Information on Result #663144
Linear OA(730, 36, F7, 23) (dual of [36, 6, 24]-code), using generalized (u, u+v)-construction based on
- linear OA(73, 6, F7, 3) (dual of [6, 3, 4]-code or 6-arc in PG(2,7) or 6-cap in PG(2,7)), using
- discarding factors / shortening the dual code based on linear OA(73, 7, F7, 3) (dual of [7, 4, 4]-code or 7-arc in PG(2,7) or 7-cap in PG(2,7)), using
- Reed–Solomon code RS(4,7) [i]
- discarding factors / shortening the dual code based on linear OA(73, 7, F7, 3) (dual of [7, 4, 4]-code or 7-arc in PG(2,7) or 7-cap in PG(2,7)), using
- linear OA(74, 6, F7, 4) (dual of [6, 2, 5]-code or 6-arc in PG(3,7)), using
- discarding factors / shortening the dual code based on linear OA(74, 7, F7, 4) (dual of [7, 3, 5]-code or 7-arc in PG(3,7)), using
- Reed–Solomon code RS(3,7) [i]
- discarding factors / shortening the dual code based on linear OA(74, 7, F7, 4) (dual of [7, 3, 5]-code or 7-arc in PG(3,7)), using
- linear OA(75, 6, F7, 5) (dual of [6, 1, 6]-code or 6-arc in PG(4,7)), using
- dual of repetition code with length 6 [i]
- linear OA(76, 6, F7, 6) (dual of [6, 0, 7]-code or 6-arc in PG(5,7)), using
- linear OA(76, 6, F7, 6) (dual of [6, 0, 7]-code or 6-arc in PG(5,7)) (see above)
- linear OA(76, 6, F7, 6) (dual of [6, 0, 7]-code or 6-arc in PG(5,7)) (see above)
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 OOA(730, 18, F7, 2, 23) (dual of [(18, 2), 6, 24]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(730, 12, F7, 3, 23) (dual of [(12, 3), 6, 24]-NRT-code) | [i] | ||