Information on Result #1015915
Linear OOA(961, 7004232, F9, 3, 7) (dual of [(7004232, 3), 21012635, 8]-NRT-code), using (u, u+v)-construction based on
- linear OOA(911, 1411830, F9, 3, 3) (dual of [(1411830, 3), 4235479, 4]-NRT-code), using
- appending kth column [i] based on linear OOA(911, 1411830, F9, 2, 3) (dual of [(1411830, 2), 2823649, 4]-NRT-code), using
- OAs with strength 3, b ≠ 2, and m > 3 are always embeddable [i] based on linear OA(911, 1411830, F9, 3) (dual of [1411830, 1411819, 4]-code or 1411830-cap in PG(10,9)), using
- appending kth column [i] based on linear OOA(911, 1411830, F9, 2, 3) (dual of [(1411830, 2), 2823649, 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 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(961, 7004231, F9, 9, 7) (dual of [(7004231, 9), 63038018, 8]-NRT-code) | [i] | OOA Stacking with Additional Row | |