Information on Result #622083
Linear OA(760, 65, F7, 48) (dual of [65, 5, 49]-code), using construction X applied to C1 ⊂ C0 based on
- linear OA(754, 57, F7, 48) (dual of [57, 3, 49]-code), using code C1 for u = 3 by de Boer and Brouwer [i]
- linear OA(751, 57, F7, 41) (dual of [57, 6, 42]-code), using code C0 for u = 3 by de Boer and Brouwer [i]
- linear OA(76, 8, F7, 6) (dual of [8, 2, 7]-code or 8-arc in PG(5,7)), using
- extended Reed–Solomon code RSe(2,7) [i]
- Simplex code S(2,7) [i]
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(765, 70, F7, 49) (dual of [70, 5, 50]-code) | [i] | Juxtaposition | |
| 2 | Linear OA(766, 71, F7, 50) (dual of [71, 5, 51]-code) | [i] | ||
| 3 | Linear OA(767, 72, F7, 51) (dual of [72, 5, 52]-code) | [i] | ||
| 4 | Linear OA(768, 73, F7, 52) (dual of [73, 5, 53]-code) | [i] | ||
| 5 | Linear OA(770, 75, F7, 53) (dual of [75, 5, 54]-code) | [i] | ||
| 6 | Linear OA(771, 76, F7, 54) (dual of [76, 5, 55]-code) | [i] | ||
| 7 | Linear OA(773, 78, F7, 55) (dual of [78, 5, 56]-code) | [i] | ||
| 8 | Linear OA(774, 79, F7, 56) (dual of [79, 5, 57]-code) | [i] | ||
| 9 | Linear OA(775, 80, F7, 57) (dual of [80, 5, 58]-code) | [i] | ||