Information on Result #2702186
Linear OOA(9138, large, F9, 3, 6), using 28 times NRT-code embedding in larger space based on linear OOA(954, large, F9, 3, 6), using
- (u, u+v)-construction [i] based on
- linear OOA(912, 5580100, F9, 3, 3) (dual of [(5580100, 3), 16740288, 4]-NRT-code), using
- appending kth column [i] based on linear OOA(912, 5580100, F9, 2, 3) (dual of [(5580100, 2), 11160188, 4]-NRT-code), using
- OAs with strength 3, b ≠ 2, and m > 3 are always embeddable [i] based on linear OA(912, 5580100, F9, 3) (dual of [5580100, 5580088, 4]-code or 5580100-cap in PG(11,9)), using
- appending kth column [i] based on linear OOA(912, 5580100, F9, 2, 3) (dual of [(5580100, 2), 11160188, 4]-NRT-code), using
- linear OOA(942, 5592402, F9, 3, 6) (dual of [(5592402, 3), 16777164, 7]-NRT-code), using
- trace code [i] based on linear OOA(8121, 2796201, F81, 3, 6) (dual of [(2796201, 3), 8388582, 7]-NRT-code), using
- OOA 3-folding [i] based on linear OA(8121, large, F81, 6) (dual of [large, large−21, 7]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523360 | 814−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
- OOA 3-folding [i] based on linear OA(8121, large, F81, 6) (dual of [large, large−21, 7]-code), using
- trace code [i] based on linear OOA(8121, 2796201, F81, 3, 6) (dual of [(2796201, 3), 8388582, 7]-NRT-code), using
- linear OOA(912, 5580100, F9, 3, 3) (dual of [(5580100, 3), 16740288, 4]-NRT-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(9140, large, F9, 3, 6) | [i] | OOA Duplication | |