Information on Result #1022461
Linear OOA(6433, large, F64, 3, 6), using generalized (u, u+v)-construction based on
- linear OOA(645, 2796201, F64, 3, 2) (dual of [(2796201, 3), 8388598, 3]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(645, large, F64, 3, 2), using
- appending 1 arbitrary column [i] based on linear OOA(645, large, F64, 2, 2), using
- appending kth column [i] based on linear OA(645, large, F64, 2) (dual of [large, large−5, 3]-code), using
- Hamming code H(5,64) [i]
- appending kth column [i] based on linear OA(645, large, F64, 2) (dual of [large, large−5, 3]-code), using
- appending 1 arbitrary column [i] based on linear OOA(645, large, F64, 2, 2), using
- discarding factors / shortening the dual code based on linear OOA(645, large, F64, 3, 2), using
- linear OOA(647, 2796201, F64, 3, 3) (dual of [(2796201, 3), 8388596, 4]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(647, 8388602, F64, 3, 3) (dual of [(8388602, 3), 25165799, 4]-NRT-code), using
- OOA stacking with additional row [i] based on linear OA(647, large, F64, 3) (dual of [large, large−7, 4]-code), using
- discarding factors / shortening the dual code based on linear OOA(647, 8388602, F64, 3, 3) (dual of [(8388602, 3), 25165799, 4]-NRT-code), using
- linear OOA(6421, 2796201, F64, 3, 6) (dual of [(2796201, 3), 8388582, 7]-NRT-code), using
- OOA 3-folding [i] based on linear OA(6421, large, F64, 6) (dual of [large, large−21, 7]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 644−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
- OOA 3-folding [i] based on linear OA(6421, large, F64, 6) (dual of [large, large−21, 7]-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(6433, large, F64, 3, 5) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(6433, large, F64, 3, 4) | [i] | ||
| 3 | Linear OOA(6433, large, F64, 3, 3) | [i] | ||
| 4 | Linear OOA(6436, large, F64, 3, 6) | [i] | NRT-Code Embedding in Larger Space | |
| 5 | Linear OOA(6442, large, F64, 3, 6) | [i] | ||
| 6 | Linear OOA(6445, large, F64, 3, 6) | [i] | ||
| 7 | Linear OOA(6448, large, F64, 3, 6) | [i] | ||
| 8 | Linear OOA(6454, large, F64, 3, 6) | [i] | ||
| 9 | Linear OOA(6460, large, F64, 3, 6) | [i] | ||
| 10 | Linear OOA(6478, large, F64, 3, 6) | [i] | ||
| 11 | Linear OOA(6481, large, F64, 3, 6) | [i] | ||
| 12 | Linear OOA(6433, 8388602, F64, 9, 6) (dual of [(8388602, 9), 75497385, 7]-NRT-code) | [i] | OOA Stacking with Additional Row | |