Information on Result #663435
Linear OA(846, 49, F8, 41) (dual of [49, 3, 42]-code), using generalized (u, u+v)-construction based on
- linear OA(85, 7, F8, 5) (dual of [7, 2, 6]-code or 7-arc in PG(4,8)), using
- discarding factors / shortening the dual code based on linear OA(85, 8, F8, 5) (dual of [8, 3, 6]-code or 8-arc in PG(4,8)), using
- Reed–Solomon code RS(3,8) [i]
- discarding factors / shortening the dual code based on linear OA(85, 8, F8, 5) (dual of [8, 3, 6]-code or 8-arc in PG(4,8)), using
- linear OA(86, 7, F8, 6) (dual of [7, 1, 7]-code or 7-arc in PG(5,8)), using
- dual of repetition code with length 7 [i]
- linear OA(87, 7, F8, 7) (dual of [7, 0, 8]-code or 7-arc in PG(6,8)), using
- linear OA(87, 7, F8, 7) (dual of [7, 0, 8]-code or 7-arc in PG(6,8)) (see above)
- linear OA(87, 7, F8, 7) (dual of [7, 0, 8]-code or 7-arc in PG(6,8)) (see above)
- linear OA(87, 7, F8, 7) (dual of [7, 0, 8]-code or 7-arc in PG(6,8)) (see above)
- linear OA(87, 7, F8, 7) (dual of [7, 0, 8]-code or 7-arc in PG(6,8)) (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 OA(845, 48, F8, 40) (dual of [48, 3, 41]-code) | [i] | Truncation | |
| 2 | Linear OA(844, 47, F8, 39) (dual of [47, 3, 40]-code) | [i] | ||
| 3 | Linear OA(843, 46, F8, 38) (dual of [46, 3, 39]-code) | [i] | ||
| 4 | Linear OA(842, 45, F8, 37) (dual of [45, 3, 38]-code) | [i] | ||
| 5 | Linear OA(841, 44, F8, 36) (dual of [44, 3, 37]-code) | [i] | ||
| 6 | Linear OOA(846, 24, F8, 2, 41) (dual of [(24, 2), 2, 42]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(846, 16, F8, 3, 41) (dual of [(16, 3), 2, 42]-NRT-code) | [i] | ||