Information on Result #912828
Linear OOA(3187, 104, F3, 2, 119) (dual of [(104, 2), 21, 120]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(2719, 26, F27, 19) (dual of [26, 7, 20]-code or 26-arc in PG(18,27)), using
- discarding factors / shortening the dual code based on linear OA(2719, 27, F27, 19) (dual of [27, 8, 20]-code or 27-arc in PG(18,27)), using
- Reed–Solomon code RS(8,27) [i]
- discarding factors / shortening the dual code based on linear OA(2719, 27, F27, 19) (dual of [27, 8, 20]-code or 27-arc in PG(18,27)), using
- linear OOA(35, 4, F3, 2, 5) (dual of [(4, 2), 3, 6]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;3,3) [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(3187, 104, F3, 2, 118) (dual of [(104, 2), 21, 119]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3187, 104, F3, 2, 117) (dual of [(104, 2), 21, 118]-NRT-code) | [i] | ||
| 3 | Linear OOA(3187, 104, F3, 2, 116) (dual of [(104, 2), 21, 117]-NRT-code) | [i] | ||
| 4 | Linear OOA(3187, 104, F3, 2, 115) (dual of [(104, 2), 21, 116]-NRT-code) | [i] | ||
| 5 | Linear OOA(3188, 104, F3, 2, 119) (dual of [(104, 2), 20, 120]-NRT-code) | [i] | OOA Duplication | |
| 6 | Linear OOA(3186, 103, F3, 2, 118) (dual of [(103, 2), 20, 119]-NRT-code) | [i] | Truncation for OOAs | |
| 7 | Linear OOA(3185, 103, F3, 2, 117) (dual of [(103, 2), 21, 118]-NRT-code) | [i] | ||
| 8 | Linear OOA(3184, 102, F3, 2, 116) (dual of [(102, 2), 20, 117]-NRT-code) | [i] | ||
| 9 | Linear OOA(3183, 102, F3, 2, 115) (dual of [(102, 2), 21, 116]-NRT-code) | [i] | ||
| 10 | Linear OOA(3182, 101, F3, 2, 114) (dual of [(101, 2), 20, 115]-NRT-code) | [i] | ||
| 11 | Linear OOA(3181, 101, F3, 2, 113) (dual of [(101, 2), 21, 114]-NRT-code) | [i] | ||
| 12 | Linear OOA(3180, 100, F3, 2, 112) (dual of [(100, 2), 20, 113]-NRT-code) | [i] | ||
| 13 | Linear OOA(3187, 52, F3, 4, 119) (dual of [(52, 4), 21, 120]-NRT-code) | [i] | OOA Folding | |