Information on Result #1559327
Linear OOA(8172, 169999, F8, 3, 33) (dual of [(169999, 3), 509825, 34]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(8172, 169999, F8, 33) (dual of [169999, 169827, 34]-code), using
- discarding factors / shortening the dual code based on linear OA(8172, 262155, F8, 33) (dual of [262155, 261983, 34]-code), using
- construction X applied to C([0,16]) ⊂ C([0,14]) [i] based on
- linear OA(8169, 262145, F8, 33) (dual of [262145, 261976, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 812−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [i]
- linear OA(8157, 262145, F8, 29) (dual of [262145, 261988, 30]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 812−1, defining interval I = [0,14], and minimum distance d ≥ |{−14,−13,…,14}|+1 = 30 (BCH-bound) [i]
- linear OA(83, 10, F8, 3) (dual of [10, 7, 4]-code or 10-arc in PG(2,8) or 10-cap in PG(2,8)), using
- construction X applied to C([0,16]) ⊂ C([0,14]) [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(8172, 28333, F8, 39, 33) (dual of [(28333, 39), 1104815, 34]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |