Information on Result #1060001
Linear OOA(3194, 4194301, F3, 4, 14) (dual of [(4194301, 4), 16777010, 15]-NRT-code), using OOA 2-folding 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
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(3198, 4194302, F3, 4, 14) (dual of [(4194302, 4), 16777010, 15]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(3195, 4194301, F3, 4, 14) (dual of [(4194301, 4), 16777009, 15]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(3196, 4194301, F3, 4, 14) (dual of [(4194301, 4), 16777008, 15]-NRT-code) | [i] | ||
| 4 | Linear OOA(3197, 4194301, F3, 4, 14) (dual of [(4194301, 4), 16777007, 15]-NRT-code) | [i] | ||
| 5 | Linear OOA(3201, 4194305, F3, 4, 14) (dual of [(4194305, 4), 16777019, 15]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 6 | Linear OOA(3202, 4194308, F3, 4, 14) (dual of [(4194308, 4), 16777030, 15]-NRT-code) | [i] | ||
| 7 | Linear OOA(3203, 4194310, F3, 4, 14) (dual of [(4194310, 4), 16777037, 15]-NRT-code) | [i] | ||
| 8 | Linear OOA(3204, 4194312, F3, 4, 14) (dual of [(4194312, 4), 16777044, 15]-NRT-code) | [i] | ||
| 9 | Linear OOA(3205, 4194316, F3, 4, 14) (dual of [(4194316, 4), 16777059, 15]-NRT-code) | [i] | ||
| 10 | Linear OOA(3206, 4194321, F3, 4, 14) (dual of [(4194321, 4), 16777078, 15]-NRT-code) | [i] | ||
| 11 | Linear OOA(3207, 4194327, F3, 4, 14) (dual of [(4194327, 4), 16777101, 15]-NRT-code) | [i] | ||
| 12 | Linear OOA(3208, 4194335, F3, 4, 14) (dual of [(4194335, 4), 16777132, 15]-NRT-code) | [i] | ||