Information on Result #877091
Linear OOA(8181, 265726, F81, 2, 27) (dual of [(265726, 2), 531371, 28]-NRT-code), using OOA 2-folding based on linear OA(8181, 531452, F81, 27) (dual of [531452, 531371, 28]-code), using
- construction X applied to Ce(26) ⊂ Ce(23) [i] based on
- linear OA(8179, 531441, F81, 27) (dual of [531441, 531362, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(8170, 531441, F81, 24) (dual of [531441, 531371, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(812, 11, F81, 2) (dual of [11, 9, 3]-code or 11-arc in PG(1,81)), using
- discarding factors / shortening the dual code based on linear OA(812, 81, F81, 2) (dual of [81, 79, 3]-code or 81-arc in PG(1,81)), using
- Reed–Solomon code RS(79,81) [i]
- discarding factors / shortening the dual code based on linear OA(812, 81, F81, 2) (dual of [81, 79, 3]-code or 81-arc in PG(1,81)), 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(8181, 234611, F81, 3, 27) (dual of [(234611, 3), 703752, 28]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(8181, 234611, F81, 4, 27) (dual of [(234611, 4), 938363, 28]-NRT-code) | [i] | ||
| 3 | Digital (54, 81, 234611)-net over F81 | [i] | ||