Information on Result #1463594
Linear OOA(8117, 4594, F81, 2, 8) (dual of [(4594, 2), 9171, 9]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(8117, 4594, F81, 8) (dual of [4594, 4577, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(8117, 6569, F81, 8) (dual of [6569, 6552, 9]-code), using
- construction X applied to Ce(7) ⊂ Ce(4) [i] based on
- 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(819, 6561, F81, 5) (dual of [6561, 6552, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(812, 8, F81, 2) (dual of [8, 6, 3]-code or 8-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
- construction X applied to Ce(7) ⊂ Ce(4) [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(8117, 2297, F81, 3, 8) (dual of [(2297, 3), 6874, 9]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(8117, 2297, F81, 4, 8) (dual of [(2297, 4), 9171, 9]-NRT-code) | [i] | ||