Trace Code | |
| 2 | OA(2779, 6563, S27, 30) | [i] | Discarding Parts of the Base for OAs | |
| 3 | Linear OA(8174, 6645, F81, 30) (dual of [6645, 6571, 31]-code) | [i] | (u, u+v)-Construction | |
| 4 | Linear OA(8175, 6663, F81, 30) (dual of [6663, 6588, 31]-code) | [i] | ||
| 5 | Linear OA(8176, 6679, F81, 30) (dual of [6679, 6603, 31]-code) | [i] | ||
| 6 | Linear OA(8177, 6681, F81, 30) (dual of [6681, 6604, 31]-code) | [i] | ||
| 7 | Linear OA(8178, 6713, F81, 30) (dual of [6713, 6635, 31]-code) | [i] | ||
| 8 | Linear OA(8179, 6723, F81, 30) (dual of [6723, 6644, 31]-code) | [i] | ||
| 9 | Linear OA(8180, 6725, F81, 30) (dual of [6725, 6645, 31]-code) | [i] | ||
| 10 | Linear OA(8181, 6735, F81, 30) (dual of [6735, 6654, 31]-code) | [i] | ||
| 11 | Linear OA(8182, 6745, F81, 30) (dual of [6745, 6663, 31]-code) | [i] | ||
| 12 | Linear OOA(8159, 3281, F81, 2, 30) (dual of [(3281, 2), 6503, 31]-NRT-code) | [i] | OOA Folding | |