Information on Result #1561052
Linear OOA(9100, 323520, F9, 3, 19) (dual of [(323520, 3), 970460, 20]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(9100, 323520, F9, 19) (dual of [323520, 323420, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(9100, 531452, F9, 19) (dual of [531452, 531352, 20]-code), using
- construction X applied to C([0,9]) ⊂ C([0,7]) [i] based on
- linear OA(997, 531442, F9, 19) (dual of [531442, 531345, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 531442 | 912−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- linear OA(985, 531442, F9, 15) (dual of [531442, 531357, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 531442 | 912−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- linear OA(93, 10, F9, 3) (dual of [10, 7, 4]-code or 10-arc in PG(2,9) or 10-cap in PG(2,9)), using
- extended Reed–Solomon code RSe(7,9) [i]
- oval in PG(2, 9) [i]
- 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(9100, 107839, F9, 21, 19) (dual of [(107839, 21), 2264519, 20]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |