Information on Result #1059601
Linear OOA(3130, 4194301, F3, 4, 10) (dual of [(4194301, 4), 16777074, 11]-NRT-code), using OOA 2-folding based on linear OOA(3130, 8388602, F3, 2, 10) (dual of [(8388602, 2), 16777074, 11]-NRT-code), using
- trace code [i] based on linear OOA(965, 4194301, F9, 2, 10) (dual of [(4194301, 2), 8388537, 11]-NRT-code), using
- OOA 2-folding [i] based on linear OA(965, 8388602, F9, 10) (dual of [8388602, 8388537, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(965, large, F9, 10) (dual of [large, large−65, 11]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523360 | 98−1, defining interval I = [0,9], and designed minimum distance d ≥ |I|+1 = 11 [i]
- discarding factors / shortening the dual code based on linear OA(965, large, F9, 10) (dual of [large, large−65, 11]-code), using
- OOA 2-folding [i] based on linear OA(965, 8388602, F9, 10) (dual of [8388602, 8388537, 11]-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(3134, 4194302, F3, 4, 10) (dual of [(4194302, 4), 16777074, 11]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(3131, 4194301, F3, 4, 10) (dual of [(4194301, 4), 16777073, 11]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(3132, 4194301, F3, 4, 10) (dual of [(4194301, 4), 16777072, 11]-NRT-code) | [i] | ||
| 4 | Linear OOA(3133, 4194301, F3, 4, 10) (dual of [(4194301, 4), 16777071, 11]-NRT-code) | [i] | ||
| 5 | Linear OOA(3135, 4194305, F3, 4, 10) (dual of [(4194305, 4), 16777085, 11]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 6 | Linear OOA(3136, 4194308, F3, 4, 10) (dual of [(4194308, 4), 16777096, 11]-NRT-code) | [i] | ||
| 7 | Linear OOA(3137, 4194312, F3, 4, 10) (dual of [(4194312, 4), 16777111, 11]-NRT-code) | [i] | ||
| 8 | Linear OOA(3138, 4194319, F3, 4, 10) (dual of [(4194319, 4), 16777138, 11]-NRT-code) | [i] | ||
| 9 | Linear OOA(3139, 4194329, F3, 4, 10) (dual of [(4194329, 4), 16777177, 11]-NRT-code) | [i] | ||
| 10 | Linear OOA(3140, 4194339, F3, 4, 10) (dual of [(4194339, 4), 16777216, 11]-NRT-code) | [i] | ||
| 11 | Linear OOA(3141, 4194378, F3, 4, 10) (dual of [(4194378, 4), 16777371, 11]-NRT-code) | [i] | ||
| 12 | Linear OOA(3142, 4194396, F3, 4, 10) (dual of [(4194396, 4), 16777442, 11]-NRT-code) | [i] | ||
| 13 | Linear OOA(3143, 4194404, F3, 4, 10) (dual of [(4194404, 4), 16777473, 11]-NRT-code) | [i] | ||
| 14 | Linear OOA(3147, 4194531, F3, 4, 10) (dual of [(4194531, 4), 16777977, 11]-NRT-code) | [i] | ||