Information on Result #1081063
Linear OOA(3186, large, F3, 4, 12), using (u, u+v)-construction based on
- linear OOA(36, 4, F3, 4, 6) (dual of [(4, 4), 10, 7]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(4;10,3) [i]
- linear OOA(3180, 8388600, F3, 4, 12) (dual of [(8388600, 4), 33554220, 13]-NRT-code), using
- trace code [i] based on linear OOA(8145, 2097150, F81, 4, 12) (dual of [(2097150, 4), 8388555, 13]-NRT-code), using
- OOA 4-folding [i] based on linear OA(8145, 8388600, F81, 12) (dual of [8388600, 8388555, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(8145, large, F81, 12) (dual of [large, large−45, 13]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523360 | 814−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 13 [i]
- discarding factors / shortening the dual code based on linear OA(8145, large, F81, 12) (dual of [large, large−45, 13]-code), using
- OOA 4-folding [i] based on linear OA(8145, 8388600, F81, 12) (dual of [8388600, 8388555, 13]-code), using
- trace code [i] based on linear OOA(8145, 2097150, F81, 4, 12) (dual of [(2097150, 4), 8388555, 13]-NRT-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and t, 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(3186, large, F3, 4, 11) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3186, large, F3, 4, 10) | [i] | ||
| 3 | Linear OOA(3186, large, F3, 4, 9) | [i] | ||
| 4 | Linear OOA(3186, large, F3, 4, 8) | [i] | ||
| 5 | Linear OOA(3186, large, F3, 4, 7) | [i] | ||
| 6 | Linear OOA(3186, large, F3, 4, 6) | [i] | ||
| 7 | Linear OOA(3186, large, F3, 4, 5) | [i] | ||
| 8 | Linear OOA(3186, large, F3, 4, 4) | [i] | ||
| 9 | Linear OOA(3186, large, F3, 4, 3) | [i] | ||
| 10 | Linear OOA(3190, large, F3, 4, 12) | [i] | NRT-Code Embedding in Larger Space | |
| 11 | Linear OOA(3194, large, F3, 4, 12) | [i] | ||
| 12 | Linear OOA(3198, large, F3, 4, 12) | [i] | ||
| 13 | Linear OOA(3206, large, F3, 4, 12) | [i] | ||
| 14 | Linear OOA(3210, large, F3, 4, 12) | [i] | ||
| 15 | Linear OOA(3214, large, F3, 4, 12) | [i] | ||
| 16 | Linear OOA(3218, large, F3, 4, 12) | [i] | ||
| 17 | Linear OOA(3222, large, F3, 4, 12) | [i] | ||
| 18 | Linear OOA(3226, large, F3, 4, 12) | [i] | ||
| 19 | Linear OOA(3230, large, F3, 4, 12) | [i] | ||
| 20 | Linear OOA(3234, large, F3, 4, 12) | [i] | ||
| 21 | Linear OOA(3238, large, F3, 4, 12) | [i] | ||
| 22 | Linear OOA(3242, large, F3, 4, 12) | [i] | ||
| 23 | Linear OOA(3246, large, F3, 4, 12) | [i] | ||
| 24 | Linear OOA(3250, large, F3, 4, 12) | [i] | ||
| 25 | Linear OOA(3187, large, F3, 4, 12) | [i] | OOA Duplication | |
| 26 | Linear OOA(3189, large, F3, 4, 12) | [i] | ||