Information on Result #893881
Linear OOA(3123, large, F3, 2, 9), using trace code based on linear OOA(2741, 4194301, F27, 2, 9) (dual of [(4194301, 2), 8388561, 10]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2741, 8388602, F27, 9) (dual of [8388602, 8388561, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(2741, large, F27, 9) (dual of [large, large−41, 10]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 14348908 | 2710−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(2741, large, F27, 9) (dual of [large, large−41, 10]-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(3123, large, F3, 2, 8) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3123, large, F3, 2, 7) | [i] | ||
| 3 | Linear OOA(3123, large, F3, 2, 6) | [i] | ||
| 4 | Linear OOA(3123, large, F3, 2, 5) | [i] | ||
| 5 | Linear OOA(3123, large, F3, 2, 4) | [i] | ||
| 6 | Linear OOA(3123, large, F3, 2, 3) | [i] | ||
| 7 | Linear OOA(3124, large, F3, 2, 9) | [i] | OOA Duplication | |