Information on Result #663439
Linear OA(830, 36, F8, 23) (dual of [36, 6, 24]-code), using generalized (u, u+v)-construction 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(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(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)
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(2198, 108, F2, 2, 95) (dual of [(108, 2), 18, 96]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 2 | Linear OOA(830, 18, F8, 2, 23) (dual of [(18, 2), 6, 24]-NRT-code) | [i] | OOA Folding | |