Information on Result #1013687
Linear OOA(765, large, F7, 3, 6), using (u, u+v)-construction based on
- linear OOA(713, 6120101, F7, 3, 3) (dual of [(6120101, 3), 18360290, 4]-NRT-code), using
- appending kth column [i] based on linear OOA(713, 6120101, F7, 2, 3) (dual of [(6120101, 2), 12240189, 4]-NRT-code), using
- OAs with strength 3, b ≠ 2, and m > 3 are always embeddable [i] based on linear OA(713, 6120101, F7, 3) (dual of [6120101, 6120088, 4]-code or 6120101-cap in PG(12,7)), using
- appending kth column [i] based on linear OOA(713, 6120101, F7, 2, 3) (dual of [(6120101, 2), 12240189, 4]-NRT-code), using
- linear OOA(752, 5592402, F7, 3, 6) (dual of [(5592402, 3), 16777154, 7]-NRT-code), using
- trace code [i] based on linear OOA(4926, 2796201, F49, 3, 6) (dual of [(2796201, 3), 8388577, 7]-NRT-code), using
- OOA 3-folding [i] based on linear OA(4926, large, F49, 6) (dual of [large, large−26, 7]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 25679568 | 495−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
- OOA 3-folding [i] based on linear OA(4926, large, F49, 6) (dual of [large, large−26, 7]-code), using
- trace code [i] based on linear OOA(4926, 2796201, F49, 3, 6) (dual of [(2796201, 3), 8388577, 7]-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(765, large, F7, 3, 5) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(765, large, F7, 3, 4) | [i] | ||
| 3 | Linear OOA(765, large, F7, 3, 3) | [i] | ||