Information on Result #1520928
Linear OOA(369, 4194549, F3, 3, 7) (dual of [(4194549, 3), 12583578, 8]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(369, 4194549, F3, 2, 7) (dual of [(4194549, 2), 8389029, 8]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(38, 248, F3, 2, 3) (dual of [(248, 2), 488, 4]-NRT-code), using
- linear OOA(361, 4194301, F3, 2, 7) (dual of [(4194301, 2), 8388541, 8]-NRT-code), using
- OOA 2-folding [i] based on linear OA(361, 8388602, F3, 7) (dual of [8388602, 8388541, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(361, large, F3, 7) (dual of [large, large−61, 8]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 14348908 | 330−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(361, large, F3, 7) (dual of [large, large−61, 8]-code), using
- OOA 2-folding [i] based on linear OA(361, 8388602, F3, 7) (dual of [8388602, 8388541, 8]-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(369, 4194548, F3, 4, 7) (dual of [(4194548, 4), 16778123, 8]-NRT-code) | [i] | OOA Stacking with Additional Row | |
| 2 | Linear OOA(369, 4194548, F3, 5, 7) (dual of [(4194548, 5), 20972671, 8]-NRT-code) | [i] | ||
| 3 | Linear OOA(369, 4194548, F3, 9, 7) (dual of [(4194548, 9), 37750863, 8]-NRT-code) | [i] | ||