Information on Result #1079214
Linear OOA(2231, large, F2, 4, 9), using trace code based on linear OOA(12833, 2097150, F128, 4, 9) (dual of [(2097150, 4), 8388567, 10]-NRT-code), using
- OOA 4-folding [i] based on linear OA(12833, 8388600, F128, 9) (dual of [8388600, 8388567, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(12833, large, F128, 9) (dual of [large, large−33, 10]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 15790321 | 1288−1, 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(12833, large, F128, 9) (dual of [large, large−33, 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(2231, large, F2, 4, 8) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2231, large, F2, 4, 7) | [i] | ||
| 3 | Linear OOA(2231, large, F2, 4, 6) | [i] | ||
| 4 | Linear OOA(2231, large, F2, 4, 5) | [i] | ||
| 5 | Linear OOA(2231, large, F2, 4, 4) | [i] | ||
| 6 | Linear OOA(2231, large, F2, 4, 3) | [i] | ||