Information on Result #893882
Linear OOA(3243, large, F3, 2, 17), using trace code based on linear OOA(2781, 4194301, F27, 2, 17) (dual of [(4194301, 2), 8388521, 18]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2781, 8388602, F27, 17) (dual of [8388602, 8388521, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(2781, large, F27, 17) (dual of [large, large−81, 18]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 14348908 | 2710−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(2781, large, F27, 17) (dual of [large, large−81, 18]-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(3243, large, F3, 2, 16) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3243, large, F3, 2, 15) | [i] | ||
| 3 | Linear OOA(3243, large, F3, 2, 14) | [i] | ||
| 4 | Linear OOA(3243, large, F3, 2, 13) | [i] | ||
| 5 | Linear OOA(3243, large, F3, 2, 12) | [i] | ||
| 6 | Linear OOA(3243, large, F3, 2, 11) | [i] | ||
| 7 | Linear OOA(3243, large, F3, 2, 10) | [i] | ||
| 8 | Linear OOA(3243, large, F3, 2, 9) | [i] | ||
| 9 | Linear OOA(3243, large, F3, 2, 8) | [i] | ||
| 10 | Linear OOA(3243, large, F3, 2, 7) | [i] | ||
| 11 | Linear OOA(3243, large, F3, 2, 6) | [i] | ||
| 12 | Linear OOA(3243, large, F3, 2, 5) | [i] | ||
| 13 | Linear OOA(3243, large, F3, 2, 4) | [i] | ||
| 14 | Linear OOA(3243, large, F3, 2, 3) | [i] | ||
| 15 | Linear OOA(3245, large, F3, 2, 17) | [i] | NRT-Code Embedding in Larger Space | |
| 16 | Linear OOA(3247, large, F3, 2, 17) | [i] | ||
| 17 | Linear OOA(3249, large, F3, 2, 17) | [i] | ||
| 18 | Linear OOA(3244, large, F3, 2, 17) | [i] | OOA Duplication | |