Information on Result #663437
Linear OA(837, 42, F8, 29) (dual of [42, 5, 30]-code), using generalized (u, u+v)-construction based on
- linear OA(84, 6, F8, 4) (dual of [6, 2, 5]-code or 6-arc in PG(3,8)), using
- discarding factors / shortening the dual code based on linear OA(84, 8, F8, 4) (dual of [8, 4, 5]-code or 8-arc in PG(3,8)), using
- Reed–Solomon code RS(4,8) [i]
- discarding factors / shortening the dual code based on linear OA(84, 8, F8, 4) (dual of [8, 4, 5]-code or 8-arc in PG(3,8)), using
- linear OA(84, 6, F8, 4) (dual of [6, 2, 5]-code or 6-arc in PG(3,8)) (see above)
- linear OA(85, 6, F8, 5) (dual of [6, 1, 6]-code or 6-arc in PG(4,8)), using
- dual of repetition code with length 6 [i]
- linear OA(86, 6, F8, 6) (dual of [6, 0, 7]-code or 6-arc in PG(5,8)), using
- linear OA(86, 6, F8, 6) (dual of [6, 0, 7]-code or 6-arc in PG(5,8)) (see above)
- linear OA(86, 6, F8, 6) (dual of [6, 0, 7]-code or 6-arc in PG(5,8)) (see above)
- linear OA(86, 6, F8, 6) (dual of [6, 0, 7]-code or 6-arc in PG(5,8)) (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(8102, 107, F8, 81) (dual of [107, 5, 82]-code) | [i] | Juxtaposition | |