Information on Result #1068585
Linear OOA(8125, 132861, F81, 4, 9) (dual of [(132861, 4), 531419, 10]-NRT-code), using OOA 4-folding based on linear OA(8125, 531444, F81, 9) (dual of [531444, 531419, 10]-code), using
- construction X applied to Ce(8) ⊂ Ce(7) [i] based on
- linear OA(8125, 531441, F81, 9) (dual of [531441, 531416, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(8122, 531441, F81, 8) (dual of [531441, 531419, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [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(8129, 132943, F81, 4, 9) (dual of [(132943, 4), 531743, 10]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(8130, 132961, F81, 4, 9) (dual of [(132961, 4), 531814, 10]-NRT-code) | [i] | ||
| 3 | Linear OOA(8131, 136101, F81, 4, 9) (dual of [(136101, 4), 544373, 10]-NRT-code) | [i] | ||
| 4 | Linear OOA(8132, 136142, F81, 4, 9) (dual of [(136142, 4), 544536, 10]-NRT-code) | [i] | ||
| 5 | Linear OOA(8150, large, F81, 4, 9) | [i] | Generalized (u, u+v)-Construction for OOAs | |