Information on Result #1079216
Linear OOA(2176, large, F2, 4, 8), using trace code based on linear OOA(25622, 2097150, F256, 4, 8) (dual of [(2097150, 4), 8388578, 9]-NRT-code), using
- OOA 4-folding [i] based on linear OA(25622, 8388600, F256, 8) (dual of [8388600, 8388578, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(25622, large, F256, 8) (dual of [large, large−22, 9]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,7], and designed minimum distance d ≥ |I|+1 = 9 [i]
- discarding factors / shortening the dual code based on linear OA(25622, large, F256, 8) (dual of [large, large−22, 9]-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(2176, large, F2, 4, 7) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2176, large, F2, 4, 6) | [i] | ||
| 3 | Linear OOA(2176, large, F2, 4, 5) | [i] | ||
| 4 | Linear OOA(2176, large, F2, 4, 4) | [i] | ||
| 5 | Linear OOA(2176, large, F2, 4, 3) | [i] | ||