Information on Result #699414
Linear OA(8123, 6563, F81, 12) (dual of [6563, 6540, 13]-code), using construction X applied to Ce(11) ⊂ Ce(10) based on
- linear OA(8123, 6561, F81, 12) (dual of [6561, 6538, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(8121, 6561, F81, 11) (dual of [6561, 6540, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [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(946, 13126, F9, 12) (dual of [13126, 13080, 13]-code) | [i] | Trace Code | |
| 2 | OA(2731, 6563, S27, 12) | [i] | Discarding Parts of the Base for OAs | |
| 3 | Linear OA(8172, 13126, F81, 25) (dual of [13126, 13054, 26]-code) | [i] | (u, u+v)-Construction | |
| 4 | Linear OA(8129, 6645, F81, 12) (dual of [6645, 6616, 13]-code) | [i] | ||
| 5 | Linear OA(8130, 6663, F81, 12) (dual of [6663, 6633, 13]-code) | [i] | ||
| 6 | Linear OA(8131, 6679, F81, 12) (dual of [6679, 6648, 13]-code) | [i] | ||
| 7 | Linear OA(8132, 6729, F81, 12) (dual of [6729, 6697, 13]-code) | [i] | ||
| 8 | Linear OOA(8123, 3281, F81, 2, 12) (dual of [(3281, 2), 6539, 13]-NRT-code) | [i] | OOA Folding | |