Information on Result #1524394
Linear OOA(3151, 7873767, F3, 3, 13) (dual of [(7873767, 3), 23621150, 14]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(3151, 7873767, F3, 13) (dual of [7873767, 7873616, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(3151, large, F3, 13) (dual of [large, large−151, 14]-code), using
- strength reduction [i] based on linear OA(3151, large, F3, 15) (dual of [large, large−151, 16]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 14348908 | 330−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- strength reduction [i] based on linear OA(3151, large, F3, 15) (dual of [large, large−151, 16]-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m 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(3151, 3936883, F3, 5, 13) (dual of [(3936883, 5), 19684264, 14]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(3151, 3936883, F3, 15, 13) (dual of [(3936883, 15), 59053094, 14]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |