Information on Result #1068736
Linear OOA(8137, 132861, F81, 4, 13) (dual of [(132861, 4), 531407, 14]-NRT-code), using OOA 4-folding based on linear OA(8137, 531444, F81, 13) (dual of [531444, 531407, 14]-code), using
- construction X applied to Ce(12) ⊂ Ce(11) [i] based on
- linear OA(8137, 531441, F81, 13) (dual of [531441, 531404, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(8134, 531441, F81, 12) (dual of [531441, 531407, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(810, 3, F81, 0) (dual of [3, 3, 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 OOA(8143, 132943, F81, 4, 13) (dual of [(132943, 4), 531729, 14]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(8144, 132961, F81, 4, 13) (dual of [(132961, 4), 531800, 14]-NRT-code) | [i] | ||
| 3 | Linear OOA(8145, 132977, F81, 4, 13) (dual of [(132977, 4), 531863, 14]-NRT-code) | [i] | ||
| 4 | Linear OOA(8146, 133025, F81, 4, 13) (dual of [(133025, 4), 532054, 14]-NRT-code) | [i] | ||
| 5 | Linear OOA(8147, 133043, F81, 4, 13) (dual of [(133043, 4), 532125, 14]-NRT-code) | [i] | ||
| 6 | Linear OOA(8148, 135048, F81, 4, 13) (dual of [(135048, 4), 540144, 14]-NRT-code) | [i] | ||