Information on Result #1018450
Linear OOA(8132, 5592402, F81, 3, 7) (dual of [(5592402, 3), 16777174, 8]-NRT-code), using (u, u+v)-construction based on
- linear OOA(817, large, F81, 3, 3), using
- appending kth column [i] based on linear OOA(817, large, F81, 2, 3), using
- OAs with strength 3, b ≠ 2, and m > 3 are always embeddable [i] based on linear OA(817, large, F81, 3) (dual of [large, large−7, 4]-code), using
- appending kth column [i] based on linear OOA(817, large, F81, 2, 3), using
- linear OOA(8125, 2796201, F81, 3, 7) (dual of [(2796201, 3), 8388578, 8]-NRT-code), using
- OOA 3-folding [i] based on linear OA(8125, large, F81, 7) (dual of [large, large−25, 8]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523361 | 818−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- OOA 3-folding [i] based on linear OA(8125, large, F81, 7) (dual of [large, large−25, 8]-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(8139, large, F81, 3, 7) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(8132, 5592401, F81, 4, 7) (dual of [(5592401, 4), 22369572, 8]-NRT-code) | [i] | OOA Stacking with Additional Row | |
| 3 | Linear OOA(8132, 5592401, F81, 9, 7) (dual of [(5592401, 9), 50331577, 8]-NRT-code) | [i] | ||