Information on Result #1463679
Linear OOA(8132, 5625, F81, 2, 14) (dual of [(5625, 2), 11218, 15]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(8132, 5625, F81, 14) (dual of [5625, 5593, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(8132, 6578, F81, 14) (dual of [6578, 6546, 15]-code), using
- construction X applied to Ce(13) ⊂ Ce(7) [i] based on
- linear OA(8127, 6561, F81, 14) (dual of [6561, 6534, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(8115, 6561, F81, 8) (dual of [6561, 6546, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(815, 17, F81, 5) (dual of [17, 12, 6]-code or 17-arc in PG(4,81)), using
- discarding factors / shortening the dual code based on linear OA(815, 81, F81, 5) (dual of [81, 76, 6]-code or 81-arc in PG(4,81)), using
- Reed–Solomon code RS(76,81) [i]
- discarding factors / shortening the dual code based on linear OA(815, 81, F81, 5) (dual of [81, 76, 6]-code or 81-arc in PG(4,81)), using
- construction X applied to Ce(13) ⊂ Ce(7) [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(8132, 2812, F81, 3, 14) (dual of [(2812, 3), 8404, 15]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(8132, 2812, F81, 4, 14) (dual of [(2812, 4), 11216, 15]-NRT-code) | [i] | ||