Information on Result #641503
Linear OA(831, 34, F8, 27) (dual of [34, 3, 28]-code), using juxtaposition based on
- linear OA(83, 6, F8, 3) (dual of [6, 3, 4]-code or 6-arc in PG(2,8) or 6-cap in PG(2,8)), using
- discarding factors / shortening the dual code based on linear OA(83, 8, F8, 3) (dual of [8, 5, 4]-code or 8-arc in PG(2,8) or 8-cap in PG(2,8)), using
- Reed–Solomon code RS(5,8) [i]
- discarding factors / shortening the dual code based on linear OA(83, 8, F8, 3) (dual of [8, 5, 4]-code or 8-arc in PG(2,8) or 8-cap in PG(2,8)), using
- linear OA(825, 28, F8, 23) (dual of [28, 3, 24]-code), using
- Denniston code D(2,8) [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 OOA(2195, 102, F2, 2, 111) (dual of [(102, 2), 9, 112]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 2 | Linear OOA(831, 17, F8, 2, 27) (dual of [(17, 2), 3, 28]-NRT-code) | [i] | OOA Folding | |