Information on Result #1463745
Linear OOA(8140, 6585, F81, 2, 17) (dual of [(6585, 2), 13130, 18]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(8140, 6585, F81, 17) (dual of [6585, 6545, 18]-code), using
- construction X applied to C([0,8]) ⊂ C([0,4]) [i] based on
- linear OA(8133, 6562, F81, 17) (dual of [6562, 6529, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 814−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- linear OA(8117, 6562, F81, 9) (dual of [6562, 6545, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 814−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- linear OA(817, 23, F81, 7) (dual of [23, 16, 8]-code or 23-arc in PG(6,81)), using
- discarding factors / shortening the dual code based on linear OA(817, 81, F81, 7) (dual of [81, 74, 8]-code or 81-arc in PG(6,81)), using
- Reed–Solomon code RS(74,81) [i]
- discarding factors / shortening the dual code based on linear OA(817, 81, F81, 7) (dual of [81, 74, 8]-code or 81-arc in PG(6,81)), using
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(8140, 3292, F81, 3, 17) (dual of [(3292, 3), 9836, 18]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(8140, 3292, F81, 4, 17) (dual of [(3292, 4), 13128, 18]-NRT-code) | [i] | ||