Information on Result #1015916
Linear OOA(962, large, F9, 3, 7), using (u, u+v)-construction 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(950, 5592402, F9, 3, 7) (dual of [(5592402, 3), 16777156, 8]-NRT-code), using
- trace code [i] based on 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
- trace code [i] based on linear OOA(8125, 2796201, F81, 3, 7) (dual of [(2796201, 3), 8388578, 8]-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(962, large, F9, 3, 6) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(962, large, F9, 3, 5) | [i] | ||
| 3 | Linear OOA(962, large, F9, 3, 4) | [i] | ||
| 4 | Linear OOA(962, large, F9, 3, 3) | [i] | ||
| 5 | Linear OOA(965, large, F9, 3, 7) | [i] | NRT-Code Embedding in Larger Space | |
| 6 | Linear OOA(968, large, F9, 3, 7) | [i] | ||
| 7 | Linear OOA(971, large, F9, 3, 7) | [i] | ||
| 8 | Linear OOA(974, large, F9, 3, 7) | [i] | ||
| 9 | Linear OOA(977, large, F9, 3, 7) | [i] | ||
| 10 | Linear OOA(980, large, F9, 3, 7) | [i] | ||
| 11 | Linear OOA(986, large, F9, 3, 7) | [i] | ||
| 12 | Linear OOA(989, large, F9, 3, 7) | [i] | ||
| 13 | Linear OOA(992, large, F9, 3, 7) | [i] | ||
| 14 | Linear OOA(995, large, F9, 3, 7) | [i] | ||
| 15 | Linear OOA(998, large, F9, 3, 7) | [i] | ||
| 16 | Linear OOA(9101, large, F9, 3, 7) | [i] | ||
| 17 | Linear OOA(9104, large, F9, 3, 7) | [i] | ||
| 18 | Linear OOA(9110, large, F9, 3, 7) | [i] | ||
| 19 | Linear OOA(9113, large, F9, 3, 7) | [i] | ||
| 20 | Linear OOA(9116, large, F9, 3, 7) | [i] | ||
| 21 | Linear OOA(9119, large, F9, 3, 7) | [i] | ||
| 22 | Linear OOA(9122, large, F9, 3, 7) | [i] | ||
| 23 | Linear OOA(9125, large, F9, 3, 7) | [i] | ||
| 24 | Linear OOA(9128, large, F9, 3, 7) | [i] | ||
| 25 | Linear OOA(9134, large, F9, 3, 7) | [i] | ||
| 26 | Linear OOA(9137, large, F9, 3, 7) | [i] | ||
| 27 | Linear OOA(9140, large, F9, 3, 7) | [i] | ||
| 28 | Linear OOA(9143, large, F9, 3, 7) | [i] | ||
| 29 | Linear OOA(9146, large, F9, 3, 7) | [i] | ||
| 30 | Linear OOA(9149, large, F9, 3, 7) | [i] | ||
| 31 | Linear OOA(963, large, F9, 3, 7) | [i] | OOA Duplication | |
| 32 | Linear OOA(964, large, F9, 3, 7) | [i] | ||
| 33 | Linear OOA(962, 8388602, F9, 9, 7) (dual of [(8388602, 9), 75497356, 8]-NRT-code) | [i] | OOA Stacking with Additional Row | |