Information on Result #1081164
Linear OOA(3201, 4194305, F3, 4, 14) (dual of [(4194305, 4), 16777019, 15]-NRT-code), using (u, u+v)-construction based on
- linear OOA(37, 4, F3, 4, 7) (dual of [(4, 4), 9, 8]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(4;9,3) [i]
- linear OOA(3194, 4194301, F3, 4, 14) (dual of [(4194301, 4), 16777010, 15]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(3194, 8388602, F3, 2, 14) (dual of [(8388602, 2), 16777010, 15]-NRT-code), using
- trace code [i] based on linear OOA(997, 4194301, F9, 2, 14) (dual of [(4194301, 2), 8388505, 15]-NRT-code), using
- OOA 2-folding [i] based on linear OA(997, 8388602, F9, 14) (dual of [8388602, 8388505, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(997, large, F9, 14) (dual of [large, large−97, 15]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523360 | 98−1, defining interval I = [0,13], and designed minimum distance d ≥ |I|+1 = 15 [i]
- discarding factors / shortening the dual code based on linear OA(997, large, F9, 14) (dual of [large, large−97, 15]-code), using
- OOA 2-folding [i] based on linear OA(997, 8388602, F9, 14) (dual of [8388602, 8388505, 15]-code), using
- trace code [i] based on linear OOA(997, 4194301, F9, 2, 14) (dual of [(4194301, 2), 8388505, 15]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(3194, 8388602, F3, 2, 14) (dual of [(8388602, 2), 16777010, 15]-NRT-code), using
Mode: Constructive and 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(3201, 2097152, F3, 20, 14) (dual of [(2097152, 20), 41942839, 15]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |