Information on Result #1017567
Linear OOA(6428, 5592402, F64, 3, 6) (dual of [(5592402, 3), 16777178, 7]-NRT-code), using (u, u+v)-construction based on
- linear OOA(647, large, F64, 3, 3), using
- appending kth column [i] based on linear OOA(647, large, F64, 2, 3), using
- OAs with strength 3, b ≠ 2, and m > 3 are always embeddable [i] based on linear OA(647, large, F64, 3) (dual of [large, large−7, 4]-code), using
- appending kth column [i] based on linear OOA(647, large, F64, 2, 3), 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 s, k and t, m and s, 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(6435, large, F64, 3, 6) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(6428, 5592401, F64, 9, 6) (dual of [(5592401, 9), 50331581, 7]-NRT-code) | [i] | OOA Stacking with Additional Row | |