Information on Result #1450047
Linear OOA(985, 46542, F9, 2, 19) (dual of [(46542, 2), 92999, 20]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(985, 46542, F9, 19) (dual of [46542, 46457, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(985, 59064, F9, 19) (dual of [59064, 58979, 20]-code), using
- construction X applied to C([0,9]) ⊂ C([0,7]) [i] based on
- linear OA(981, 59050, F9, 19) (dual of [59050, 58969, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 59050 | 910−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- linear OA(971, 59050, F9, 15) (dual of [59050, 58979, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 59050 | 910−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- linear OA(94, 14, F9, 3) (dual of [14, 10, 4]-code or 14-cap in PG(3,9)), using
- construction X applied to C([0,9]) ⊂ C([0,7]) [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(985, 23271, F9, 3, 19) (dual of [(23271, 3), 69728, 20]-NRT-code) | [i] | OOA Folding | |