Information on Result #1081165
Linear OOA(3202, 4194308, F3, 4, 14) (dual of [(4194308, 4), 16777030, 15]-NRT-code), using (u, u+v)-construction based on
- linear OOA(38, 7, F3, 4, 7) (dual of [(7, 4), 20, 8]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,20P) [i] based on function field F/F3 with g(F) = 1 and N(F) ≥ 7, using
- 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(3202, 2097153, F3, 20, 14) (dual of [(2097153, 20), 41942858, 15]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |