Information on Result #912782
Linear OOA(3142, 80, F3, 2, 89) (dual of [(80, 2), 18, 90]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(2714, 20, F27, 14) (dual of [20, 6, 15]-code or 20-arc in PG(13,27)), using
- discarding factors / shortening the dual code based on linear OA(2714, 27, F27, 14) (dual of [27, 13, 15]-code or 27-arc in PG(13,27)), using
- Reed–Solomon code RS(13,27) [i]
- discarding factors / shortening the dual code based on linear OA(2714, 27, F27, 14) (dual of [27, 13, 15]-code or 27-arc in PG(13,27)), 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(3142, 80, F3, 2, 88) (dual of [(80, 2), 18, 89]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3142, 80, F3, 2, 87) (dual of [(80, 2), 18, 88]-NRT-code) | [i] | ||
| 3 | Linear OOA(3143, 80, F3, 2, 89) (dual of [(80, 2), 17, 90]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(3141, 79, F3, 2, 88) (dual of [(79, 2), 17, 89]-NRT-code) | [i] | Truncation for OOAs | |
| 5 | Linear OOA(3140, 79, F3, 2, 87) (dual of [(79, 2), 18, 88]-NRT-code) | [i] | ||
| 6 | Linear OOA(3139, 78, F3, 2, 86) (dual of [(78, 2), 17, 87]-NRT-code) | [i] | ||
| 7 | Linear OOA(3138, 78, F3, 2, 85) (dual of [(78, 2), 18, 86]-NRT-code) | [i] | ||
| 8 | Linear OOA(3137, 77, F3, 2, 84) (dual of [(77, 2), 17, 85]-NRT-code) | [i] | ||
| 9 | Linear OOA(3136, 77, F3, 2, 83) (dual of [(77, 2), 18, 84]-NRT-code) | [i] | ||
| 10 | Linear OOA(3135, 76, F3, 2, 82) (dual of [(76, 2), 17, 83]-NRT-code) | [i] | ||
| 11 | Linear OOA(3142, 40, F3, 4, 89) (dual of [(40, 4), 18, 90]-NRT-code) | [i] | OOA Folding | |