Information on Result #1079223
Linear OOA(3132, 8388600, F3, 4, 9) (dual of [(8388600, 4), 33554268, 10]-NRT-code), using trace code based on linear OOA(8133, 2097150, F81, 4, 9) (dual of [(2097150, 4), 8388567, 10]-NRT-code), using
- OOA 4-folding [i] based on linear OA(8133, 8388600, F81, 9) (dual of [8388600, 8388567, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(8133, large, F81, 9) (dual of [large, large−33, 10]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523361 | 818−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(8133, large, F81, 9) (dual of [large, large−33, 10]-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(3133, 8388600, F3, 4, 9) (dual of [(8388600, 4), 33554267, 10]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(3134, 8388600, F3, 4, 9) (dual of [(8388600, 4), 33554266, 10]-NRT-code) | [i] | ||
| 3 | Linear OOA(3135, 8388600, F3, 4, 9) (dual of [(8388600, 4), 33554265, 10]-NRT-code) | [i] | ||
| 4 | Linear OOA(3136, large, F3, 4, 9) | [i] | (u, u+v)-Construction for OOAs | |
| 5 | Linear OOA(3132, 8388599, F3, 5, 9) (dual of [(8388599, 5), 41942863, 10]-NRT-code) | [i] | OOA Stacking with Additional Row | |
| 6 | Linear OOA(3132, 8388599, F3, 12, 9) (dual of [(8388599, 12), 100663056, 10]-NRT-code) | [i] | ||