Information on Result #911142
Linear OOA(227, 18, F2, 2, 15) (dual of [(18, 2), 9, 16]-NRT-code), using concatenation of two NRT-codes 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 OOA(23, 3, F2, 2, 3) (dual of [(3, 2), 3, 4]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;3,2) [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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(227, 18, F2, 2, 14) (dual of [(18, 2), 9, 15]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(226, 17, F2, 2, 14) (dual of [(17, 2), 8, 15]-NRT-code) | [i] | Truncation for OOAs | |
| 3 | Linear OOA(227, 9, F2, 4, 15) (dual of [(9, 4), 9, 16]-NRT-code) | [i] | OOA Folding | |