Information on Result #994165
Linear OOA(713, 6120101, F7, 3, 3) (dual of [(6120101, 3), 18360290, 4]-NRT-code), using appending kth column 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
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(755, 7686404, F7, 3, 6) (dual of [(7686404, 3), 23059157, 7]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(757, 7686412, F7, 3, 6) (dual of [(7686412, 3), 23059179, 7]-NRT-code) | [i] | ||
| 3 | Linear OOA(758, 7686420, F7, 3, 6) (dual of [(7686420, 3), 23059202, 7]-NRT-code) | [i] | ||
| 4 | Linear OOA(759, 7686504, F7, 3, 6) (dual of [(7686504, 3), 23059453, 7]-NRT-code) | [i] | ||
| 5 | Linear OOA(760, 7686668, F7, 3, 6) (dual of [(7686668, 3), 23059944, 7]-NRT-code) | [i] | ||
| 6 | Linear OOA(761, 7687272, F7, 3, 6) (dual of [(7687272, 3), 23061755, 7]-NRT-code) | [i] | ||
| 7 | Linear OOA(762, 7691402, F7, 3, 6) (dual of [(7691402, 3), 23074144, 7]-NRT-code) | [i] | ||
| 8 | Linear OOA(763, 7699348, F7, 3, 6) (dual of [(7699348, 3), 23097981, 7]-NRT-code) | [i] | ||
| 9 | Linear OOA(764, 7729514, F7, 3, 6) (dual of [(7729514, 3), 23188478, 7]-NRT-code) | [i] | ||
| 10 | Linear OOA(765, large, F7, 3, 6) | [i] | ||
| 11 | Linear OOA(763, 7686404, F7, 3, 7) (dual of [(7686404, 3), 23059149, 8]-NRT-code) | [i] | ||
| 12 | Linear OOA(765, 7686416, F7, 3, 7) (dual of [(7686416, 3), 23059183, 8]-NRT-code) | [i] | ||
| 13 | Linear OOA(766, 7686420, F7, 3, 7) (dual of [(7686420, 3), 23059194, 8]-NRT-code) | [i] | ||
| 14 | Linear OOA(767, 7686504, F7, 3, 7) (dual of [(7686504, 3), 23059445, 8]-NRT-code) | [i] | ||
| 15 | Linear OOA(768, 7686668, F7, 3, 7) (dual of [(7686668, 3), 23059936, 8]-NRT-code) | [i] | ||
| 16 | Linear OOA(769, 7687272, F7, 3, 7) (dual of [(7687272, 3), 23061747, 8]-NRT-code) | [i] | ||
| 17 | Linear OOA(770, 7691402, F7, 3, 7) (dual of [(7691402, 3), 23074136, 8]-NRT-code) | [i] | ||
| 18 | Linear OOA(771, 7699348, F7, 3, 7) (dual of [(7699348, 3), 23097973, 8]-NRT-code) | [i] | ||
| 19 | Linear OOA(772, 7729514, F7, 3, 7) (dual of [(7729514, 3), 23188470, 8]-NRT-code) | [i] | ||
| 20 | Linear OOA(773, 7931404, F7, 3, 7) (dual of [(7931404, 3), 23794139, 8]-NRT-code) | [i] | ||
| 21 | Linear OOA(775, large, F7, 3, 7) | [i] | ||
| 22 | Digital (10, 13, 6120101)-net over F7 | [i] | Net Defined by OOA | |