Information on Result #1464250
Linear OOA(8176, 363036, F81, 2, 24) (dual of [(363036, 2), 725996, 25]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(8176, 363036, F81, 24) (dual of [363036, 362960, 25]-code), using
- discarding factors / shortening the dual code based on linear OA(8176, 531468, F81, 24) (dual of [531468, 531392, 25]-code), using
- construction X applied to Ce(23) ⊂ Ce(16) [i] based on
- 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(8149, 531441, F81, 17) (dual of [531441, 531392, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(816, 27, F81, 6) (dual of [27, 21, 7]-code or 27-arc in PG(5,81)), using
- discarding factors / shortening the dual code based on linear OA(816, 81, F81, 6) (dual of [81, 75, 7]-code or 81-arc in PG(5,81)), using
- Reed–Solomon code RS(75,81) [i]
- discarding factors / shortening the dual code based on linear OA(816, 81, F81, 6) (dual of [81, 75, 7]-code or 81-arc in PG(5,81)), using
- construction X applied to Ce(23) ⊂ Ce(16) [i] based on
Mode: 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(8176, 181518, F81, 3, 24) (dual of [(181518, 3), 544478, 25]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(8176, 181518, F81, 4, 24) (dual of [(181518, 4), 725996, 25]-NRT-code) | [i] | ||